Algebra and Algebraic Geometry Seminar Fall 2021

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The Virtual Seminar will take place on Fridays at 2:30 pm via Zoom. We will also link to relevant or interesting Zoom talks outside of the seminar.

Algebra and Algebraic Geometry Mailing List

  • Please join the AGS mailing list by sending an email to to hear about upcoming seminars, lunches, and other algebraic geometry events in the department (it is possible you must be on a math department computer to use this link).

COVID-19 Update

As a result of Covid-19, the seminar for this semester will be a mix of virtual and in-person talks. The default Zoom link for the seminar is (sometimes we will have to use a different meeting link, if Michael K cannot host that day).

Fall 2021 Schedule

date speaker title host/link to talk
September 24 Michael Kemeny (local) The Rank of Syzygies
October 1 Michael K Brown (Auburn University) Something about toric varieties, probably Daniel
October 8 Peter Wei (local) TBD (talk will be about results of Ogus on K3 surfaces in char p and syzygies) Michael
October 15
October 22 Ritvik Ramkumar (UC Berkeley) Something about Hilbert schemes, probably Daniel
October 29
November 5 Eric Ramos Equivariant log-concavity
November 12
November 19
November 26 Thanksgiving
December 3
December 10


Speaker Name

Michael Kemeny

Title: The Rank of Syzygies

Abstract: I will explain a notion of rank for the relations amongst the equations of a projective variety. This notion generalizes the classical notion of rank of a quadric and is just as interesting! I will spend most of the talk developing this notion but will also explain one result which tells us that, for a randomly chosen canonical curve, you expect all the linear syzygies to have the lowest possible rank. This is a sweeping generalization of old results of Andreotti-Mayer, Harris-Arbarello and Green, which tell us that canonical curves are defined by quadrics of rank four.