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.


Northwestern Complex Geometry Winter2018 Notes from Mihnea Popa's lectures
Northwestern Graduate student seminar Sep222017 15 minute talk on Atiyah-Singer
Northwestern Factorization homology Fall2017 Notes from John Francis' lectures
Northwestern Milnor seminar Apr102017 Chern classes and differential forms
Northwestern WKB reading group Mar222017 the Morse and de Rham \(A_\infty\)-(pre)categories
Northwestern BV seminar Jan102017 symplectic geometry and classical mechanics
Northwestern Kan seminar Nov302016 \(h_*\)-localization of spaces, after Bousfield
Northwestern Reshetikin-Turaev seminar Jan132016 geometric quantization
Northwestern reading course Dec112015 rough notes on symplectic geometry


I am not teaching this quarter.