Fall 2025 Analysis Seminar
Organizers: Lars Niedorf and Andreas Seeger
Emails:
- Lars Niedorf: niedorf at math dot wisc dot edu
- Andreas Seeger: seeger at math dot wisc dot edu
Time and Room: Wednesdays, 3:30--4:30 p.m., Van Vleck B235
In some cases the seminar may be scheduled at different time to accommodate speakers.
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| Date | Speaker | Institution | Title | Host(s) | Notes (e.g. unusual room/day/time) |
|---|---|---|---|---|---|
| September 10 | Giorgio Young | UW Madison | Wavepacket spread for almost periodic and partially periodic Schrödinger operators | ||
| September 17 | Rajula Srivastava | UW Madison | A Fourier Analytic Approach to Count Integer Points near Space Curves | ||
| September 24 | Ben Johnsrude | UW Madison | |||
| October 1 | Lars Niedorf | UW Madison | Spectral multipliers for the Kohn-Laplacian on the Heisenberg group | ||
| Friday/Saturday October 3/4 | Harmonic Analysis Workshop | Andreas, Betsy, Brian | Talks in VV 911 or B239 (see the linked schedule) | ||
| Friday, October 3, 4:00 p.m. | Hong Wang | NYU & IHES | Andreas, Betsy, Brian | Colloquium integrated in the workshop, VV B239 | |
| October 8 | Jaehyeon Ryu | EWHA Womans University | Andreas, Lars | ||
| October 15 | John Treuer | UC San Diego | Xianghong | ||
| October 22 | Burak Hatinoglu | Michigan State | Alexei | tentatively | |
| October 29 | Niclas Technau | UW Madison | |||
| November 5 | Marco Fraccaroli | UMass Lowell | Andreas | ||
| November 12, 4.00 pm. | Rachel Greenfeld | Northwestern | Andreas, Betsy | Wednesday Colloquium in VV B239. | |
| November 19 | Sarah Tammen | UW Madison | |||
| November 26 | --- | No seminar | |||
| December 3 | Terry Harris | UW Madison |
Abstracts
Giorgio Young
Title: Wavepacket spread for almost periodic and partially periodic Schr\"odinger operators
Abstract: In this talk, we will provide an introduction to quantum dynamics, and introduce some notions of wavepacket spread, including ballistic transport and dispersion. We will then present some results showing ballistic transport for one dimensional continuum Schr\"odinger operators with limit-periodic potentials, as well as ``directional ballistic transport" for higher dimensional discrete and continuum Schr\"odinger operators with potentials supported, and periodic, on a strip. Finally, we will describe a recent result finding dispersion at the optimal rate for periodic discrete Schr\"odinger operators. This talk contains joint work with Adam Black, David Damanik, Jake Fillman, and Tal Malinovitch.
Rajula Srivastava
Title: A Fourier Analytic Approach to Count Integer Points near Space Curves
Abstract: We present recent results giving both upper and lower bounds for the number of integral points lying near smooth nondegenerate curves in $\mathbb{R}^n$. These estimates are new in dimensions $n\geq 4$, and in the case $n\geq 3$ they recover an earlier result of J. J. Huang. Our approach differs significantly from previous work: instead of relying on sharp planar counting results, we employ Fourier analytic methods. A key ingredient is an Arkhipov–Chubarikov–Karatsuba-type oscillatory integral estimate. This is joint work with Jonathan Hickman (Edinburgh).