## Nilay Kumar

I'm a third year graduate student at Northwestern University in Evanston, IL. Before this I was an undergraduate at Columbia University in Manhattan, NY, and even before that (ancient history) I went to high school at Montgomery Blair in Silver Spring, MD. When I'm not thinking about math I like to read.

This quarter we're running a mathematical physics seminar, affectionately named math-ph.

### research interests

Broadly speaking, I'm interested in mathematical physics, the geometry and topology related to quantum field theories. At the moment I'm thinking about differential cohomology and Hochschild homology. My advisor is Ezra Getzler.

### writing

 Northwestern Complex Geometry Winter 2018 Notes from Mihnea Popa's lectures Northwestern Graduate student seminar Sep 22 2017 15 minute talk on Atiyah-Singer Northwestern Factorization homology Fall 2017 Notes from John Francis' lectures Northwestern Milnor seminar Apr 10 2017 Chern classes and differential forms Northwestern WKB reading group Mar 22 2017 the Morse and de Rham $$A_\infty$$-(pre)categories Northwestern BV seminar Jan 10 2017 symplectic geometry and classical mechanics Northwestern Kan seminar Nov 30 2016 $$h_*$$-localization of spaces, after Bousfield Northwestern Reshetikin-Turaev seminar Jan 13 2016 geometric quantization Northwestern reading course Dec 11 2015 rough notes on symplectic geometry

### teaching

I am not teaching this quarter.