Michael Zhao Memorial Student Colloquium

Fall 2020

Each week, the Michael Zhao Memorial Student Colloquium holds 45-minute talks by Columbia mathematics faculty about their own research. The talks are intended for current PhD students in mathematics at Columbia. If you are an undergraduate student or external graduate student and would like to come, please email hindy.drillick@columbia.edu or wang.chuwen@columbia.edu.

Seminar Plan

This Fall the Seminar is organized online. It meets on Wednesdays at 4:00p.m./Thursdays at 9:30a.m. EDT virtually in Zoom, followed by informal gathering through a platform Gather Town.

Zoom link: https://columbiauniversity.zoom.us/j/98666477704?pwd=c2E2OGNma2djNlpMM3AxdU9Pbmx4UT09

Organizers: Chuwen Wang, Hindy Drillick, Georgy Gaitsgori and Patrick Lei.

Upcoming Seminar

Date and time Speaker Title and abstract
Thursday, October 15, 9:30a.m. EDT Francesco Lin Spin structures on surfaces and the 28 bitangents to a plane quartic

It is a classical result in algebraic geometry that a general planar quartic admits exactly 28 bitangent lines. In this talk, I will discuss a purely topological approach to this geometric result due to Atiyah. Along the way, I will introduce spin groups and the basic ideas of index theory.

Schedule of Seminars

Date and time Speaker Title and abstract
Thursday, October 29, 9:30a.m. EDT Dusa McDuff TBD
Thursday, November 5, 9:30a.m. EDT Chao Li TBD
Wednesday, November 11, 4:00p.m. EDT Mikhail Khovanov TBD
Tuesday, November 24, 9:30a.m. EDT Daniela De Silva TBD
Thursday, December 3, 9:30a.m. EDT Mohammed Abouzaid TBD

Previous Seminars

Date and time Speaker Title and abstract
Wednesday, September 23, 4:00p.m. EDT Simon Brendle Heat diffusion and geometry
Wednesday, September 30, 4:00p.m. EDT Ivan Corwin Random permutations, partitions and PDEs

We start with a seemingly innocuous question - what do large random permutations look like? Focusing on the structure of their "increasing subsequences" we encounter some remarkable mathematics related to symmetric functions (e.g. Schur and Macdonald), random matrices, and stochastic PDEs. No prior knowledge of any of this will be assumed.
Thursday, October 8, 9:30a.m. EDT Nicholas Salter Framed mapping class groups, or the topology of families of translation surfaces

Riemann surfaces are among the most ubiquitous of mathematical objects, and many problems can be formulated as understanding a family of Riemann surfaces. The study of such families draws on many areas of mathematics - complex analysis and algebraic geometry, low-dimensional topology, dynamics, geometric group theory, and more. In many situations, the family under study is equipped with the extra data of a preferred section of some line bundle, e.g. a holomorphic 1-form. I will discuss some new tools for understanding the behavior of these families.

Spring 2020

Fall 2019

Spring 2019

Fall 2018

Spring 2018