NTSGrad Spring 2018/Abstracts

This page contains the titles and abstracts for talks scheduled in the Spring 2018 semester. To go back to the main NTSGrad page, click here.

Jan 23

Solly Parenti

Rankin-Selberg L-functions

What do you get when you cross an Eisenstein series with a cuspform? An L-function! Since there's no modular forms course this semester, I will try to squeeze in an entire semester's course on modular forms during the first part of this talk, and then I'll explain the Rankin-Selberg method of establishing analytic continuation of certain L-functions.

Jan 30

Wanlin Li

Intersection Theory on Modular Curves

My talk is based on the paper by François Charles with title "FROBENIUS DISTRIBUTION FOR PAIRS OF ELLIPTIC CURVES AND EXCEPTIONAL ISOGENIES". I will talk about the main theorem and give some intuition and heuristic behind it. I will also give a sketch of the proof.

Feb 6

Dongxi Ye

Modular Forms, Borcherds Lifting and Gross-Zagier Type CM Value Formulas

During the course of past decades, modular forms and Borcherds lifting have been playing an increasingly central role in number theory. In this talk, I will partially justify these by discussing some recent progress on some topics in number theory, such as representations by quadratic forms and Gross-Zagier type CM value formulas.

Feb 20

Ewan Dalby

The Cuspidal Rational Torsion Subgroup of J_0(p)

I will define the cuspidal rational torsion subgroup for the Jacobian of the modular curve J_0(N) and try to convince you that in the case of J_0(p) it is cyclic of order (p-1)/gcd(p-1,12).

Feb 27

Brandon Alberts

A Brief Introduction to Iwasawa Theory

A bare bones introduction to the subject of Iwasawa theory, its main results, and some of the tools used to prove them. This talk will serve as both a small taste of the subject and a prep talk for the upcoming Arizona Winter School.

Mar 13

Solly Parenti

Do You Even Lift?

Theta series are generating functions of the number of ways integers can be represented by quadratic forms. Using theta series, we will construct the theta lift as a way to transfer modular(ish) forms between groups.

Mar 20

Soumya Sankar

Finite Hypergeometric Functions: An Introduction

Finite Hypergeometric functions are finite field analogues of classical hypergeometric functions that come up in analysis. I will define these and talk about some ways in which they are useful in studying important number theoretic questions.

Apr 3

Brandon Alberts

Certain Unramified Metabelian Extensions Using Lemmermeyer Factorizations

We use conditions on the discriminant of an abelian extension [math]\displaystyle{ K/\mathbb{Q} }[/math] to classify unramified extensions [math]\displaystyle{ L/K }[/math] normal over [math]\displaystyle{ \mathbb{Q} }[/math] where the (nontrivial) commutator subgroup of [math]\displaystyle{ \text{Gal}(L/\mathbb{Q}) }[/math] is contained in its center. This generalizes a result due to Lemmermeyer stating that the quadratic field of discriminant [math]\displaystyle{ d }[/math], [math]\displaystyle{ \mathbb{Q}( \sqrt{d}) }[/math], has an unramified extension [math]\displaystyle{ M/\mathbb{Q}( \sqrt{d}) }[/math] normal over [math]\displaystyle{ \mathbb{Q} }[/math] with [math]\displaystyle{ \text{Gal}(M/\mathbb{Q}( \sqrt{d})) = H_8 }[/math] (the quaternion group) if and only if the discriminant factors [math]\displaystyle{ d = d_1 d_2 d_3 }[/math] into a product of three coprime discriminants, at most one of which is negative, satisfying [math]\displaystyle{ \left(\frac{d_i d_j}{p_k}\right) = 1 }[/math] for each choice of [math]\displaystyle{ \{i, j, k\} = \{1, 2, 3\} }[/math] and prime [math]\displaystyle{ p_k | d_k }[/math].

Apr 10

Niudun Wang

Nodal Domains of Maass Forms

Hecke-Maass cusp forms on modular surfaces produce nodal lines that divide the surface into disjoint nodal domains. I will briefly talk about this process and estimate the number of nodal domains as the eigenvalues vary.

Apr 17

Qiao He

An Introduction to Automorphic Representations

Automorphic representation is a powerful tool to study L-functions. For me, Tate's marvelous thesis is the real beginning of the whole theory. So I will start with Tate's thesis, which is really the automorphic representation of [math]\displaystyle{ GL_1 }[/math]. Then I will talk about how to generalize Tate's idea to higher dimensions and explain some ideas behind Langlands program. If there is still time left, I will also mention the trace formula and use it to prove the classical Poisson summation formula.

Apr 23

Iván Ongay Valverde

Definability of Frobenius Orbits and a Result on Rational Distance Sets

In this talk I will present a paper by Héctor Pastén. We will talk about the meaning of definability in a ring and how having a formula that identifies Frobenius orbits can help you show an analogous case of Hilbert's tenth problem (the one asking for an algorithm that tells you if a diophantine equation is solvable or not). Finally, if time permits, we will do an application that solves the existence of a dense set in the plane with rational distances, assuming some form of the ABC conjecture. This last question was proposed by Erdös and Ulam.

Apr 24

Brandon Boggess

Moving from Local to Global

What do problems over local fields tell us about global problems?

May 1

Qiao He

An Introduction to Automorphic Representations - Part II

Last time I talked about Tate's thesis, which is actually the theory of automorphic representation of GL_1. This time I will continue. First, I will give the definition of automorphic representation, and use Hecke characters and modular forms to motivate the definition. Then I will explain some classical results about automorphic representation, and discuss how automorphic representations are related to L-functions.

May 8

Sun Woo Park

Parametrization of elliptic curves by Shimura curves

Let f be a weight-2 newform on [math]\displaystyle{ \Gamma_0(N) }[/math]. Given a fixed isogeny class of semistable elliptic curves over [math]\displaystyle{ \mathbb{Q} }[/math], for some [math]\displaystyle{ N }[/math] there exists a distinguished element [math]\displaystyle{ A }[/math] of the isogeny class such that [math]\displaystyle{ A }[/math] is the strong modular curve attached to f. In fact, [math]\displaystyle{ A }[/math] is a quotient of [math]\displaystyle{ J_0(N) }[/math] by an abelian variety, from which we can obtain a covering map [math]\displaystyle{ \pi: X_0(N) \rightarrow A }[/math]. Based on Ribet and Takahashi’s paper, I will discuss the properties of the covering map as well as its generalization to Shimura curves.

( ! ) Deprecated: Use of ParserOutput::addModules with non-array argument was deprecated in MediaWiki 1.38. [Called from SimpleMathJaxHooks::renderTex in /var/www/wiki_mediawiki-1.39.3/extensions/SimpleMathJax/SimpleMathJaxHooks.php at line 34] in /var/www/wiki_mediawiki-1.39.3/includes/debug/MWDebug.php on line 381
Call Stack
#	Time	Memory	Function	Location
1	0.0003	358104	{main}( )	.../index.php:0
2	0.0500	1479416	wfIndexMain( )	.../index.php:46
3	0.0500	1479528	MediaWiki->run( )	.../index.php:50
4	0.0500	1479528	MediaWiki->main( )	.../MediaWiki.php:562
5	0.0511	1484792	MediaWiki->performRequest( )	.../MediaWiki.php:904
6	0.0716	1663920	MediaWiki->performAction( $article = class Article { protected $mContext = class RequestContext { private $request = class WebRequest { ... }; private $title = class Title { ... }; private $wikipage = class WikiPage { ... }; private $action = 'view'; private $output = class OutputPage { ... }; private $user = class User { ... }; private $authority = NULL; private $lang = class LanguageEn { ... }; private $skin = class MediaWiki\Skins\Vector\SkinVectorLegacy { ... }; private $timing = NULL; private $config = class GlobalVarConfig { ... }; private $languageRecursion = FALSE }; protected $mPage = class WikiPage { protected $mTitle = class Title { ... }; protected $mDataLoaded = TRUE; private $mPageIsRedirectField = FALSE; private $mHasRedirectTarget = NULL; protected $mRedirectTarget = NULL; private $mIsNew = FALSE; private $mIsRedirect = FALSE; protected $mLatest = 15507; protected $mPreparedEdit = FALSE; protected $mId = 1383; protected $mDataLoadedFrom = 0; private $mLastRevision = class MediaWiki\Revision\RevisionStoreRecord { ... }; protected $mTimestamp = '20180506233751'; protected $mTouched = '20180506233751'; protected $mLanguage = NULL; protected $mLinksUpdated = '20180506233751'; private $derivedDataUpdater = NULL }; public $mOldId = 0; public $mRedirectedFrom = NULL; public $mRedirectUrl = FALSE; private $fetchResult = class Status { protected $ok = TRUE; protected $errors = [...]; public $value = class MediaWiki\Revision\RevisionStoreRecord { ... }; public $success = [...]; public $successCount = 0; public $failCount = 0; public $cleanCallback = FALSE; protected $messageLocalizer = NULL }; public $mParserOutput = NULL; protected $viewIsRenderAction = FALSE; protected $linkRenderer = class MediaWiki\Linker\LinkRenderer { private $forceArticlePath = FALSE; private $expandUrls = FALSE; private $comment = FALSE; private $titleFormatter = class MediaWikiTitleCodec { ... }; private $linkCache = class LinkCache { ... }; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... }; private $specialPageFactory = class MediaWiki\SpecialPage\SpecialPageFactory { ... } }; private $revisionStore = class MediaWiki\Revision\RevisionStore { private $blobStore = class MediaWiki\Storage\SqlBlobStore { ... }; private $wikiId = FALSE; private $loadBalancer = class Wikimedia\Rdbms\LoadBalancer { ... }; private $cache = class WANObjectCache { ... }; private $localCache = class EmptyBagOStuff { ... }; private $commentStore = class CommentStore { ... }; private $actorMigration = class ActorMigration { ... }; private $actorStore = class MediaWiki\User\ActorStore { ... }; private $logger = class MediaWiki\Logger\LegacyLogger { ... }; private $contentModelStore = class MediaWiki\Storage\NameTableStore { ... }; private $slotRoleStore = class MediaWiki\Storage\NameTableStore { ... }; private $slotRoleRegistry = class MediaWiki\Revision\SlotRoleRegistry { ... }; private $contentHandlerFactory = class MediaWiki\Content\ContentHandlerFactory { ... }; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... }; private $pageStore = class MediaWiki\Page\PageStore { ... }; private $titleFactory = class TitleFactory { ... } }; private $watchlistManager = class MediaWiki\Watchlist\WatchlistManager { private $options = class MediaWiki\Config\ServiceOptions { ... }; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... }; private $readOnlyMode = class ReadOnlyMode { ... }; private $revisionLookup = class MediaWiki\Revision\RevisionStore { ... }; private $talkPageNotificationManager = class MediaWiki\User\TalkPageNotificationManager { ... }; private $watchedItemStore = class WatchedItemStore { ... }; private $userFactory = class MediaWiki\User\UserFactory { ... }; private $nsInfo = class NamespaceInfo { ... }; private $wikiPageFactory = class MediaWiki\Page\WikiPageFactory { ... }; private $notificationTimestampCache = [...] }; private $userNameUtils = class MediaWiki\User\UserNameUtils { private $options = class MediaWiki\Config\ServiceOptions { ... }; private $contentLang = class LanguageEn { ... }; private $logger = class MediaWiki\Logger\LegacyLogger { ... }; private $titleParser = class MediaWikiTitleCodec { ... }; private $textFormatter = class MediaWiki\Message\TextFormatter { ... }; private $reservedUsernames = FALSE; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... }; private $tempUserConfig = class MediaWiki\User\TempUser\RealTempUserConfig { ... } }; private $userOptionsLookup = class MediaWiki\User\UserOptionsManager { private $serviceOptions = class MediaWiki\Config\ServiceOptions { ... }; private $defaultOptionsLookup = class MediaWiki\User\DefaultOptionsLookup { ... }; private $languageConverterFactory = class MediaWiki\Languages\LanguageConverterFactory { ... }; private $loadBalancer = class Wikimedia\Rdbms\LoadBalancer { ... }; private $userFactory = class MediaWiki\User\UserFactory { ... }; private $logger = class MediaWiki\Logger\LegacyLogger { ... }; private $modifiedOptions = [...]; private $originalOptionsCache = [...]; private $optionsFromDb = [...]; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... }; private $queryFlagsUsedForCaching = [...] }; private $mRevisionRecord = class MediaWiki\Revision\RevisionStoreRecord { protected $wikiId = FALSE; protected $mId = 15507; protected $mPageId = 1383; protected $mUser = class MediaWiki\User\UserIdentityValue { ... }; protected $mMinorEdit = FALSE; protected $mTimestamp = '20180506233751'; protected $mDeleted = 0; protected $mSize = 11180; protected $mSha1 = 'dodu9tpenpzfs9nqk2h6kw6zuu17m7y'; protected $mParentId = 15506; protected $mComment = class CommentStoreComment { ... }; protected $mPage = class Title { ... }; protected $mSlots = class MediaWiki\Revision\RevisionSlots { ... }; protected $mCurrent = TRUE } }, $requestTitle = class Title { private $mTextform = 'NTSGrad Spring 2018/Abstracts'; private $mUrlform = 'NTSGrad_Spring_2018/Abstracts'; private $mDbkeyform = 'NTSGrad_Spring_2018/Abstracts'; private $mNamespace = 0; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 1383; protected $mLatestID = 15507; private $mContentModel = 'wikitext'; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'NTSGrad Spring 2018/Abstracts'; protected $mLength = 11180; public $mRedirect = FALSE; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = TRUE; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = ['mTextform' => [...], 'mUrlform' => [...], 'mDbkeyform' => [...], 'mNamespace' => [...], 'mInterwiki' => [...], 'mFragment' => [...]]; private $dynamicPropertiesAccessDeprecated = FALSE } )	.../MediaWiki.php:322
7	0.0720	1664128	ViewAction->show( )	.../MediaWiki.php:542
8	0.0727	1664216	Article->view( )	.../ViewAction.php:78
9	0.1048	2181432	Article->generateContentOutput( $performer = class User { public $mId = 0; public $mName = '18.206.13.203'; public $mActorId = NULL; public $mRealName = ''; public $mEmail = ''; public $mTouched = '1'; protected $mQuickTouched = NULL; protected $mToken = NULL; public $mEmailAuthenticated = NULL; protected $mEmailToken = ''; protected $mEmailTokenExpires = NULL; protected $mRegistration = '20231129054545'; protected $mLoadedItems = TRUE; public $mFrom = 'session'; protected $mDatePreference = 'default'; private $mBlockedby = -1; protected $mHash = FALSE; protected $mBlockreason = NULL; protected $mGlobalBlock = NULL; protected $mLocked = NULL; private $mHideName = NULL; private $mRequest = class WebRequest { protected $data = [...]; protected $queryAndPathParams = [...]; protected $queryParams = [...]; protected $headers = [...]; private $response = class WebResponse { ... }; private $ip = '18.206.13.203'; protected $requestTime = 1701236745.8649; protected $protocol = 'http'; protected $sessionId = class MediaWiki\Session\SessionId { ... }; protected $markedAsSafe = FALSE }; private $mBlock = NULL; private $mBlockedFromCreateAccount = FALSE; protected $queryFlagsUsed = 0; private $mThisAsAuthority = class MediaWiki\Permissions\UserAuthority { private $permissionManager = class MediaWiki\Permissions\PermissionManager { ... }; private $actor = ...; private $userBlock = NULL }; private $isTemp = NULL }, $parserOptions = class ParserOptions { private $options = ['dateformat' => 'default', 'speculativeRevId' => NULL, 'speculativePageId' => NULL, 'interfaceMessage' => FALSE, 'targetLanguage' => NULL, 'removeComments' => TRUE, 'suppressTOC' => FALSE, 'enableLimitReport' => FALSE, 'preSaveTransform' => TRUE, 'isPreview' => FALSE, 'isSectionPreview' => FALSE, 'printable' => FALSE, 'allowUnsafeRawHtml' => TRUE, 'wrapclass' => 'mw-parser-output', 'currentRevisionRecordCallback' => class Closure { ... }, 'templateCallback' => [...], 'speculativeRevIdCallback' => class Closure { ... }, 'speculativePageIdCallback' => class Closure { ... }, 'interwikiMagic' => TRUE, 'allowExternalImages' => FALSE, 'allowExternalImagesFrom' => '', 'enableImageWhitelist' => FALSE, 'allowSpecialInclusion' => TRUE, 'maxIncludeSize' => 2097152, 'maxPPNodeCount' => 1000000, 'maxPPExpandDepth' => 100, 'maxTemplateDepth' => 100, 'expensiveParserFunctionLimit' => 100, 'externalLinkTarget' => FALSE, 'cleanSignatures' => TRUE, 'disableContentConversion' => FALSE, 'disableTitleConversion' => FALSE, 'magicISBNLinks' => FALSE, 'magicPMIDLinks' => FALSE, 'magicRFCLinks' => FALSE, 'thumbsize' => 5, 'userlang' => class LanguageEn { ... }]; private $mTimestamp = NULL; private $mUser = class User { public $mId = 0; public $mName = '18.206.13.203'; public $mActorId = NULL; public $mRealName = ''; public $mEmail = ''; public $mTouched = '1'; protected $mQuickTouched = NULL; protected $mToken = NULL; public $mEmailAuthenticated = NULL; protected $mEmailToken = ''; protected $mEmailTokenExpires = NULL; protected $mRegistration = '20231129054545'; protected $mLoadedItems = TRUE; public $mFrom = 'session'; protected $mDatePreference = 'default'; private $mBlockedby = -1; protected $mHash = FALSE; protected $mBlockreason = NULL; protected $mGlobalBlock = NULL; protected $mLocked = NULL; private $mHideName = NULL; private $mRequest = class WebRequest { ... }; private $mBlock = NULL; private $mBlockedFromCreateAccount = FALSE; protected $queryFlagsUsed = 0; private $mThisAsAuthority = class MediaWiki\Permissions\UserAuthority { ... }; private $isTemp = NULL }; private $onAccessCallback = [0 => class ParserOutput { ... }, 1 => 'recordOption']; private $redirectTarget = NULL; private $mExtraKey = '' }, $oldid = 0, $outputPage = class OutputPage { private ${ContextSource}context = class RequestContext { private $request = class WebRequest { ... }; private $title = class Title { ... }; private $wikipage = class WikiPage { ... }; private $action = 'view'; private $output = ...; private $user = class User { ... }; private $authority = NULL; private $lang = class LanguageEn { ... }; private $skin = class MediaWiki\Skins\Vector\SkinVectorLegacy { ... }; private $timing = NULL; private $config = class GlobalVarConfig { ... }; private $languageRecursion = FALSE }; protected $mMetatags = []; protected $mLinktags = []; protected $mCanonicalUrl = FALSE; private $mPageTitle = '<span class="mw-page-title-main">NTSGrad Spring 2018/Abstracts</span>'; private $displayTitle = NULL; private $cacheIsFinal = FALSE; public $mBodytext = ''; private $mHTMLtitle = 'NTSGrad Spring 2018/Abstracts - UW-Math Wiki'; private $mIsArticle = TRUE; private $mIsArticleRelated = TRUE; private $mHasCopyright = FALSE; private $mPrintable = FALSE; private $mSections = []; private $mSubtitle = []; public $mRedirect = ''; protected $mStatusCode = NULL; protected $mLastModified = 'Wed, 31 May 2023 16:53:19 GMT'; protected $mCategoryLinks = []; protected $mCategories = ['hidden' => [...], 'normal' => [...]]; protected $mIndicators = []; private $mLanguageLinks = []; private $mScripts = ''; protected $mInlineStyles = ''; public $mPageLinkTitle = ''; protected $mAdditionalHtmlClasses = []; protected $mHeadItems = []; protected $mAdditionalBodyClasses = []; protected $mModules = []; protected $mModuleStyles = []; protected $mResourceLoader = NULL; private $rlClient = NULL; private $rlClientContext = NULL; private $rlExemptStyleModules = NULL; protected $mJsConfigVars = ['wgSmjUseCdn' => FALSE, 'wgSmjUseChem' => TRUE, 'wgSmjDisplayMath' => [...], 'wgSmjExtraInlineMath' => [...], 'wgSmjScale' => 1.5, 'wgSmjEnableMenu' => TRUE, 'wgSmjDisplayAlign' => 'left']; protected $mTemplateIds = []; protected $mImageTimeKeys = []; public $mRedirectCode = ''; protected $mFeedLinksAppendQuery = NULL; protected $mAllowedModules = ['combined' => 10]; protected $mDoNothing = FALSE; protected $mParserOptions = NULL; private $mFeedLinks = []; protected $mEnableClientCache = TRUE; private $mArticleBodyOnly = FALSE; protected $mNewSectionLink = FALSE; protected $mHideNewSectionLink = FALSE; public $mNoGallery = FALSE; protected $mCdnMaxage = 0; protected $mCdnMaxageLimit = INF; protected $mPreventClickjacking = FALSE; private $mRevisionId = 15507; private $mRevisionIsCurrent = TRUE; private $mRevisionTimestamp = '20180506233751'; protected $mFileVersion = NULL; protected $styles = []; private $mIndexPolicy = 'index'; private $mFollowPolicy = 'follow'; private $mRobotsOptions = []; private $mVaryHeader = ['Accept-Encoding' => NULL]; private $mRedirectedFrom = NULL; private $mProperties = []; private $mTarget = NULL; private $mEnableTOC = FALSE; private $copyrightUrl = NULL; private $limitReportJSData = []; private $contentOverrides = []; private $contentOverrideCallbacks = []; private $mLinkHeader = []; private $CSP = class ContentSecurityPolicy { private $nonce = NULL; private $mwConfig = class GlobalVarConfig { ... }; private $response = class WebResponse { ... }; private $extraDefaultSrc = [...]; private $extraScriptSrc = [...]; private $extraStyleSrc = [...]; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... } } }, $textOptions = ['skin' => class MediaWiki\Skins\Vector\SkinVectorLegacy { private ${ContextSource}context = class RequestContext { ... }; private ${Skin}defaultLinkOptions = [...]; protected $skinname = 'vector'; protected $options = [...]; protected $mRelevantTitle = NULL; private ${Skin}mRelevantUser = FALSE; private ${Skin}languageLinks = NULL; private ${Skin}sidebar = NULL; private ${Skin}componentRegistry = class MediaWiki\Skin\SkinComponentRegistry { ... }; public $template = NULL; public $thispage = NULL; public $titletxt = NULL; public $userpage = NULL; public $thisquery = NULL; public $loggedin = NULL; public $username = NULL; public $userpageUrlDetails = NULL; private ${SkinTemplate}isTempUser = NULL; private ${SkinTemplate}isNamedUser = NULL; private ${SkinTemplate}templateContextSet = FALSE; private ${SkinTemplate}contentNavigationCached = NULL; private ${SkinMustache}templateParser = NULL; private ${MediaWiki\Skins\Vector\SkinVector}languages = NULL }, 'injectTOC' => TRUE, 'enableSectionEditLinks' => FALSE, 'includeDebugInfo' => TRUE] )	.../Article.php:528
10	0.1078	2254464	MediaWiki\Page\ParserOutputAccess->getParserOutput( $page = class WikiPage { protected $mTitle = class Title { private $mTextform = 'NTSGrad Spring 2018/Abstracts'; private $mUrlform = 'NTSGrad_Spring_2018/Abstracts'; private $mDbkeyform = 'NTSGrad_Spring_2018/Abstracts'; private $mNamespace = 0; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 1383; protected $mLatestID = 15507; private $mContentModel = 'wikitext'; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'NTSGrad Spring 2018/Abstracts'; protected $mLength = 11180; public $mRedirect = FALSE; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = TRUE; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; protected $mDataLoaded = TRUE; private $mPageIsRedirectField = FALSE; private $mHasRedirectTarget = NULL; protected $mRedirectTarget = NULL; private $mIsNew = FALSE; private $mIsRedirect = FALSE; protected $mLatest = 15507; protected $mPreparedEdit = FALSE; protected $mId = 1383; protected $mDataLoadedFrom = 0; private $mLastRevision = class MediaWiki\Revision\RevisionStoreRecord { protected $wikiId = FALSE; protected $mId = 15507; protected $mPageId = 1383; protected $mUser = class MediaWiki\User\UserIdentityValue { ... }; protected $mMinorEdit = FALSE; protected $mTimestamp = '20180506233751'; protected $mDeleted = 0; protected $mSize = 11180; protected $mSha1 = 'dodu9tpenpzfs9nqk2h6kw6zuu17m7y'; protected $mParentId = 15506; protected $mComment = class CommentStoreComment { ... }; protected $mPage = class Title { ... }; protected $mSlots = class MediaWiki\Revision\RevisionSlots { ... }; protected $mCurrent = TRUE }; protected $mTimestamp = '20180506233751'; protected $mTouched = '20180506233751'; protected $mLanguage = NULL; protected $mLinksUpdated = '20180506233751'; private $derivedDataUpdater = NULL }, $parserOptions = class ParserOptions { private $options = ['dateformat' => 'default', 'speculativeRevId' => NULL, 'speculativePageId' => NULL, 'interfaceMessage' => FALSE, 'targetLanguage' => NULL, 'removeComments' => TRUE, 'suppressTOC' => FALSE, 'enableLimitReport' => FALSE, 'preSaveTransform' => TRUE, 'isPreview' => FALSE, 'isSectionPreview' => FALSE, 'printable' => FALSE, 'allowUnsafeRawHtml' => TRUE, 'wrapclass' => 'mw-parser-output', 'currentRevisionRecordCallback' => class Closure { ... }, 'templateCallback' => [...], 'speculativeRevIdCallback' => class Closure { ... }, 'speculativePageIdCallback' => class Closure { ... }, 'interwikiMagic' => TRUE, 'allowExternalImages' => FALSE, 'allowExternalImagesFrom' => '', 'enableImageWhitelist' => FALSE, 'allowSpecialInclusion' => TRUE, 'maxIncludeSize' => 2097152, 'maxPPNodeCount' => 1000000, 'maxPPExpandDepth' => 100, 'maxTemplateDepth' => 100, 'expensiveParserFunctionLimit' => 100, 'externalLinkTarget' => FALSE, 'cleanSignatures' => TRUE, 'disableContentConversion' => FALSE, 'disableTitleConversion' => FALSE, 'magicISBNLinks' => FALSE, 'magicPMIDLinks' => FALSE, 'magicRFCLinks' => FALSE, 'thumbsize' => 5, 'userlang' => class LanguageEn { ... }]; private $mTimestamp = NULL; private $mUser = class User { public $mId = 0; public $mName = '18.206.13.203'; public $mActorId = NULL; public $mRealName = ''; public $mEmail = ''; public $mTouched = '1'; protected $mQuickTouched = NULL; protected $mToken = NULL; public $mEmailAuthenticated = NULL; protected $mEmailToken = ''; protected $mEmailTokenExpires = NULL; protected $mRegistration = '20231129054545'; protected $mLoadedItems = TRUE; public $mFrom = 'session'; protected $mDatePreference = 'default'; private $mBlockedby = -1; protected $mHash = FALSE; protected $mBlockreason = NULL; protected $mGlobalBlock = NULL; protected $mLocked = NULL; private $mHideName = NULL; private $mRequest = class WebRequest { ... }; private $mBlock = NULL; private $mBlockedFromCreateAccount = FALSE; protected $queryFlagsUsed = 0; private $mThisAsAuthority = class MediaWiki\Permissions\UserAuthority { ... }; private $isTemp = NULL }; private $onAccessCallback = [0 => class ParserOutput { ... }, 1 => 'recordOption']; private $redirectTarget = NULL; private $mExtraKey = '' }, $revision = class MediaWiki\Revision\RevisionStoreRecord { protected $wikiId = FALSE; protected $mId = 15507; protected $mPageId = 1383; protected $mUser = class MediaWiki\User\UserIdentityValue { private $id = 817; private $name = 'Soumyasankar'; private $wikiId = FALSE }; protected $mMinorEdit = FALSE; protected $mTimestamp = '20180506233751'; protected $mDeleted = 0; protected $mSize = 11180; protected $mSha1 = 'dodu9tpenpzfs9nqk2h6kw6zuu17m7y'; protected $mParentId = 15506; protected $mComment = class CommentStoreComment { public $id = '3099'; public $text = '/* May 8 */'; public $message = class RawMessage { ... }; public $data = NULL }; protected $mPage = class Title { private $mTextform = 'NTSGrad Spring 2018/Abstracts'; private $mUrlform = 'NTSGrad_Spring_2018/Abstracts'; private $mDbkeyform = 'NTSGrad_Spring_2018/Abstracts'; private $mNamespace = 0; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 1383; protected $mLatestID = 15507; private $mContentModel = 'wikitext'; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'NTSGrad Spring 2018/Abstracts'; protected $mLength = 11180; public $mRedirect = FALSE; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = TRUE; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; protected $mSlots = class MediaWiki\Revision\RevisionSlots { protected $slots = [...] }; protected $mCurrent = TRUE }, $options = 5 )	.../Article.php:713
11	0.1094	2298720	PoolCounterWork->execute( $skipcache = ??? )	.../ParserOutputAccess.php:299
12	0.1094	2298912	PoolWorkArticleViewCurrent->doWork( )	.../PoolCounterWork.php:162
13	0.1094	2299168	PoolWorkArticleView->renderRevision( )	.../PoolWorkArticleViewCurrent.php:97
14	0.1096	2302176	MediaWiki\Revision\RenderedRevision->getRevisionParserOutput( $hints = ??? )	.../PoolWorkArticleView.php:91
15	0.1096	2302176	call_user_func:{/var/www/wiki_mediawiki-1.39.3/includes/Revision/RenderedRevision.php:199}( $callback = class Closure { public $this = class MediaWiki\Revision\RevisionRenderer { private $saveParseLogger = class MediaWiki\Logger\LegacyLogger { ... }; private $loadBalancer = class Wikimedia\Rdbms\LoadBalancer { ... }; private $roleRegistery = class MediaWiki\Revision\SlotRoleRegistry { ... }; private $contentRenderer = class MediaWiki\Content\Renderer\ContentRenderer { ... }; private $dbDomain = FALSE }; public $parameter = ['$rrev' => '<required>', '$hints' => '<required>'] }, $args = class MediaWiki\Revision\RenderedRevision { private $revision = class MediaWiki\Revision\RevisionStoreRecord { protected $wikiId = FALSE; protected $mId = 15507; protected $mPageId = 1383; protected $mUser = class MediaWiki\User\UserIdentityValue { ... }; protected $mMinorEdit = FALSE; protected $mTimestamp = '20180506233751'; protected $mDeleted = 0; protected $mSize = 11180; protected $mSha1 = 'dodu9tpenpzfs9nqk2h6kw6zuu17m7y'; protected $mParentId = 15506; protected $mComment = class CommentStoreComment { ... }; protected $mPage = class Title { ... }; protected $mSlots = class MediaWiki\Revision\RevisionSlots { ... }; protected $mCurrent = TRUE }; private $options = class ParserOptions { private $options = [...]; private $mTimestamp = NULL; private $mUser = class User { ... }; private $onAccessCallback = [...]; private $redirectTarget = NULL; private $mExtraKey = '' }; private $audience = 3; private $performer = NULL; private $revisionOutput = NULL; private $slotsOutput = []; private $combineOutput = class Closure { public $this = class MediaWiki\Revision\RevisionRenderer { ... }; public $parameter = [...] }; private $saveParseLogger = class MediaWiki\Logger\LegacyLogger { protected $channel = 'SaveParse'; private $minimumLevel = 999; private $isDB = FALSE }; private $contentRenderer = class MediaWiki\Content\Renderer\ContentRenderer { private $contentHandlerFactory = class MediaWiki\Content\ContentHandlerFactory { ... } } }, [] )	.../RenderedRevision.php:199
16	0.1096	2302248	MediaWiki\Revision\RevisionRenderer->MediaWiki\Revision\{closure:/var/www/wiki_mediawiki-1.39.3/includes/Revision/RevisionRenderer.php:157-159}( $rrev = class MediaWiki\Revision\RenderedRevision { private $revision = class MediaWiki\Revision\RevisionStoreRecord { protected $wikiId = FALSE; protected $mId = 15507; protected $mPageId = 1383; protected $mUser = class MediaWiki\User\UserIdentityValue { ... }; protected $mMinorEdit = FALSE; protected $mTimestamp = '20180506233751'; protected $mDeleted = 0; protected $mSize = 11180; protected $mSha1 = 'dodu9tpenpzfs9nqk2h6kw6zuu17m7y'; protected $mParentId = 15506; protected $mComment = class CommentStoreComment { ... }; protected $mPage = class Title { ... }; protected $mSlots = class MediaWiki\Revision\RevisionSlots { ... }; protected $mCurrent = TRUE }; private $options = class ParserOptions { private $options = [...]; private $mTimestamp = NULL; private $mUser = class User { ... }; private $onAccessCallback = [...]; private $redirectTarget = NULL; private $mExtraKey = '' }; private $audience = 3; private $performer = NULL; private $revisionOutput = NULL; private $slotsOutput = []; private $combineOutput = class Closure { public $this = class MediaWiki\Revision\RevisionRenderer { ... }; public $parameter = [...] }; private $saveParseLogger = class MediaWiki\Logger\LegacyLogger { protected $channel = 'SaveParse'; private $minimumLevel = 999; private $isDB = FALSE }; private $contentRenderer = class MediaWiki\Content\Renderer\ContentRenderer { private $contentHandlerFactory = class MediaWiki\Content\ContentHandlerFactory { ... } } }, $hints = [] )	.../RenderedRevision.php:199
17	0.1096	2302248	MediaWiki\Revision\RevisionRenderer->combineSlotOutput( $rrev = class MediaWiki\Revision\RenderedRevision { private $revision = class MediaWiki\Revision\RevisionStoreRecord { protected $wikiId = FALSE; protected $mId = 15507; protected $mPageId = 1383; protected $mUser = class MediaWiki\User\UserIdentityValue { ... }; protected $mMinorEdit = FALSE; protected $mTimestamp = '20180506233751'; protected $mDeleted = 0; protected $mSize = 11180; protected $mSha1 = 'dodu9tpenpzfs9nqk2h6kw6zuu17m7y'; protected $mParentId = 15506; protected $mComment = class CommentStoreComment { ... }; protected $mPage = class Title { ... }; protected $mSlots = class MediaWiki\Revision\RevisionSlots { ... }; protected $mCurrent = TRUE }; private $options = class ParserOptions { private $options = [...]; private $mTimestamp = NULL; private $mUser = class User { ... }; private $onAccessCallback = [...]; private $redirectTarget = NULL; private $mExtraKey = '' }; private $audience = 3; private $performer = NULL; private $revisionOutput = NULL; private $slotsOutput = []; private $combineOutput = class Closure { public $this = class MediaWiki\Revision\RevisionRenderer { ... }; public $parameter = [...] }; private $saveParseLogger = class MediaWiki\Logger\LegacyLogger { protected $channel = 'SaveParse'; private $minimumLevel = 999; private $isDB = FALSE }; private $contentRenderer = class MediaWiki\Content\Renderer\ContentRenderer { private $contentHandlerFactory = class MediaWiki\Content\ContentHandlerFactory { ... } } }, $hints = [] )	.../RevisionRenderer.php:158
18	0.1096	2302248	MediaWiki\Revision\RenderedRevision->getSlotParserOutput( $role = 'main', $hints = [] )	.../RevisionRenderer.php:221
19	0.1111	2316776	MediaWiki\Revision\RenderedRevision->getSlotParserOutputUncached( $content = class WikitextContent { protected $model_id = 'wikitext'; protected $mText = 'This page contains the titles and abstracts for talks scheduled in the Spring 2018 semester. To go back to the main NTSGrad page, click [[NTSGrad_Spring_2018\|here.]]\n\n== Jan 23 ==\n\n<center>\n{\| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"\n\|-\n\| bgcolor="#F0A0A0" align="center" style="font-size:125%" \| \'\'\'Solly Parenti\'\'\'\n\|-\n\| bgcolor="#BCD2EE" align="center" \| \'\'Rankin-Selberg L-functions\'\'\n\|-\n\| bgcolor="#BCD2EE" \| \nWhat do you get when you cross an Ei'...; private $redirectTargetAndText = [0 => NULL, 1 => 'This page contains the titles and abstracts for talks scheduled in the Spring 2018 semester. To go back to the main NTSGrad page, click [[NTSGrad_Spring_2018\|here.]]\n\n== Jan 23 ==\n\n<center>\n{\| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"\n\|-\n\| bgcolor="#F0A0A0" align="center" style="font-size:125%" \| \'\'\'Solly Parenti\'\'\'\n\|-\n\| bgcolor="#BCD2EE" align="center" \| \'\'Rankin-Selberg L-functions\'\'\n\|-\n\| bgcolor="#BCD2EE" \| \nWhat do you get when you cross an Ei'...]; private $preSaveTransformFlags = [] }, $withHtml = TRUE )	.../RenderedRevision.php:237
20	0.1111	2316776	MediaWiki\Content\Renderer\ContentRenderer->getParserOutput( $content = class WikitextContent { protected $model_id = 'wikitext'; protected $mText = 'This page contains the titles and abstracts for talks scheduled in the Spring 2018 semester. To go back to the main NTSGrad page, click [[NTSGrad_Spring_2018\|here.]]\n\n== Jan 23 ==\n\n<center>\n{\| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"\n\|-\n\| bgcolor="#F0A0A0" align="center" style="font-size:125%" \| \'\'\'Solly Parenti\'\'\'\n\|-\n\| bgcolor="#BCD2EE" align="center" \| \'\'Rankin-Selberg L-functions\'\'\n\|-\n\| bgcolor="#BCD2EE" \| \nWhat do you get when you cross an Ei'...; private $redirectTargetAndText = [0 => NULL, 1 => 'This page contains the titles and abstracts for talks scheduled in the Spring 2018 semester. To go back to the main NTSGrad page, click [[NTSGrad_Spring_2018\|here.]]\n\n== Jan 23 ==\n\n<center>\n{\| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"\n\|-\n\| bgcolor="#F0A0A0" align="center" style="font-size:125%" \| \'\'\'Solly Parenti\'\'\'\n\|-\n\| bgcolor="#BCD2EE" align="center" \| \'\'Rankin-Selberg L-functions\'\'\n\|-\n\| bgcolor="#BCD2EE" \| \nWhat do you get when you cross an Ei'...]; private $preSaveTransformFlags = [] }, $page = class Title { private $mTextform = 'NTSGrad Spring 2018/Abstracts'; private $mUrlform = 'NTSGrad_Spring_2018/Abstracts'; private $mDbkeyform = 'NTSGrad_Spring_2018/Abstracts'; private $mNamespace = 0; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 1383; protected $mLatestID = 15507; private $mContentModel = 'wikitext'; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'NTSGrad Spring 2018/Abstracts'; protected $mLength = 11180; public $mRedirect = FALSE; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = TRUE; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = ['mTextform' => [...], 'mUrlform' => [...], 'mDbkeyform' => [...], 'mNamespace' => [...], 'mInterwiki' => [...], 'mFragment' => [...]]; private $dynamicPropertiesAccessDeprecated = FALSE }, $revId = 15507, $parserOptions = class ParserOptions { private $options = ['dateformat' => 'default', 'speculativeRevId' => NULL, 'speculativePageId' => NULL, 'interfaceMessage' => FALSE, 'targetLanguage' => NULL, 'removeComments' => TRUE, 'suppressTOC' => FALSE, 'enableLimitReport' => FALSE, 'preSaveTransform' => TRUE, 'isPreview' => FALSE, 'isSectionPreview' => FALSE, 'printable' => FALSE, 'allowUnsafeRawHtml' => TRUE, 'wrapclass' => 'mw-parser-output', 'currentRevisionRecordCallback' => class Closure { ... }, 'templateCallback' => [...], 'speculativeRevIdCallback' => class Closure { ... }, 'speculativePageIdCallback' => class Closure { ... }, 'interwikiMagic' => TRUE, 'allowExternalImages' => FALSE, 'allowExternalImagesFrom' => '', 'enableImageWhitelist' => FALSE, 'allowSpecialInclusion' => TRUE, 'maxIncludeSize' => 2097152, 'maxPPNodeCount' => 1000000, 'maxPPExpandDepth' => 100, 'maxTemplateDepth' => 100, 'expensiveParserFunctionLimit' => 100, 'externalLinkTarget' => FALSE, 'cleanSignatures' => TRUE, 'disableContentConversion' => FALSE, 'disableTitleConversion' => FALSE, 'magicISBNLinks' => FALSE, 'magicPMIDLinks' => FALSE, 'magicRFCLinks' => FALSE, 'thumbsize' => 5, 'userlang' => class LanguageEn { ... }]; private $mTimestamp = NULL; private $mUser = class User { public $mId = 0; public $mName = '18.206.13.203'; public $mActorId = NULL; public $mRealName = ''; public $mEmail = ''; public $mTouched = '1'; protected $mQuickTouched = NULL; protected $mToken = NULL; public $mEmailAuthenticated = NULL; protected $mEmailToken = ''; protected $mEmailTokenExpires = NULL; protected $mRegistration = '20231129054545'; protected $mLoadedItems = TRUE; public $mFrom = 'session'; protected $mDatePreference = 'default'; private $mBlockedby = -1; protected $mHash = FALSE; protected $mBlockreason = NULL; protected $mGlobalBlock = NULL; protected $mLocked = NULL; private $mHideName = NULL; private $mRequest = class WebRequest { ... }; private $mBlock = NULL; private $mBlockedFromCreateAccount = FALSE; protected $queryFlagsUsed = 0; private $mThisAsAuthority = class MediaWiki\Permissions\UserAuthority { ... }; private $isTemp = NULL }; private $onAccessCallback = [0 => class ParserOutput { ... }, 1 => 'recordOption']; private $redirectTarget = NULL; private $mExtraKey = '' }, $generateHtml = TRUE )	.../RenderedRevision.php:265
21	0.1111	2316888	ContentHandler->getParserOutput( $content = class WikitextContent { protected $model_id = 'wikitext'; protected $mText = 'This page contains the titles and abstracts for talks scheduled in the Spring 2018 semester. To go back to the main NTSGrad page, click [[NTSGrad_Spring_2018\|here.]]\n\n== Jan 23 ==\n\n<center>\n{\| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"\n\|-\n\| bgcolor="#F0A0A0" align="center" style="font-size:125%" \| \'\'\'Solly Parenti\'\'\'\n\|-\n\| bgcolor="#BCD2EE" align="center" \| \'\'Rankin-Selberg L-functions\'\'\n\|-\n\| bgcolor="#BCD2EE" \| \nWhat do you get when you cross an Ei'...; private $redirectTargetAndText = [0 => NULL, 1 => 'This page contains the titles and abstracts for talks scheduled in the Spring 2018 semester. To go back to the main NTSGrad page, click [[NTSGrad_Spring_2018\|here.]]\n\n== Jan 23 ==\n\n<center>\n{\| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"\n\|-\n\| bgcolor="#F0A0A0" align="center" style="font-size:125%" \| \'\'\'Solly Parenti\'\'\'\n\|-\n\| bgcolor="#BCD2EE" align="center" \| \'\'Rankin-Selberg L-functions\'\'\n\|-\n\| bgcolor="#BCD2EE" \| \nWhat do you get when you cross an Ei'...]; private $preSaveTransformFlags = [] }, $cpoParams = class MediaWiki\Content\Renderer\ContentParseParams { private $page = class Title { private $mTextform = 'NTSGrad Spring 2018/Abstracts'; private $mUrlform = 'NTSGrad_Spring_2018/Abstracts'; private $mDbkeyform = 'NTSGrad_Spring_2018/Abstracts'; private $mNamespace = 0; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 1383; protected $mLatestID = 15507; private $mContentModel = 'wikitext'; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'NTSGrad Spring 2018/Abstracts'; protected $mLength = 11180; public $mRedirect = FALSE; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = TRUE; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; private $revId = 15507; private $parserOptions = class ParserOptions { private $options = [...]; private $mTimestamp = NULL; private $mUser = class User { ... }; private $onAccessCallback = [...]; private $redirectTarget = NULL; private $mExtraKey = '' }; private $generateHtml = TRUE } )	.../ContentRenderer.php:47
22	0.1113	2318984	WikitextContentHandler->fillParserOutput( $content = class WikitextContent { protected $model_id = 'wikitext'; protected $mText = 'This page contains the titles and abstracts for talks scheduled in the Spring 2018 semester. To go back to the main NTSGrad page, click [[NTSGrad_Spring_2018\|here.]]\n\n== Jan 23 ==\n\n<center>\n{\| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"\n\|-\n\| bgcolor="#F0A0A0" align="center" style="font-size:125%" \| \'\'\'Solly Parenti\'\'\'\n\|-\n\| bgcolor="#BCD2EE" align="center" \| \'\'Rankin-Selberg L-functions\'\'\n\|-\n\| bgcolor="#BCD2EE" \| \nWhat do you get when you cross an Ei'...; private $redirectTargetAndText = [0 => NULL, 1 => 'This page contains the titles and abstracts for talks scheduled in the Spring 2018 semester. To go back to the main NTSGrad page, click [[NTSGrad_Spring_2018\|here.]]\n\n== Jan 23 ==\n\n<center>\n{\| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"\n\|-\n\| bgcolor="#F0A0A0" align="center" style="font-size:125%" \| \'\'\'Solly Parenti\'\'\'\n\|-\n\| bgcolor="#BCD2EE" align="center" \| \'\'Rankin-Selberg L-functions\'\'\n\|-\n\| bgcolor="#BCD2EE" \| \nWhat do you get when you cross an Ei'...]; private $preSaveTransformFlags = [] }, $cpoParams = class MediaWiki\Content\Renderer\ContentParseParams { private $page = class Title { private $mTextform = 'NTSGrad Spring 2018/Abstracts'; private $mUrlform = 'NTSGrad_Spring_2018/Abstracts'; private $mDbkeyform = 'NTSGrad_Spring_2018/Abstracts'; private $mNamespace = 0; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 1383; protected $mLatestID = 15507; private $mContentModel = 'wikitext'; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'NTSGrad Spring 2018/Abstracts'; protected $mLength = 11180; public $mRedirect = FALSE; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = TRUE; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; private $revId = 15507; private $parserOptions = class ParserOptions { private $options = [...]; private $mTimestamp = NULL; private $mUser = class User { ... }; private $onAccessCallback = [...]; private $redirectTarget = NULL; private $mExtraKey = '' }; private $generateHtml = TRUE }, $parserOutput = class ParserOutput { protected $mParseUsedOptions = []; protected $mCacheTime = ''; protected $mCacheExpiry = NULL; protected $mCacheRevisionId = NULL; private $mText = NULL; private $mLanguageLinks = []; private $mCategories = []; private $mIndicators = []; private $mTitleText = ''; private $mLinks = []; private $mLinksSpecial = []; private $mTemplates = []; private $mTemplateIds = []; private $mImages = []; private $mFileSearchOptions = []; private $mExternalLinks = []; private $mInterwikiLinks = []; private $mNewSection = FALSE; private $mHideNewSection = FALSE; private $mNoGallery = FALSE; private $mHeadItems = []; private $mModules = []; private $mModuleStyles = []; private $mJsConfigVars = []; private $mOutputHooks = []; private $mWarnings = []; private $mWarningMsgs = []; private $mSections = []; private $mProperties = []; private $mTOCHTML = ''; private $mTimestamp = NULL; private $mEnableOOUI = FALSE; private $mIndexSet = FALSE; private $mNoIndexSet = FALSE; private $mExtensionData = []; private $mLimitReportData = []; private $mLimitReportJSData = []; private $mCacheMessage = ''; private $mParseStartTime = []; private $mPreventClickjacking = FALSE; private $mExtraScriptSrcs = []; private $mExtraDefaultSrcs = []; private $mExtraStyleSrcs = []; private $mFlags = []; private $mSpeculativeRevId = NULL; private $speculativePageIdUsed = NULL; private $revisionTimestampUsed = NULL; private $revisionUsedSha1Base36 = NULL; private $mWrapperDivClasses = []; private $mMaxAdaptiveExpiry = INF } )	.../ContentHandler.php:1720
23	0.1113	2318984	Parser->parse( $text = 'This page contains the titles and abstracts for talks scheduled in the Spring 2018 semester. To go back to the main NTSGrad page, click [[NTSGrad_Spring_2018\|here.]]\n\n== Jan 23 ==\n\n<center>\n{\| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"\n\|-\n\| bgcolor="#F0A0A0" align="center" style="font-size:125%" \| \'\'\'Solly Parenti\'\'\'\n\|-\n\| bgcolor="#BCD2EE" align="center" \| \'\'Rankin-Selberg L-functions\'\'\n\|-\n\| bgcolor="#BCD2EE" \| \nWhat do you get when you cross an Ei'..., $page = class Title { private $mTextform = 'NTSGrad Spring 2018/Abstracts'; private $mUrlform = 'NTSGrad_Spring_2018/Abstracts'; private $mDbkeyform = 'NTSGrad_Spring_2018/Abstracts'; private $mNamespace = 0; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 1383; protected $mLatestID = 15507; private $mContentModel = 'wikitext'; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'NTSGrad Spring 2018/Abstracts'; protected $mLength = 11180; public $mRedirect = FALSE; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = TRUE; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = ['mTextform' => [...], 'mUrlform' => [...], 'mDbkeyform' => [...], 'mNamespace' => [...], 'mInterwiki' => [...], 'mFragment' => [...]]; private $dynamicPropertiesAccessDeprecated = FALSE }, $options = class ParserOptions { private $options = ['dateformat' => 'default', 'speculativeRevId' => NULL, 'speculativePageId' => NULL, 'interfaceMessage' => FALSE, 'targetLanguage' => NULL, 'removeComments' => TRUE, 'suppressTOC' => FALSE, 'enableLimitReport' => FALSE, 'preSaveTransform' => TRUE, 'isPreview' => FALSE, 'isSectionPreview' => FALSE, 'printable' => FALSE, 'allowUnsafeRawHtml' => TRUE, 'wrapclass' => 'mw-parser-output', 'currentRevisionRecordCallback' => class Closure { ... }, 'templateCallback' => [...], 'speculativeRevIdCallback' => class Closure { ... }, 'speculativePageIdCallback' => class Closure { ... }, 'interwikiMagic' => TRUE, 'allowExternalImages' => FALSE, 'allowExternalImagesFrom' => '', 'enableImageWhitelist' => FALSE, 'allowSpecialInclusion' => TRUE, 'maxIncludeSize' => 2097152, 'maxPPNodeCount' => 1000000, 'maxPPExpandDepth' => 100, 'maxTemplateDepth' => 100, 'expensiveParserFunctionLimit' => 100, 'externalLinkTarget' => FALSE, 'cleanSignatures' => TRUE, 'disableContentConversion' => FALSE, 'disableTitleConversion' => FALSE, 'magicISBNLinks' => FALSE, 'magicPMIDLinks' => FALSE, 'magicRFCLinks' => FALSE, 'thumbsize' => 5, 'userlang' => class LanguageEn { ... }]; private $mTimestamp = NULL; private $mUser = class User { public $mId = 0; public $mName = '18.206.13.203'; public $mActorId = NULL; public $mRealName = ''; public $mEmail = ''; public $mTouched = '1'; protected $mQuickTouched = NULL; protected $mToken = NULL; public $mEmailAuthenticated = NULL; protected $mEmailToken = ''; protected $mEmailTokenExpires = NULL; protected $mRegistration = '20231129054545'; protected $mLoadedItems = TRUE; public $mFrom = 'session'; protected $mDatePreference = 'default'; private $mBlockedby = -1; protected $mHash = FALSE; protected $mBlockreason = NULL; protected $mGlobalBlock = NULL; protected $mLocked = NULL; private $mHideName = NULL; private $mRequest = class WebRequest { ... }; private $mBlock = NULL; private $mBlockedFromCreateAccount = FALSE; protected $queryFlagsUsed = 0; private $mThisAsAuthority = class MediaWiki\Permissions\UserAuthority { ... }; private $isTemp = NULL }; private $onAccessCallback = [0 => class ParserOutput { ... }, 1 => 'recordOption']; private $redirectTarget = NULL; private $mExtraKey = '' }, $linestart = TRUE, $clearState = TRUE, $revid = 15507 )	.../WikitextContentHandler.php:301
24	0.1114	2326256	Parser->internalParse( $text = 'This page contains the titles and abstracts for talks scheduled in the Spring 2018 semester. To go back to the main NTSGrad page, click [[NTSGrad_Spring_2018\|here.]]\n\n== Jan 23 ==\n\n<center>\n{\| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"\n\|-\n\| bgcolor="#F0A0A0" align="center" style="font-size:125%" \| \'\'\'Solly Parenti\'\'\'\n\|-\n\| bgcolor="#BCD2EE" align="center" \| \'\'Rankin-Selberg L-functions\'\'\n\|-\n\| bgcolor="#BCD2EE" \| \nWhat do you get when you cross an Ei'..., $isMain = ???, $frame = ??? )	.../Parser.php:724
25	0.1114	2326288	Parser->replaceVariables( $text = 'This page contains the titles and abstracts for talks scheduled in the Spring 2018 semester. To go back to the main NTSGrad page, click [[NTSGrad_Spring_2018\|here.]]\n\n== Jan 23 ==\n\n<center>\n{\| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"\n\|-\n\| bgcolor="#F0A0A0" align="center" style="font-size:125%" \| \'\'\'Solly Parenti\'\'\'\n\|-\n\| bgcolor="#BCD2EE" align="center" \| \'\'Rankin-Selberg L-functions\'\'\n\|-\n\| bgcolor="#BCD2EE" \| \nWhat do you get when you cross an Ei'..., $frame = ???, $argsOnly = ??? )	.../Parser.php:1610
26	0.1145	2414408	PPFrame_Hash->expand( $root = class PPNode_Hash_Tree { public $name = 'root'; private $rawChildren = [0 => 'This page contains the titles and abstracts for talks scheduled in the Spring 2018 semester. To go back to the main NTSGrad page, click ', 1 => '[[NTSGrad_Spring_2018\|here.]]\n\n', 2 => [...], 3 => '\n\n<center>\n{\| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"\n\|-\n\| bgcolor="#F0A0A0" align="center" style="font-size:125%" \| \'\'\'Solly Parenti\'\'\'\n\|-\n\| bgcolor="#BCD2EE" align="center" \| \'\'Rankin-Selberg L-functions\'\'\n\|-\n\| bgcolor="#BCD2EE" \| \nWhat do you get when you cross an Eisenstein series with a cuspform? An L-function! Since there\'s no modular forms course this semester, I will try to squeeze in an entire semester\'s course on modular forms during t'..., 4 => [...], 5 => '\n\n<center>\n{\| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"\n\|-\n\| bgcolor="#F0A0A0" align="center" style="font-size:125%" \| \'\'\'Wanlin Li\'\'\'\n\|-\n\| bgcolor="#BCD2EE" align="center" \| \'\'Intersection Theory on Modular Curves\'\'\n\|-\n\| bgcolor="#BCD2EE" \| \nMy talk is based on the paper by François Charles with title "FROBENIUS DISTRIBUTION FOR PAIRS OF ELLIPTIC CURVES AND EXCEPTIONAL ISOGENIES". I will talk about the main theorem and give some intuition and he'..., 6 => [...], 7 => '\n\n<center>\n{\| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"\n\|-\n\| bgcolor="#F0A0A0" align="center" style="font-size:125%" \| \'\'\'Dongxi Ye\'\'\'\n\|-\n\| bgcolor="#BCD2EE" align="center" \| \'\'Modular Forms, Borcherds Lifting and Gross-Zagier Type CM Value Formulas\'\'\n\|-\n\| bgcolor="#BCD2EE" \| \nDuring the course of past decades, modular forms and Borcherds lifting have been playing an increasingly central role in number theory. In this talk, I will partially justif'..., 8 => [...], 9 => '\n\n<center>\n{\| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"\n\|-\n\| bgcolor="#F0A0A0" align="center" style="font-size:125%" \| \'\'\'Ewan Dalby\'\'\'\n\|-\n\| bgcolor="#BCD2EE" align="center" \| \'\'The Cuspidal Rational Torsion Subgroup of J_0(p)\'\'\n\|-\n\| bgcolor="#BCD2EE" \| \n\nI will define the cuspidal rational torsion subgroup for the Jacobian of the modular curve J_0(N) and try to convince you that in the case of J_0(p) it is cyclic of order (p-1)/gcd(p-1,12).\n\n\|} '..., 10 => [...], 11 => '\n\n<center>\n{\| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"\n\|-\n\| bgcolor="#F0A0A0" align="center" style="font-size:125%" \| \'\'\'Brandon Alberts\'\'\'\n\|-\n\| bgcolor="#BCD2EE" align="center" \| \'\'A Brief Introduction to Iwasawa Theory\'\'\n\|-\n\| bgcolor="#BCD2EE" \| \n\nA bare bones introduction to the subject of Iwasawa theory, its main results, and some of the tools used to prove them. This talk will serve as both a small taste of the subject and a prep talk for th'..., 12 => [...], 13 => '\n\n<center>\n{\| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"\n\|-\n\| bgcolor="#F0A0A0" align="center" style="font-size:125%" \| \'\'\'Solly Parenti\'\'\'\n\|-\n\| bgcolor="#BCD2EE" align="center" \| \'\'Do You Even Lift?\'\'\n\|-\n\| bgcolor="#BCD2EE" \| \n\nTheta series are generating functions of the number of ways integers can be represented by quadratic forms. Using theta series, we will construct the theta lift as a way to transfer modular(ish) forms between groups.\n\n\|} '..., 14 => [...], 15 => '\n\n<center>\n{\| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"\n\|-\n\| bgcolor="#F0A0A0" align="center" style="font-size:125%" \| \'\'\'Soumya Sankar\'\'\'\n\|-\n\| bgcolor="#BCD2EE" align="center" \| \'\'Finite Hypergeometric Functions: An Introduction\'\'\n\|-\n\| bgcolor="#BCD2EE" \| Finite Hypergeometric functions are finite field analogues of classical hypergeometric functions that come up in analysis. I will define these and talk about some ways in which they are useful in '..., 16 => [...], 17 => '\n\n<center>\n{\| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"\n\|-\n\| bgcolor="#F0A0A0" align="center" style="font-size:125%" \| \'\'\'Brandon Alberts\'\'\'\n\|-\n\| bgcolor="#BCD2EE" align="center" \| \'\'Certain Unramified Metabelian Extensions Using Lemmermeyer Factorizations\'\'\n\|-\n\| bgcolor="#BCD2EE" \| \nWe use conditions on the discriminant of an abelian extension ', 18 => [...], 19 => ' to classify unramified extensions ', 20 => [...], 21 => ' normal over ', 22 => [...], 23 => ' where the (nontrivial) commutator subgroup of ', 24 => [...], 25 => ' is contained in its center. This generalizes a result due to Lemmermeyer stating that the quadratic field of discriminant ', 26 => [...], 27 => ', ', 28 => [...], 29 => ', has an unramified extension ', 30 => [...], 31 => ' normal over ', 32 => [...], 33 => ' with ', 34 => [...], 35 => ' (the quaternion group) if and only if the discriminant factors ', 36 => [...], 37 => ' into a product of three coprime discriminants, at most one of which is negative, satisfying ', 38 => [...], 39 => ' for each choice of ', 40 => [...], 41 => ' and prime ', 42 => [...], 43 => '.\n\n\|} \n</center>\n\n<br>\n\n', 44 => [...], 45 => '\n\n<center>\n{\| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"\n\|-\n\| bgcolor="#F0A0A0" align="center" style="font-size:125%" \| \'\'\'Niudun Wang\'\'\'\n\|-\n\| bgcolor="#BCD2EE" align="center" \| \'\'Nodal Domains of Maass Forms \'\'\n\|-\n\| bgcolor="#BCD2EE" \| \nHecke-Maass cusp forms on modular surfaces produce nodal lines that divide the surface into disjoint nodal domains. I will briefly talk about this process and estimate the number of nodal domains as the eigenvalues v'..., 46 => [...], 47 => '\n\n<center>\n{\| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"\n\|-\n\| bgcolor="#F0A0A0" align="center" style="font-size:125%" \| \'\'\'Qiao He\'\'\'\n\|-\n\| bgcolor="#BCD2EE" align="center" \| \'\'An Introduction to Automorphic Representations\'\'\n\|-\n\| bgcolor="#BCD2EE" \| \n\nAutomorphic representation is a powerful tool to study L-functions. For me, Tate\'s marvelous thesis is the real beginning of the whole theory. So I will start with Tate\'s thesis, which is really the aut'..., 48 => [...], 49 => '. Then I will talk about how to generalize Tate\'s idea to higher dimensions and explain some ideas behind Langlands program. If there is still time left, I will also mention the trace formula and use it to prove the classical Poisson summation formula. \n\n\|} \n</center>\n\n<br>\n\n\n', 50 => [...], 51 => '\n\n<center>\n{\| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"\n\|-\n\| bgcolor="#F0A0A0" align="center" style="font-size:125%" \| \'\'\'Iván Ongay Valverde\'\'\'\n\|-\n\| bgcolor="#BCD2EE" align="center" \| \'\'Definability of Frobenius Orbits and a Result on Rational Distance Sets\'\'\n\|-\n\| bgcolor="#BCD2EE" \| \n\nIn this talk I will present a paper by Héctor Pastén. We will talk about the meaning of definability in a ring and how having a formula that identifies Frobenius '..., 52 => [...], 53 => '\n\n<center>\n{\| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"\n\|-\n\| bgcolor="#F0A0A0" align="center" style="font-size:125%" \| \'\'\'Brandon Boggess\'\'\'\n\|-\n\| bgcolor="#BCD2EE" align="center" \| \'\'Moving from Local to Global\'\'\n\|-\n\| bgcolor="#BCD2EE" \| \n\nWhat do problems over local fields tell us about global problems?\n\|} \n</center>\n\n<br>\n\n', 54 => [...], 55 => '\n\n<center>\n{\| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"\n\|-\n\| bgcolor="#F0A0A0" align="center" style="font-size:125%" \| \'\'\'Qiao He\'\'\'\n\|-\n\| bgcolor="#BCD2EE" align="center" \| \'\'An Introduction to Automorphic Representations - Part II\'\'\n\|-\n\| bgcolor="#BCD2EE" \| \n\nLast time I talked about Tate\'s thesis, which is actually the theory of automorphic representation of GL_1. This time I will continue. First, I will give the definition of automorphic represen'..., 56 => [...], 57 => '\n\n<center>\n{\| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"\n\|-\n\| bgcolor="#F0A0A0" align="center" style="font-size:125%" \| \'\'\'Sun Woo Park\'\'\'\n\|-\n\| bgcolor="#BCD2EE" align="center" \| \'\'Parametrization of elliptic curves by Shimura curves\'\'\n\|-\n\| bgcolor="#BCD2EE" \| \n\nLet f be a weight-2 newform on ', 58 => [...], 59 => '. Given a fixed isogeny class of semistable elliptic curves over ', 60 => [...], 61 => ', for some ', 62 => [...], 63 => ' there exists a distinguished element ', 64 => [...], 65 => ' of the isogeny class such that ', 66 => [...], 67 => ' is the strong modular curve attached to f. In fact, ', 68 => [...], 69 => ' is a quotient of ', 70 => [...], 71 => ' by an abelian variety, from which we can obtain a covering map ', 72 => [...], 73 => '. Based on Ribet and Takahashi’s paper, I will discuss the properties of the covering map as well as its generalization to Shimura curves.\n\n\|} \n</center>\n\n<br>']; private $store = [0 => [...]]; private $index = 0 }, $flags = 0 )	.../Parser.php:2955
27	0.1147	2427328	Parser->extensionSubstitution( $params = ['name' => class PPNode_Hash_Tree { public $name = 'name'; private $rawChildren = [...]; private $store = [...]; private $index = 0 }, 'attr' => class PPNode_Hash_Tree { public $name = 'attr'; private $rawChildren = [...]; private $store = [...]; private $index = 1 }, 'inner' => class PPNode_Hash_Tree { public $name = 'inner'; private $rawChildren = [...]; private $store = [...]; private $index = 2 }, 'close' => class PPNode_Hash_Tree { public $name = 'close'; private $rawChildren = [...]; private $store = [...]; private $index = 3 }], $frame = class PPFrame_Hash { public $parser = class Parser { private $mTagHooks = [...]; private $mFunctionHooks = [...]; private $mFunctionSynonyms = [...]; private $mStripList = [...]; private $mVarCache = [...]; private $mImageParams = [...]; private $mImageParamsMagicArray = [...]; public $mMarkerIndex = 1; private $mVariables = class MagicWordArray { ... }; private $mSubstWords = class MagicWordArray { ... }; private $mExtLinkBracketedRegex = '/\\[(((?i)bitcoin\\:\|ftp\\:\\/\\/\|ftps\\:\\/\\/\|geo\\:\|git\\:\\/\\/\|gopher\\:\\/\\/\|http\\:\\/\\/\|https\\:\\/\\/\|irc\\:\\/\\/\|ircs\\:\\/\\/\|magnet\\:\|mailto\\:\|matrix\\:\|mms\\:\\/\\/\|news\\:\|nntp\\:\\/\\/\|redis\\:\\/\\/\|sftp\\:\\/\\/\|sip\\:\|sips\\:\|sms\\:\|ssh\\:\\/\\/\|svn\\:\\/\\/\|tel\\:\|telnet\\:\\/\\/\|urn\\:\|worldwind\\:\\/\\/\|xmpp\\:\|\\/\\/)(?:[0-9.]+\|\\[(?i:[0-9a-f:.]+)\\]\|[^][<>"\\x00-\\x20\\x7F\\p{Zs}\\x{FFFD}])[^][<>"\\x00-\\x20\\x7F\\p{Zs}\\x{FFFD}])\\p{Zs}([^\\]\\x00-\\x08\\x0a-\\x1F\\x{FFFD}]*?)\\]/Su'; private $urlUtils = class MediaWiki\Utils\UrlUtils { ... }; private $mPreprocessor = class Preprocessor_Hash { ... }; private $mOutput = class ParserOutput { ... }; private $mAutonumber = 0; private $mStripState = class StripState { ... }; private $mLinkHolders = class LinkHolderArray { ... }; private $mLinkID = 0; private $mIncludeSizes = [...]; public $mPPNodeCount = 12; public $mHighestExpansionDepth = 2; private $mTplRedirCache = [...]; public $mHeadings = [...]; private $mDoubleUnderscores = [...]; public $mExpensiveFunctionCount = 0; private $mShowToc = TRUE; private $mForceTocPosition = FALSE; private $mTplDomCache = [...]; private $mUser = NULL; public $mOptions = class ParserOptions { ... }; public $mTitle = class Title { ... }; private $mOutputType = 1; public $ot = [...]; private $mRevisionId = 15507; private $mRevisionTimestamp = NULL; private $mRevisionUser = NULL; private $mRevisionSize = NULL; private $mInputSize = 11180; private $mRevisionRecordObject = NULL; private $mLangLinkLanguages = [...]; private $currentRevisionCache = NULL; private $mInParse = '#0 /var/www/wiki_mediawiki-1.39.3/includes/parser/Parser.php(699): Parser->lock()\n#1 /var/www/wiki_mediawiki-1.39.3/includes/content/WikitextContentHandler.php(301): Parser->parse()\n#2 /var/www/wiki_mediawiki-1.39.3/includes/content/ContentHandler.php(1720): WikitextContentHandler->fillParserOutput()\n#3 /var/www/wiki_mediawiki-1.39.3/includes/content/Renderer/ContentRenderer.php(47): ContentHandler->getParserOutput()\n#4 /var/www/wiki_mediawiki-1.39.3/includes/Revision/RenderedRevision.php(265): MediaWiki\\Co'...; private $mProfiler = class SectionProfiler { ... }; private $mLinkRenderer = NULL; private $magicWordFactory = class MagicWordFactory { ... }; private $contLang = class LanguageEn { ... }; private $languageConverterFactory = class MediaWiki\Languages\LanguageConverterFactory { ... }; private $factory = class ParserFactory { ... }; private $specialPageFactory = class MediaWiki\SpecialPage\SpecialPageFactory { ... }; private $titleFormatter = class MediaWikiTitleCodec { ... }; private $svcOptions = class MediaWiki\Config\ServiceOptions { ... }; private $linkRendererFactory = class MediaWiki\Linker\LinkRendererFactory { ... }; private $nsInfo = class NamespaceInfo { ... }; private $logger = class MediaWiki\Logger\LegacyLogger { ... }; private $badFileLookup = class MediaWiki\BadFileLookup { ... }; private $hookContainer = class MediaWiki\HookContainer\HookContainer { ... }; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... }; private $tidy = class MediaWiki\Tidy\RemexDriver { ... }; private $userOptionsLookup = class MediaWiki\User\UserOptionsManager { ... }; private $userFactory = class MediaWiki\User\UserFactory { ... }; private $httpRequestFactory = class MediaWiki\Http\HttpRequestFactory { ... }; private $trackingCategories = class TrackingCategories { ... }; private $signatureValidatorFactory = class MediaWiki\Preferences\SignatureValidatorFactory { ... }; private $userNameUtils = class MediaWiki\User\UserNameUtils { ... }; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; public $preprocessor = class Preprocessor_Hash { public $parser = class Parser { ... }; protected $wanCache = class WANObjectCache { ... }; protected $disableLangConversion = FALSE; protected $rules = [...]; protected $cacheThreshold = 1000 }; public $title = class Title { private $mTextform = 'NTSGrad Spring 2018/Abstracts'; private $mUrlform = 'NTSGrad_Spring_2018/Abstracts'; private $mDbkeyform = 'NTSGrad_Spring_2018/Abstracts'; private $mNamespace = 0; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 1383; protected $mLatestID = 15507; private $mContentModel = 'wikitext'; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'NTSGrad Spring 2018/Abstracts'; protected $mLength = 11180; public $mRedirect = FALSE; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = TRUE; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; public $titleCache = [0 => 'NTSGrad_Spring_2018/Abstracts']; public $loopCheckHash = []; public $depth = 0; private $volatile = FALSE; private $ttl = NULL; protected $childExpansionCache = []; private $maxPPNodeCount = 1000000; private $maxPPExpandDepth = 100 }, $processNowiki = FALSE )	.../PPFrame_Hash.php:353
28	0.1148	2427832	SimpleMathJaxHooks::renderMath( $tex = 'K/\\mathbb{Q}', $args = [], $parser = class Parser { private $mTagHooks = ['pre' => [...], 'nowiki' => [...], 'gallery' => [...], 'indicator' => [...], 'langconvert' => [...], 'math' => 'SimpleMathJaxHooks::renderMath', 'chem' => 'SimpleMathJaxHooks::renderChem', 'source' => [...], 'syntaxhighlight' => [...], 'ref' => [...], 'references' => [...]]; private $mFunctionHooks = ['ns' => [...], 'nse' => [...], 'urlencode' => [...], 'lcfirst' => [...], 'ucfirst' => [...], 'lc' => [...], 'uc' => [...], 'localurl' => [...], 'localurle' => [...], 'fullurl' => [...], 'fullurle' => [...], 'canonicalurl' => [...], 'canonicalurle' => [...], 'formatnum' => [...], 'grammar' => [...], 'gender' => [...], 'plural' => [...], 'bidi' => [...], 'numberofpages' => [...], 'numberofusers' => [...], 'numberofactiveusers' => [...], 'numberofarticles' => [...], 'numberoffiles' => [...], 'numberofadmins' => [...], 'numberingroup' => [...], 'numberofedits' => [...], 'language' => [...], 'padleft' => [...], 'padright' => [...], 'anchorencode' => [...], 'defaultsort' => [...], 'filepath' => [...], 'pagesincategory' => [...], 'pagesize' => [...], 'protectionlevel' => [...], 'protectionexpiry' => [...], 'namespace' => [...], 'namespacee' => [...], 'namespacenumber' => [...], 'talkspace' => [...], 'talkspacee' => [...], 'subjectspace' => [...], 'subjectspacee' => [...], 'pagename' => [...], 'pagenamee' => [...], 'fullpagename' => [...], 'fullpagenamee' => [...], 'rootpagename' => [...], 'rootpagenamee' => [...], 'basepagename' => [...], 'basepagenamee' => [...], 'subpagename' => [...], 'subpagenamee' => [...], 'talkpagename' => [...], 'talkpagenamee' => [...], 'subjectpagename' => [...], 'subjectpagenamee' => [...], 'pageid' => [...], 'revisionid' => [...], 'revisionday' => [...], 'revisionday2' => [...], 'revisionmonth' => [...], 'revisionmonth1' => [...], 'revisionyear' => [...], 'revisiontimestamp' => [...], 'revisionuser' => [...], 'cascadingsources' => [...], 'int' => [...], 'special' => [...], 'speciale' => [...], 'tag' => [...], 'formatdate' => [...], 'displaytitle' => [...]]; private $mFunctionSynonyms = [0 => [...], 1 => [...]]; private $mStripList = [0 => 'pre', 1 => 'nowiki', 2 => 'gallery', 3 => 'indicator', 4 => 'langconvert', 5 => 'math', 6 => 'chem', 7 => 'source', 8 => 'syntaxhighlight', 9 => 'ref', 10 => 'references']; private $mVarCache = []; private $mImageParams = []; private $mImageParamsMagicArray = []; public $mMarkerIndex = 1; private $mVariables = class MagicWordArray { public $names = [...]; private $factory = class MagicWordFactory { ... }; private $hash = [...]; private $baseRegex = NULL; private $regex = NULL }; private $mSubstWords = class MagicWordArray { public $names = [...]; private $factory = class MagicWordFactory { ... }; private $hash = NULL; private $baseRegex = [...]; private $regex = NULL }; private $mExtLinkBracketedRegex = '/\\[(((?i)bitcoin\\:\|ftp\\:\\/\\/\|ftps\\:\\/\\/\|geo\\:\|git\\:\\/\\/\|gopher\\:\\/\\/\|http\\:\\/\\/\|https\\:\\/\\/\|irc\\:\\/\\/\|ircs\\:\\/\\/\|magnet\\:\|mailto\\:\|matrix\\:\|mms\\:\\/\\/\|news\\:\|nntp\\:\\/\\/\|redis\\:\\/\\/\|sftp\\:\\/\\/\|sip\\:\|sips\\:\|sms\\:\|ssh\\:\\/\\/\|svn\\:\\/\\/\|tel\\:\|telnet\\:\\/\\/\|urn\\:\|worldwind\\:\\/\\/\|xmpp\\:\|\\/\\/)(?:[0-9.]+\|\\[(?i:[0-9a-f:.]+)\\]\|[^][<>"\\x00-\\x20\\x7F\\p{Zs}\\x{FFFD}])[^][<>"\\x00-\\x20\\x7F\\p{Zs}\\x{FFFD}])\\p{Zs}([^\\]\\x00-\\x08\\x0a-\\x1F\\x{FFFD}]?)\\]/Su'; private $urlUtils = class MediaWiki\Utils\UrlUtils { private $server = 'https://wiki.math.wisc.edu'; private $canonicalServer = 'https://wiki.math.wisc.edu'; private $internalServer = 'https://wiki.math.wisc.edu'; private $fallbackProtocol = 'http'; private $httpsPort = 443; private $validProtocols = [...]; private $validProtocolsCache = 'bitcoin\\:\|ftp\\:\\/\\/\|ftps\\:\\/\\/\|geo\\:\|git\\:\\/\\/\|gopher\\:\\/\\/\|http\\:\\/\\/\|https\\:\\/\\/\|irc\\:\\/\\/\|ircs\\:\\/\\/\|magnet\\:\|mailto\\:\|matrix\\:\|mms\\:\\/\\/\|news\\:\|nntp\\:\\/\\/\|redis\\:\\/\\/\|sftp\\:\\/\\/\|sip\\:\|sips\\:\|sms\\:\|ssh\\:\\/\\/\|svn\\:\\/\\/\|tel\\:\|telnet\\:\\/\\/\|urn\\:\|worldwind\\:\\/\\/\|xmpp\\:\|\\/\\/'; private $validAbsoluteProtocolsCache = NULL }; private $mPreprocessor = class Preprocessor_Hash { public $parser = ...; protected $wanCache = class WANObjectCache { ... }; protected $disableLangConversion = FALSE; protected $rules = [...]; protected $cacheThreshold = 1000 }; private $mOutput = class ParserOutput { protected $mParseUsedOptions = [...]; protected $mCacheTime = ''; protected $mCacheExpiry = NULL; protected $mCacheRevisionId = NULL; private $mText = NULL; private $mLanguageLinks = [...]; private $mCategories = [...]; private $mIndicators = [...]; private $mTitleText = ''; private $mLinks = [...]; private $mLinksSpecial = [...]; private $mTemplates = [...]; private $mTemplateIds = [...]; private $mImages = [...]; private $mFileSearchOptions = [...]; private $mExternalLinks = [...]; private $mInterwikiLinks = [...]; private $mNewSection = FALSE; private $mHideNewSection = FALSE; private $mNoGallery = FALSE; private $mHeadItems = [...]; private $mModules = [...]; private $mModuleStyles = [...]; private $mJsConfigVars = [...]; private $mOutputHooks = [...]; private $mWarnings = [...]; private $mWarningMsgs = [...]; private $mSections = [...]; private $mProperties = [...]; private $mTOCHTML = ''; private $mTimestamp = NULL; private $mEnableOOUI = FALSE; private $mIndexSet = FALSE; private $mNoIndexSet = FALSE; private $mExtensionData = [...]; private $mLimitReportData = [...]; private $mLimitReportJSData = [...]; private $mCacheMessage = ''; private $mParseStartTime = [...]; private $mPreventClickjacking = FALSE; private $mExtraScriptSrcs = [...]; private $mExtraDefaultSrcs = [...]; private $mExtraStyleSrcs = [...]; private $mFlags = [...]; private $mSpeculativeRevId = NULL; private $speculativePageIdUsed = NULL; private $revisionTimestampUsed = NULL; private $revisionUsedSha1Base36 = NULL; private $mWrapperDivClasses = [...]; private $mMaxAdaptiveExpiry = INF }; private $mAutonumber = 0; private $mStripState = class StripState { protected $data = [...]; protected $regex = '/\'"`UNIQ-([^<>&\'"]+)-QINU`"\'/'; protected $parser = ...; protected $circularRefGuard = [...]; protected $depth = 0; protected $highestDepth = 0; protected $expandSize = 0; protected $depthLimit = 20; protected $sizeLimit = 5000000 }; private $mLinkHolders = class LinkHolderArray { public $internals = [...]; public $interwikis = [...]; public $size = 0; public $parent = ...; private $languageConverter = class TrivialLanguageConverter { ... }; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... } }; private $mLinkID = 0; private $mIncludeSizes = ['post-expand' => 0, 'arg' => 0]; public $mPPNodeCount = 12; public $mHighestExpansionDepth = 2; private $mTplRedirCache = []; public $mHeadings = [0 => [...], 1 => [...], 2 => [...], 3 => [...], 4 => [...], 5 => [...], 6 => [...], 7 => [...]]; private $mDoubleUnderscores = []; public $mExpensiveFunctionCount = 0; private $mShowToc = TRUE; private $mForceTocPosition = FALSE; private $mTplDomCache = []; private $mUser = NULL; public $mOptions = class ParserOptions { private $options = [...]; private $mTimestamp = NULL; private $mUser = class User { ... }; private $onAccessCallback = [...]; private $redirectTarget = NULL; private $mExtraKey = '' }; public $mTitle = class Title { private $mTextform = 'NTSGrad Spring 2018/Abstracts'; private $mUrlform = 'NTSGrad_Spring_2018/Abstracts'; private $mDbkeyform = 'NTSGrad_Spring_2018/Abstracts'; private $mNamespace = 0; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 1383; protected $mLatestID = 15507; private $mContentModel = 'wikitext'; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'NTSGrad Spring 2018/Abstracts'; protected $mLength = 11180; public $mRedirect = FALSE; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = TRUE; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; private $mOutputType = 1; public $ot = ['html' => TRUE, 'wiki' => FALSE, 'pre' => FALSE, 'plain' => FALSE]; private $mRevisionId = 15507; private $mRevisionTimestamp = NULL; private $mRevisionUser = NULL; private $mRevisionSize = NULL; private $mInputSize = 11180; private $mRevisionRecordObject = NULL; private $mLangLinkLanguages = []; private $currentRevisionCache = NULL; private $mInParse = '#0 /var/www/wiki_mediawiki-1.39.3/includes/parser/Parser.php(699): Parser->lock()\n#1 /var/www/wiki_mediawiki-1.39.3/includes/content/WikitextContentHandler.php(301): Parser->parse()\n#2 /var/www/wiki_mediawiki-1.39.3/includes/content/ContentHandler.php(1720): WikitextContentHandler->fillParserOutput()\n#3 /var/www/wiki_mediawiki-1.39.3/includes/content/Renderer/ContentRenderer.php(47): ContentHandler->getParserOutput()\n#4 /var/www/wiki_mediawiki-1.39.3/includes/Revision/RenderedRevision.php(265): MediaWiki\\Co'...; private $mProfiler = class SectionProfiler { protected $start = NULL; protected $end = NULL; protected $stack = [...]; protected $workStack = [...]; protected $collated = [...]; protected $collateDone = FALSE; protected $errorEntry = [...]; protected $logger = class MediaWiki\Logger\LegacyLogger { ... } }; private $mLinkRenderer = NULL; private $magicWordFactory = class MagicWordFactory { private $mVariableIDsInitialised = TRUE; private $mVariableIDs = [...]; private $mCacheTTLs = [...]; private $mDoubleUnderscoreIDs = [...]; private $mSubstIDs = [...]; private $mObjects = [...]; private $mDoubleUnderscoreArray = NULL; private $contLang = class LanguageEn { ... }; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... } }; private $contLang = class LanguageEn { public $mCode = 'en'; public $mMagicExtensions = [...]; private ${Language}mHtmlCode = NULL; public $dateFormatStrings = [...]; public $mExtendedSpecialPageAliases = NULL; protected $namespaceNames = [...]; protected $mNamespaceIds = NULL; protected $namespaceAliases = NULL; private ${Language}transformData = [...]; private ${Language}namespaceInfo = class NamespaceInfo { ... }; private ${Language}localisationCache = class LocalisationCache { ... }; private ${Language}langNameUtils = class MediaWiki\Languages\LanguageNameUtils { ... }; private ${Language}langFallback = class MediaWiki\Languages\LanguageFallback { ... }; private ${Language}grammarTransformCache = NULL; private ${Language}converterFactory = class MediaWiki\Languages\LanguageConverterFactory { ... }; private ${Language}hookContainer = class MediaWiki\HookContainer\HookContainer { ... }; private ${Language}hookRunner = class MediaWiki\HookContainer\HookRunner { ... }; private ${Language}config = class GlobalVarConfig { ... } }; private $languageConverterFactory = class MediaWiki\Languages\LanguageConverterFactory { private $cache = [...]; private $converterList = [...]; private $objectFactory = class Wikimedia\ObjectFactory\ObjectFactory { ... }; private $isConversionDisabled = FALSE; private $isTitleConversionDisabled = FALSE; private $defaultLanguage = class Closure { ... } }; private $factory = class ParserFactory { private $svcOptions = class MediaWiki\Config\ServiceOptions { ... }; private $magicWordFactory = class MagicWordFactory { ... }; private $contLang = class LanguageEn { ... }; private $urlUtils = class MediaWiki\Utils\UrlUtils { ... }; private $specialPageFactory = class MediaWiki\SpecialPage\SpecialPageFactory { ... }; private $linkRendererFactory = class MediaWiki\Linker\LinkRendererFactory { ... }; private $nsInfo = class NamespaceInfo { ... }; private $logger = class MediaWiki\Logger\LegacyLogger { ... }; private $badFileLookup = class MediaWiki\BadFileLookup { ... }; private $languageConverterFactory = class MediaWiki\Languages\LanguageConverterFactory { ... }; private $userOptionsLookup = class MediaWiki\User\UserOptionsManager { ... }; private $userFactory = class MediaWiki\User\UserFactory { ... }; private $titleFormatter = class MediaWikiTitleCodec { ... }; private $httpRequestFactory = class MediaWiki\Http\HttpRequestFactory { ... }; private $trackingCategories = class TrackingCategories { ... }; private $signatureValidatorFactory = class MediaWiki\Preferences\SignatureValidatorFactory { ... }; private $userNameUtils = class MediaWiki\User\UserNameUtils { ... }; private $hookContainer = class MediaWiki\HookContainer\HookContainer { ... }; private $tidy = class MediaWiki\Tidy\RemexDriver { ... }; private $wanCache = class WANObjectCache { ... }; private $mainInstance = ... }; private $specialPageFactory = class MediaWiki\SpecialPage\SpecialPageFactory { private $list = NULL; private $aliases = NULL; private $options = class MediaWiki\Config\ServiceOptions { ... }; private $contLang = class LanguageEn { ... }; private $objectFactory = class Wikimedia\ObjectFactory\ObjectFactory { ... }; private $hookContainer = class MediaWiki\HookContainer\HookContainer { ... }; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... }; private $titleFactory = class TitleFactory { ... } }; private $titleFormatter = class MediaWikiTitleCodec { protected $language = class LanguageEn { ... }; protected $genderCache = class GenderCache { ... }; protected $localInterwikis = [...]; protected $interwikiLookup = class MediaWiki\Interwiki\ClassicInterwikiLookup { ... }; protected $nsInfo = class NamespaceInfo { ... }; private $createMalformedTitleException = class Closure { ... } }; private $svcOptions = class MediaWiki\Config\ServiceOptions { private $keys = [...]; private $options = [...] }; private $linkRendererFactory = class MediaWiki\Linker\LinkRendererFactory { private $titleFormatter = class MediaWikiTitleCodec { ... }; private $linkCache = class LinkCache { ... }; private $hookContainer = class MediaWiki\HookContainer\HookContainer { ... }; private $specialPageFactory = class MediaWiki\SpecialPage\SpecialPageFactory { ... } }; private $nsInfo = class NamespaceInfo { private $alwaysCapitalizedNamespaces = [...]; private $canonicalNamespaces = [...]; private $namespaceIndexes = FALSE; private $validNamespaces = [...]; private $options = class MediaWiki\Config\ServiceOptions { ... }; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... } }; private $logger = class MediaWiki\Logger\LegacyLogger { protected $channel = 'Parser'; private $minimumLevel = 999; private $isDB = FALSE }; private $badFileLookup = class MediaWiki\BadFileLookup { private $listCallback = class Closure { ... }; private $cache = class EmptyBagOStuff { ... }; private $repoGroup = class RepoGroup { ... }; private $titleParser = class MediaWikiTitleCodec { ... }; private $badFiles = NULL; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... } }; private $hookContainer = class MediaWiki\HookContainer\HookContainer { private $dynamicHandlers = [...]; private $tombstones = [...]; private $handlersByName = [...]; private $registry = class MediaWiki\HookContainer\GlobalHookRegistry { ... }; private $objectFactory = class Wikimedia\ObjectFactory\ObjectFactory { ... }; private $nextScopedRegisterId = 0 }; private $hookRunner = class MediaWiki\HookContainer\HookRunner { private $container = class MediaWiki\HookContainer\HookContainer { ... } }; private $tidy = class MediaWiki\Tidy\RemexDriver { protected $config = [...]; private $treeMutationTrace = FALSE; private $serializerTrace = FALSE; private $mungerTrace = FALSE; private $pwrap = TRUE; private $enableLegacyMediaDOM = TRUE }; private $userOptionsLookup = class MediaWiki\User\UserOptionsManager { private $serviceOptions = class MediaWiki\Config\ServiceOptions { ... }; private $defaultOptionsLookup = class MediaWiki\User\DefaultOptionsLookup { ... }; private $languageConverterFactory = class MediaWiki\Languages\LanguageConverterFactory { ... }; private $loadBalancer = class Wikimedia\Rdbms\LoadBalancer { ... }; private $userFactory = class MediaWiki\User\UserFactory { ... }; private $logger = class MediaWiki\Logger\LegacyLogger { ... }; private $modifiedOptions = [...]; private $originalOptionsCache = [...]; private $optionsFromDb = [...]; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... }; private $queryFlagsUsedForCaching = [...] }; private $userFactory = class MediaWiki\User\UserFactory { private $loadBalancer = class Wikimedia\Rdbms\LoadBalancer { ... }; private $userNameUtils = class MediaWiki\User\UserNameUtils { ... }; private $lastUserFromIdentity = NULL }; private $httpRequestFactory = class MediaWiki\Http\HttpRequestFactory { private $options = class MediaWiki\Config\ServiceOptions { ... }; private $logger = class MediaWiki\Logger\LegacyLogger { ... } }; private $trackingCategories = class TrackingCategories { private $options = class MediaWiki\Config\ServiceOptions { ... }; private $namespaceInfo = class NamespaceInfo { ... }; private $titleParser = class MediaWikiTitleCodec { ... }; private $extensionRegistry = class ExtensionRegistry { ... }; private $logger = class MediaWiki\Logger\LegacyLogger { ... } }; private $signatureValidatorFactory = class MediaWiki\Preferences\SignatureValidatorFactory { private $serviceOptions = class MediaWiki\Config\ServiceOptions { ... }; private $parserFactoryClosure = class Closure { ... }; private $specialPageFactory = class MediaWiki\SpecialPage\SpecialPageFactory { ... }; private $titleFactory = class TitleFactory { ... } }; private $userNameUtils = class MediaWiki\User\UserNameUtils { private $options = class MediaWiki\Config\ServiceOptions { ... }; private $contentLang = class LanguageEn { ... }; private $logger = class MediaWiki\Logger\LegacyLogger { ... }; private $titleParser = class MediaWikiTitleCodec { ... }; private $textFormatter = class MediaWiki\Message\TextFormatter { ... }; private $reservedUsernames = FALSE; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... }; private $tempUserConfig = class MediaWiki\User\TempUser\RealTempUserConfig { ... } }; protected $deprecatedPublicProperties = ['mLinkID' => [...], 'mIncludeSizes' => [...], 'mDoubleUnderscores' => [...], 'mShowToc' => [...], 'mRevisionId' => [...], 'mRevisionTimestamp' => [...], 'mRevisionUser' => [...], 'mRevisionSize' => [...], 'mInputSize' => [...], 'mInParse' => [...], 'mFirstCall' => [...], 'mGeneratedPPNodeCount' => [...]]; private $dynamicPropertiesAccessDeprecated = FALSE }, $frame = class PPFrame_Hash { public $parser = class Parser { private $mTagHooks = [...]; private $mFunctionHooks = [...]; private $mFunctionSynonyms = [...]; private $mStripList = [...]; private $mVarCache = [...]; private $mImageParams = [...]; private $mImageParamsMagicArray = [...]; public $mMarkerIndex = 1; private $mVariables = class MagicWordArray { ... }; private $mSubstWords = class MagicWordArray { ... }; private $mExtLinkBracketedRegex = '/\\[(((?i)bitcoin\\:\|ftp\\:\\/\\/\|ftps\\:\\/\\/\|geo\\:\|git\\:\\/\\/\|gopher\\:\\/\\/\|http\\:\\/\\/\|https\\:\\/\\/\|irc\\:\\/\\/\|ircs\\:\\/\\/\|magnet\\:\|mailto\\:\|matrix\\:\|mms\\:\\/\\/\|news\\:\|nntp\\:\\/\\/\|redis\\:\\/\\/\|sftp\\:\\/\\/\|sip\\:\|sips\\:\|sms\\:\|ssh\\:\\/\\/\|svn\\:\\/\\/\|tel\\:\|telnet\\:\\/\\/\|urn\\:\|worldwind\\:\\/\\/\|xmpp\\:\|\\/\\/)(?:[0-9.]+\|\\[(?i:[0-9a-f:.]+)\\]\|[^][<>"\\x00-\\x20\\x7F\\p{Zs}\\x{FFFD}])[^][<>"\\x00-\\x20\\x7F\\p{Zs}\\x{FFFD}])\\p{Zs}([^\\]\\x00-\\x08\\x0a-\\x1F\\x{FFFD}]?)\\]/Su'; private $urlUtils = class MediaWiki\Utils\UrlUtils { ... }; private $mPreprocessor = class Preprocessor_Hash { ... }; private $mOutput = class ParserOutput { ... }; private $mAutonumber = 0; private $mStripState = class StripState { ... }; private $mLinkHolders = class LinkHolderArray { ... }; private $mLinkID = 0; private $mIncludeSizes = [...]; public $mPPNodeCount = 12; public $mHighestExpansionDepth = 2; private $mTplRedirCache = [...]; public $mHeadings = [...]; private $mDoubleUnderscores = [...]; public $mExpensiveFunctionCount = 0; private $mShowToc = TRUE; private $mForceTocPosition = FALSE; private $mTplDomCache = [...]; private $mUser = NULL; public $mOptions = class ParserOptions { ... }; public $mTitle = class Title { ... }; private $mOutputType = 1; public $ot = [...]; private $mRevisionId = 15507; private $mRevisionTimestamp = NULL; private $mRevisionUser = NULL; private $mRevisionSize = NULL; private $mInputSize = 11180; private $mRevisionRecordObject = NULL; private $mLangLinkLanguages = [...]; private $currentRevisionCache = NULL; private $mInParse = '#0 /var/www/wiki_mediawiki-1.39.3/includes/parser/Parser.php(699): Parser->lock()\n#1 /var/www/wiki_mediawiki-1.39.3/includes/content/WikitextContentHandler.php(301): Parser->parse()\n#2 /var/www/wiki_mediawiki-1.39.3/includes/content/ContentHandler.php(1720): WikitextContentHandler->fillParserOutput()\n#3 /var/www/wiki_mediawiki-1.39.3/includes/content/Renderer/ContentRenderer.php(47): ContentHandler->getParserOutput()\n#4 /var/www/wiki_mediawiki-1.39.3/includes/Revision/RenderedRevision.php(265): MediaWiki\\Co'...; private $mProfiler = class SectionProfiler { ... }; private $mLinkRenderer = NULL; private $magicWordFactory = class MagicWordFactory { ... }; private $contLang = class LanguageEn { ... }; private $languageConverterFactory = class MediaWiki\Languages\LanguageConverterFactory { ... }; private $factory = class ParserFactory { ... }; private $specialPageFactory = class MediaWiki\SpecialPage\SpecialPageFactory { ... }; private $titleFormatter = class MediaWikiTitleCodec { ... }; private $svcOptions = class MediaWiki\Config\ServiceOptions { ... }; private $linkRendererFactory = class MediaWiki\Linker\LinkRendererFactory { ... }; private $nsInfo = class NamespaceInfo { ... }; private $logger = class MediaWiki\Logger\LegacyLogger { ... }; private $badFileLookup = class MediaWiki\BadFileLookup { ... }; private $hookContainer = class MediaWiki\HookContainer\HookContainer { ... }; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... }; private $tidy = class MediaWiki\Tidy\RemexDriver { ... }; private $userOptionsLookup = class MediaWiki\User\UserOptionsManager { ... }; private $userFactory = class MediaWiki\User\UserFactory { ... }; private $httpRequestFactory = class MediaWiki\Http\HttpRequestFactory { ... }; private $trackingCategories = class TrackingCategories { ... }; private $signatureValidatorFactory = class MediaWiki\Preferences\SignatureValidatorFactory { ... }; private $userNameUtils = class MediaWiki\User\UserNameUtils { ... }; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; public $preprocessor = class Preprocessor_Hash { public $parser = class Parser { ... }; protected $wanCache = class WANObjectCache { ... }; protected $disableLangConversion = FALSE; protected $rules = [...]; protected $cacheThreshold = 1000 }; public $title = class Title { private $mTextform = 'NTSGrad Spring 2018/Abstracts'; private $mUrlform = 'NTSGrad_Spring_2018/Abstracts'; private $mDbkeyform = 'NTSGrad_Spring_2018/Abstracts'; private $mNamespace = 0; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 1383; protected $mLatestID = 15507; private $mContentModel = 'wikitext'; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'NTSGrad Spring 2018/Abstracts'; protected $mLength = 11180; public $mRedirect = FALSE; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = TRUE; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; public $titleCache = [0 => 'NTSGrad_Spring_2018/Abstracts']; public $loopCheckHash = []; public $depth = 0; private $volatile = FALSE; private $ttl = NULL; protected $childExpansionCache = []; private $maxPPNodeCount = 1000000; private $maxPPExpandDepth = 100 } )	.../Parser.php:4023
29	0.1148	2427920	SimpleMathJaxHooks::renderTex( $tex = '\\displaystyle{ K/\\mathbb{Q} }', $parser = class Parser { private $mTagHooks = ['pre' => [...], 'nowiki' => [...], 'gallery' => [...], 'indicator' => [...], 'langconvert' => [...], 'math' => 'SimpleMathJaxHooks::renderMath', 'chem' => 'SimpleMathJaxHooks::renderChem', 'source' => [...], 'syntaxhighlight' => [...], 'ref' => [...], 'references' => [...]]; private $mFunctionHooks = ['ns' => [...], 'nse' => [...], 'urlencode' => [...], 'lcfirst' => [...], 'ucfirst' => [...], 'lc' => [...], 'uc' => [...], 'localurl' => [...], 'localurle' => [...], 'fullurl' => [...], 'fullurle' => [...], 'canonicalurl' => [...], 'canonicalurle' => [...], 'formatnum' => [...], 'grammar' => [...], 'gender' => [...], 'plural' => [...], 'bidi' => [...], 'numberofpages' => [...], 'numberofusers' => [...], 'numberofactiveusers' => [...], 'numberofarticles' => [...], 'numberoffiles' => [...], 'numberofadmins' => [...], 'numberingroup' => [...], 'numberofedits' => [...], 'language' => [...], 'padleft' => [...], 'padright' => [...], 'anchorencode' => [...], 'defaultsort' => [...], 'filepath' => [...], 'pagesincategory' => [...], 'pagesize' => [...], 'protectionlevel' => [...], 'protectionexpiry' => [...], 'namespace' => [...], 'namespacee' => [...], 'namespacenumber' => [...], 'talkspace' => [...], 'talkspacee' => [...], 'subjectspace' => [...], 'subjectspacee' => [...], 'pagename' => [...], 'pagenamee' => [...], 'fullpagename' => [...], 'fullpagenamee' => [...], 'rootpagename' => [...], 'rootpagenamee' => [...], 'basepagename' => [...], 'basepagenamee' => [...], 'subpagename' => [...], 'subpagenamee' => [...], 'talkpagename' => [...], 'talkpagenamee' => [...], 'subjectpagename' => [...], 'subjectpagenamee' => [...], 'pageid' => [...], 'revisionid' => [...], 'revisionday' => [...], 'revisionday2' => [...], 'revisionmonth' => [...], 'revisionmonth1' => [...], 'revisionyear' => [...], 'revisiontimestamp' => [...], 'revisionuser' => [...], 'cascadingsources' => [...], 'int' => [...], 'special' => [...], 'speciale' => [...], 'tag' => [...], 'formatdate' => [...], 'displaytitle' => [...]]; private $mFunctionSynonyms = [0 => [...], 1 => [...]]; private $mStripList = [0 => 'pre', 1 => 'nowiki', 2 => 'gallery', 3 => 'indicator', 4 => 'langconvert', 5 => 'math', 6 => 'chem', 7 => 'source', 8 => 'syntaxhighlight', 9 => 'ref', 10 => 'references']; private $mVarCache = []; private $mImageParams = []; private $mImageParamsMagicArray = []; public $mMarkerIndex = 1; private $mVariables = class MagicWordArray { public $names = [...]; private $factory = class MagicWordFactory { ... }; private $hash = [...]; private $baseRegex = NULL; private $regex = NULL }; private $mSubstWords = class MagicWordArray { public $names = [...]; private $factory = class MagicWordFactory { ... }; private $hash = NULL; private $baseRegex = [...]; private $regex = NULL }; private $mExtLinkBracketedRegex = '/\\[(((?i)bitcoin\\:\|ftp\\:\\/\\/\|ftps\\:\\/\\/\|geo\\:\|git\\:\\/\\/\|gopher\\:\\/\\/\|http\\:\\/\\/\|https\\:\\/\\/\|irc\\:\\/\\/\|ircs\\:\\/\\/\|magnet\\:\|mailto\\:\|matrix\\:\|mms\\:\\/\\/\|news\\:\|nntp\\:\\/\\/\|redis\\:\\/\\/\|sftp\\:\\/\\/\|sip\\:\|sips\\:\|sms\\:\|ssh\\:\\/\\/\|svn\\:\\/\\/\|tel\\:\|telnet\\:\\/\\/\|urn\\:\|worldwind\\:\\/\\/\|xmpp\\:\|\\/\\/)(?:[0-9.]+\|\\[(?i:[0-9a-f:.]+)\\]\|[^][<>"\\x00-\\x20\\x7F\\p{Zs}\\x{FFFD}])[^][<>"\\x00-\\x20\\x7F\\p{Zs}\\x{FFFD}])\\p{Zs}([^\\]\\x00-\\x08\\x0a-\\x1F\\x{FFFD}]*?)\\]/Su'; private $urlUtils = class MediaWiki\Utils\UrlUtils { private $server = 'https://wiki.math.wisc.edu'; private $canonicalServer = 'https://wiki.math.wisc.edu'; private $internalServer = 'https://wiki.math.wisc.edu'; private $fallbackProtocol = 'http'; private $httpsPort = 443; private $validProtocols = [...]; private $validProtocolsCache = 'bitcoin\\:\|ftp\\:\\/\\/\|ftps\\:\\/\\/\|geo\\:\|git\\:\\/\\/\|gopher\\:\\/\\/\|http\\:\\/\\/\|https\\:\\/\\/\|irc\\:\\/\\/\|ircs\\:\\/\\/\|magnet\\:\|mailto\\:\|matrix\\:\|mms\\:\\/\\/\|news\\:\|nntp\\:\\/\\/\|redis\\:\\/\\/\|sftp\\:\\/\\/\|sip\\:\|sips\\:\|sms\\:\|ssh\\:\\/\\/\|svn\\:\\/\\/\|tel\\:\|telnet\\:\\/\\/\|urn\\:\|worldwind\\:\\/\\/\|xmpp\\:\|\\/\\/'; private $validAbsoluteProtocolsCache = NULL }; private $mPreprocessor = class Preprocessor_Hash { public $parser = ...; protected $wanCache = class WANObjectCache { ... }; protected $disableLangConversion = FALSE; protected $rules = [...]; protected $cacheThreshold = 1000 }; private $mOutput = class ParserOutput { protected $mParseUsedOptions = [...]; protected $mCacheTime = ''; protected $mCacheExpiry = NULL; protected $mCacheRevisionId = NULL; private $mText = NULL; private $mLanguageLinks = [...]; private $mCategories = [...]; private $mIndicators = [...]; private $mTitleText = ''; private $mLinks = [...]; private $mLinksSpecial = [...]; private $mTemplates = [...]; private $mTemplateIds = [...]; private $mImages = [...]; private $mFileSearchOptions = [...]; private $mExternalLinks = [...]; private $mInterwikiLinks = [...]; private $mNewSection = FALSE; private $mHideNewSection = FALSE; private $mNoGallery = FALSE; private $mHeadItems = [...]; private $mModules = [...]; private $mModuleStyles = [...]; private $mJsConfigVars = [...]; private $mOutputHooks = [...]; private $mWarnings = [...]; private $mWarningMsgs = [...]; private $mSections = [...]; private $mProperties = [...]; private $mTOCHTML = ''; private $mTimestamp = NULL; private $mEnableOOUI = FALSE; private $mIndexSet = FALSE; private $mNoIndexSet = FALSE; private $mExtensionData = [...]; private $mLimitReportData = [...]; private $mLimitReportJSData = [...]; private $mCacheMessage = ''; private $mParseStartTime = [...]; private $mPreventClickjacking = FALSE; private $mExtraScriptSrcs = [...]; private $mExtraDefaultSrcs = [...]; private $mExtraStyleSrcs = [...]; private $mFlags = [...]; private $mSpeculativeRevId = NULL; private $speculativePageIdUsed = NULL; private $revisionTimestampUsed = NULL; private $revisionUsedSha1Base36 = NULL; private $mWrapperDivClasses = [...]; private $mMaxAdaptiveExpiry = INF }; private $mAutonumber = 0; private $mStripState = class StripState { protected $data = [...]; protected $regex = '/\'"`UNIQ-([^<>&\'"]+)-QINU`"\'/'; protected $parser = ...; protected $circularRefGuard = [...]; protected $depth = 0; protected $highestDepth = 0; protected $expandSize = 0; protected $depthLimit = 20; protected $sizeLimit = 5000000 }; private $mLinkHolders = class LinkHolderArray { public $internals = [...]; public $interwikis = [...]; public $size = 0; public $parent = ...; private $languageConverter = class TrivialLanguageConverter { ... }; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... } }; private $mLinkID = 0; private $mIncludeSizes = ['post-expand' => 0, 'arg' => 0]; public $mPPNodeCount = 12; public $mHighestExpansionDepth = 2; private $mTplRedirCache = []; public $mHeadings = [0 => [...], 1 => [...], 2 => [...], 3 => [...], 4 => [...], 5 => [...], 6 => [...], 7 => [...]]; private $mDoubleUnderscores = []; public $mExpensiveFunctionCount = 0; private $mShowToc = TRUE; private $mForceTocPosition = FALSE; private $mTplDomCache = []; private $mUser = NULL; public $mOptions = class ParserOptions { private $options = [...]; private $mTimestamp = NULL; private $mUser = class User { ... }; private $onAccessCallback = [...]; private $redirectTarget = NULL; private $mExtraKey = '' }; public $mTitle = class Title { private $mTextform = 'NTSGrad Spring 2018/Abstracts'; private $mUrlform = 'NTSGrad_Spring_2018/Abstracts'; private $mDbkeyform = 'NTSGrad_Spring_2018/Abstracts'; private $mNamespace = 0; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 1383; protected $mLatestID = 15507; private $mContentModel = 'wikitext'; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'NTSGrad Spring 2018/Abstracts'; protected $mLength = 11180; public $mRedirect = FALSE; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = TRUE; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; private $mOutputType = 1; public $ot = ['html' => TRUE, 'wiki' => FALSE, 'pre' => FALSE, 'plain' => FALSE]; private $mRevisionId = 15507; private $mRevisionTimestamp = NULL; private $mRevisionUser = NULL; private $mRevisionSize = NULL; private $mInputSize = 11180; private $mRevisionRecordObject = NULL; private $mLangLinkLanguages = []; private $currentRevisionCache = NULL; private $mInParse = '#0 /var/www/wiki_mediawiki-1.39.3/includes/parser/Parser.php(699): Parser->lock()\n#1 /var/www/wiki_mediawiki-1.39.3/includes/content/WikitextContentHandler.php(301): Parser->parse()\n#2 /var/www/wiki_mediawiki-1.39.3/includes/content/ContentHandler.php(1720): WikitextContentHandler->fillParserOutput()\n#3 /var/www/wiki_mediawiki-1.39.3/includes/content/Renderer/ContentRenderer.php(47): ContentHandler->getParserOutput()\n#4 /var/www/wiki_mediawiki-1.39.3/includes/Revision/RenderedRevision.php(265): MediaWiki\\Co'...; private $mProfiler = class SectionProfiler { protected $start = NULL; protected $end = NULL; protected $stack = [...]; protected $workStack = [...]; protected $collated = [...]; protected $collateDone = FALSE; protected $errorEntry = [...]; protected $logger = class MediaWiki\Logger\LegacyLogger { ... } }; private $mLinkRenderer = NULL; private $magicWordFactory = class MagicWordFactory { private $mVariableIDsInitialised = TRUE; private $mVariableIDs = [...]; private $mCacheTTLs = [...]; private $mDoubleUnderscoreIDs = [...]; private $mSubstIDs = [...]; private $mObjects = [...]; private $mDoubleUnderscoreArray = NULL; private $contLang = class LanguageEn { ... }; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... } }; private $contLang = class LanguageEn { public $mCode = 'en'; public $mMagicExtensions = [...]; private ${Language}mHtmlCode = NULL; public $dateFormatStrings = [...]; public $mExtendedSpecialPageAliases = NULL; protected $namespaceNames = [...]; protected $mNamespaceIds = NULL; protected $namespaceAliases = NULL; private ${Language}transformData = [...]; private ${Language}namespaceInfo = class NamespaceInfo { ... }; private ${Language}localisationCache = class LocalisationCache { ... }; private ${Language}langNameUtils = class MediaWiki\Languages\LanguageNameUtils { ... }; private ${Language}langFallback = class MediaWiki\Languages\LanguageFallback { ... }; private ${Language}grammarTransformCache = NULL; private ${Language}converterFactory = class MediaWiki\Languages\LanguageConverterFactory { ... }; private ${Language}hookContainer = class MediaWiki\HookContainer\HookContainer { ... }; private ${Language}hookRunner = class MediaWiki\HookContainer\HookRunner { ... }; private ${Language}config = class GlobalVarConfig { ... } }; private $languageConverterFactory = class MediaWiki\Languages\LanguageConverterFactory { private $cache = [...]; private $converterList = [...]; private $objectFactory = class Wikimedia\ObjectFactory\ObjectFactory { ... }; private $isConversionDisabled = FALSE; private $isTitleConversionDisabled = FALSE; private $defaultLanguage = class Closure { ... } }; private $factory = class ParserFactory { private $svcOptions = class MediaWiki\Config\ServiceOptions { ... }; private $magicWordFactory = class MagicWordFactory { ... }; private $contLang = class LanguageEn { ... }; private $urlUtils = class MediaWiki\Utils\UrlUtils { ... }; private $specialPageFactory = class MediaWiki\SpecialPage\SpecialPageFactory { ... }; private $linkRendererFactory = class MediaWiki\Linker\LinkRendererFactory { ... }; private $nsInfo = class NamespaceInfo { ... }; private $logger = class MediaWiki\Logger\LegacyLogger { ... }; private $badFileLookup = class MediaWiki\BadFileLookup { ... }; private $languageConverterFactory = class MediaWiki\Languages\LanguageConverterFactory { ... }; private $userOptionsLookup = class MediaWiki\User\UserOptionsManager { ... }; private $userFactory = class MediaWiki\User\UserFactory { ... }; private $titleFormatter = class MediaWikiTitleCodec { ... }; private $httpRequestFactory = class MediaWiki\Http\HttpRequestFactory { ... }; private $trackingCategories = class TrackingCategories { ... }; private $signatureValidatorFactory = class MediaWiki\Preferences\SignatureValidatorFactory { ... }; private $userNameUtils = class MediaWiki\User\UserNameUtils { ... }; private $hookContainer = class MediaWiki\HookContainer\HookContainer { ... }; private $tidy = class MediaWiki\Tidy\RemexDriver { ... }; private $wanCache = class WANObjectCache { ... }; private $mainInstance = ... }; private $specialPageFactory = class MediaWiki\SpecialPage\SpecialPageFactory { private $list = NULL; private $aliases = NULL; private $options = class MediaWiki\Config\ServiceOptions { ... }; private $contLang = class LanguageEn { ... }; private $objectFactory = class Wikimedia\ObjectFactory\ObjectFactory { ... }; private $hookContainer = class MediaWiki\HookContainer\HookContainer { ... }; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... }; private $titleFactory = class TitleFactory { ... } }; private $titleFormatter = class MediaWikiTitleCodec { protected $language = class LanguageEn { ... }; protected $genderCache = class GenderCache { ... }; protected $localInterwikis = [...]; protected $interwikiLookup = class MediaWiki\Interwiki\ClassicInterwikiLookup { ... }; protected $nsInfo = class NamespaceInfo { ... }; private $createMalformedTitleException = class Closure { ... } }; private $svcOptions = class MediaWiki\Config\ServiceOptions { private $keys = [...]; private $options = [...] }; private $linkRendererFactory = class MediaWiki\Linker\LinkRendererFactory { private $titleFormatter = class MediaWikiTitleCodec { ... }; private $linkCache = class LinkCache { ... }; private $hookContainer = class MediaWiki\HookContainer\HookContainer { ... }; private $specialPageFactory = class MediaWiki\SpecialPage\SpecialPageFactory { ... } }; private $nsInfo = class NamespaceInfo { private $alwaysCapitalizedNamespaces = [...]; private $canonicalNamespaces = [...]; private $namespaceIndexes = FALSE; private $validNamespaces = [...]; private $options = class MediaWiki\Config\ServiceOptions { ... }; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... } }; private $logger = class MediaWiki\Logger\LegacyLogger { protected $channel = 'Parser'; private $minimumLevel = 999; private $isDB = FALSE }; private $badFileLookup = class MediaWiki\BadFileLookup { private $listCallback = class Closure { ... }; private $cache = class EmptyBagOStuff { ... }; private $repoGroup = class RepoGroup { ... }; private $titleParser = class MediaWikiTitleCodec { ... }; private $badFiles = NULL; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... } }; private $hookContainer = class MediaWiki\HookContainer\HookContainer { private $dynamicHandlers = [...]; private $tombstones = [...]; private $handlersByName = [...]; private $registry = class MediaWiki\HookContainer\GlobalHookRegistry { ... }; private $objectFactory = class Wikimedia\ObjectFactory\ObjectFactory { ... }; private $nextScopedRegisterId = 0 }; private $hookRunner = class MediaWiki\HookContainer\HookRunner { private $container = class MediaWiki\HookContainer\HookContainer { ... } }; private $tidy = class MediaWiki\Tidy\RemexDriver { protected $config = [...]; private $treeMutationTrace = FALSE; private $serializerTrace = FALSE; private $mungerTrace = FALSE; private $pwrap = TRUE; private $enableLegacyMediaDOM = TRUE }; private $userOptionsLookup = class MediaWiki\User\UserOptionsManager { private $serviceOptions = class MediaWiki\Config\ServiceOptions { ... }; private $defaultOptionsLookup = class MediaWiki\User\DefaultOptionsLookup { ... }; private $languageConverterFactory = class MediaWiki\Languages\LanguageConverterFactory { ... }; private $loadBalancer = class Wikimedia\Rdbms\LoadBalancer { ... }; private $userFactory = class MediaWiki\User\UserFactory { ... }; private $logger = class MediaWiki\Logger\LegacyLogger { ... }; private $modifiedOptions = [...]; private $originalOptionsCache = [...]; private $optionsFromDb = [...]; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... }; private $queryFlagsUsedForCaching = [...] }; private $userFactory = class MediaWiki\User\UserFactory { private $loadBalancer = class Wikimedia\Rdbms\LoadBalancer { ... }; private $userNameUtils = class MediaWiki\User\UserNameUtils { ... }; private $lastUserFromIdentity = NULL }; private $httpRequestFactory = class MediaWiki\Http\HttpRequestFactory { private $options = class MediaWiki\Config\ServiceOptions { ... }; private $logger = class MediaWiki\Logger\LegacyLogger { ... } }; private $trackingCategories = class TrackingCategories { private $options = class MediaWiki\Config\ServiceOptions { ... }; private $namespaceInfo = class NamespaceInfo { ... }; private $titleParser = class MediaWikiTitleCodec { ... }; private $extensionRegistry = class ExtensionRegistry { ... }; private $logger = class MediaWiki\Logger\LegacyLogger { ... } }; private $signatureValidatorFactory = class MediaWiki\Preferences\SignatureValidatorFactory { private $serviceOptions = class MediaWiki\Config\ServiceOptions { ... }; private $parserFactoryClosure = class Closure { ... }; private $specialPageFactory = class MediaWiki\SpecialPage\SpecialPageFactory { ... }; private $titleFactory = class TitleFactory { ... } }; private $userNameUtils = class MediaWiki\User\UserNameUtils { private $options = class MediaWiki\Config\ServiceOptions { ... }; private $contentLang = class LanguageEn { ... }; private $logger = class MediaWiki\Logger\LegacyLogger { ... }; private $titleParser = class MediaWikiTitleCodec { ... }; private $textFormatter = class MediaWiki\Message\TextFormatter { ... }; private $reservedUsernames = FALSE; private $hookRunner = class MediaWiki\HookContainer\HookRunner { ... }; private $tempUserConfig = class MediaWiki\User\TempUser\RealTempUserConfig { ... } }; protected $deprecatedPublicProperties = ['mLinkID' => [...], 'mIncludeSizes' => [...], 'mDoubleUnderscores' => [...], 'mShowToc' => [...], 'mRevisionId' => [...], 'mRevisionTimestamp' => [...], 'mRevisionUser' => [...], 'mRevisionSize' => [...], 'mInputSize' => [...], 'mInParse' => [...], 'mFirstCall' => [...], 'mGeneratedPPNodeCount' => [...]]; private $dynamicPropertiesAccessDeprecated = FALSE } )	.../SimpleMathJaxHooks.php:26
30	0.1148	2427920	ParserOutput->addModules( $modules = 'ext.SimpleMathJax' )	.../SimpleMathJaxHooks.php:34
31	0.1148	2427920	wfDeprecated( $function = 'ParserOutput::addModules with non-array argument', $version = '1.38', $component = ???, $callerOffset = ??? )	.../ParserOutput.php:1180
32	0.1148	2427920	MWDebug::deprecated( $function = 'ParserOutput::addModules with non-array argument', $version = '1.38', $component = FALSE, $callerOffset = 3 )	.../GlobalFunctions.php:765
33	0.1148	2428048	MWDebug::deprecatedMsg( $msg = 'Use of ParserOutput::addModules with non-array argument was deprecated in MediaWiki 1.38.', $version = '1.38', $component = 'MediaWiki', $callerOffset = 4 )	.../MWDebug.php:233
34	0.1148	2429744	MWDebug::sendRawDeprecated( $msg = 'Use of ParserOutput::addModules with non-array argument was deprecated in MediaWiki 1.38. [Called from SimpleMathJaxHooks::renderTex in /var/www/wiki_mediawiki-1.39.3/extensions/SimpleMathJax/SimpleMathJaxHooks.php at line 34]', $sendToLog = TRUE, $callerFunc = 'SimpleMathJaxHooks::renderTex' )	.../MWDebug.php:351
35	0.1148	2429744	trigger_error( $message = 'Use of ParserOutput::addModules with non-array argument was deprecated in MediaWiki 1.38. [Called from SimpleMathJaxHooks::renderTex in /var/www/wiki_mediawiki-1.39.3/extensions/SimpleMathJax/SimpleMathJaxHooks.php at line 34]', $error_level = 16384 )	.../MWDebug.php:381

( ! ) Warning: Cannot modify header information - headers already sent by (output started at /var/www/wiki_mediawiki-1.39.3/includes/debug/MWDebug.php:381) in /var/www/wiki_mediawiki-1.39.3/includes/WebResponse.php on line 75
Call Stack
#	Time	Memory	Function	Location
1	0.0003	358104	{main}( )	.../index.php:0
2	0.0500	1479416	wfIndexMain( )	.../index.php:46
3	0.0500	1479528	MediaWiki->run( )	.../index.php:50
4	0.0500	1479528	MediaWiki->main( )	.../MediaWiki.php:562
5	0.2409	2744960	OutputPage->output( $return = TRUE )	.../MediaWiki.php:922
6	0.2409	2761536	WebResponse->header( $string = 'Content-type: text/html; charset=UTF-8', $replace = ???, $http_response_code = ??? )	.../OutputPage.php:2825
7	0.2410	2761728	header( $header = 'Content-type: text/html; charset=UTF-8', $replace = TRUE )	.../WebResponse.php:75

( ! ) Warning: Cannot modify header information - headers already sent by (output started at /var/www/wiki_mediawiki-1.39.3/includes/debug/MWDebug.php:381) in /var/www/wiki_mediawiki-1.39.3/includes/WebResponse.php on line 75
Call Stack
#	Time	Memory	Function	Location
1	0.0003	358104	{main}( )	.../index.php:0
2	0.0500	1479416	wfIndexMain( )	.../index.php:46
3	0.0500	1479528	MediaWiki->run( )	.../index.php:50
4	0.0500	1479528	MediaWiki->main( )	.../MediaWiki.php:562
5	0.2409	2744960	OutputPage->output( $return = TRUE )	.../MediaWiki.php:922
6	0.2412	2761648	WebResponse->header( $string = 'Content-language: en', $replace = ???, $http_response_code = ??? )	.../OutputPage.php:2826
7	0.2412	2761648	header( $header = 'Content-language: en', $replace = TRUE )	.../WebResponse.php:75

( ! ) Warning: Cannot modify header information - headers already sent by (output started at /var/www/wiki_mediawiki-1.39.3/includes/debug/MWDebug.php:381) in /var/www/wiki_mediawiki-1.39.3/includes/WebResponse.php on line 75
Call Stack
#	Time	Memory	Function	Location
1	0.0003	358104	{main}( )	.../index.php:0
2	0.0500	1479416	wfIndexMain( )	.../index.php:46
3	0.0500	1479528	MediaWiki->run( )	.../index.php:50
4	0.0500	1479528	MediaWiki->main( )	.../MediaWiki.php:562
5	0.2409	2744960	OutputPage->output( $return = TRUE )	.../MediaWiki.php:922
6	0.3476	3510376	OutputPage->sendCacheControl( )	.../OutputPage.php:2891
7	0.3477	3511392	WebResponse->header( $string = 'Vary: Accept-Encoding, Cookie', $replace = ???, $http_response_code = ??? )	.../OutputPage.php:2691
8	0.3478	3511392	header( $header = 'Vary: Accept-Encoding, Cookie', $replace = TRUE )	.../WebResponse.php:75

( ! ) Warning: Cannot modify header information - headers already sent by (output started at /var/www/wiki_mediawiki-1.39.3/includes/debug/MWDebug.php:381) in /var/www/wiki_mediawiki-1.39.3/includes/WebResponse.php on line 75
Call Stack
#	Time	Memory	Function	Location
1	0.0003	358104	{main}( )	.../index.php:0
2	0.0500	1479416	wfIndexMain( )	.../index.php:46
3	0.0500	1479528	MediaWiki->run( )	.../index.php:50
4	0.0500	1479528	MediaWiki->main( )	.../MediaWiki.php:562
5	0.2409	2744960	OutputPage->output( $return = TRUE )	.../MediaWiki.php:922
6	0.3476	3510376	OutputPage->sendCacheControl( )	.../OutputPage.php:2891
7	0.3481	3527784	WebResponse->header( $string = 'Expires: Thu, 01 Jan 1970 00:00:00 GMT', $replace = ???, $http_response_code = ??? )	.../OutputPage.php:2728
8	0.3481	3527784	header( $header = 'Expires: Thu, 01 Jan 1970 00:00:00 GMT', $replace = TRUE )	.../WebResponse.php:75

NTSGrad Spring 2018/Abstracts

Contents

Jan 23

Jan 30

Feb 6

Feb 20

Feb 27

Mar 13

Mar 20

Apr 3

Apr 10

Apr 17

Apr 23

Apr 24

May 1

May 8

Navigation menu

NTSGrad Spring 2018/Abstracts

Jan 23

Jan 30

Feb 6

Feb 20

Feb 27

Mar 13

Mar 20

Apr 3

Apr 10

Apr 17

Apr 23

Apr 24

May 1

May 8

Navigation menu

Search