Nilay Kumar



I'm a second 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.

If I'm not thinking about math, you'll find me making bad puns or reading García Márquez.

research interests

Broadly speaking, I'm interested in mathematical physics. More specifically, I'm interested in the mathematical structures (differential geometry and algebraic topology) in and around classical and quantum field theories. My advisor is Ezra Getzler.

writing

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 Kan seminar Nov022016 rational homotopy theory, after Quillen
Northwestern Kan seminar Oct122016 the Steenrod algebra and its dual
Northwestern Riemann surfaces seminar Aug082016 divisors and line bundles
Northwestern Riemann surfaces seminar Jul272016 almost complex structures
Northwestern topology learning seminar Jan202016 characteristic classes
Northwestern Reshetikin-Turaev seminar Jan132016 geometric quantization
Northwestern reading course Dec112015 rough notes on symplectic geometry

teaching

Office hours: T 4-6pm, F 2-3pm in Lunt B11