Nilay Kumar


I'm a sixth year graduate student at Northwestern University in Evanston, IL. Before this I was an undergraduate at Columbia University in New York City, NY. You can find my CV here.


Here is my guide to live\(\TeX\)ing.

Here are my boards for Math 220 and Math 230.

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 forms and graded geometry.
My advisor is Ezra Getzler.

writing

Northwestern Rational Homotopy Theory Winter2019 John Francis' lectures (live\(\TeX\)'d)
Fields Institute Derived Geometry Summer2018 Various lectures (live\(\TeX\)'d)
Northwestern Complex Geometry Win/Spr2018 Mihnea Popa's lectures (live\(\TeX\)'d)
Northwestern Graduate student seminar Sep222017 15 minute talk on Atiyah-Singer
Northwestern Factorization homology Fall2017 John Francis' lectures (live\(\TeX\)'d)
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

teaching

Office hours: Tu 1:30-3pm, F 11am-12:30pm — on Zoom (see Canvas for the link)