In the piece, the argument of string theory critics is given as: ...

A few weeks ago I recorded a podcast with Robinson Erhardt, which has now appeared as String Theory and the Crisis in Physics. We mainly talk about the current situation of string theory in physics ...

Schedule: The class meets once weekly. Topics and readings for each session are listed below. This course is being taught by two senior faculty members who are theorists and practitioners in ...

Welcome to my website! I am a PhD student in Mathematics at Columbia University, advised by Ivan Corwin. I am interested in a variety of topics in probability, combinatorics, and mathematical physics, ...

This fall, I am leading an undergraduate seminar on the history of algebraic geometry. In Summer 2024, I taught Ordinary Differential Equations. In Fall 2023, I taught Calculus II.

Hurwitz spaces, Nichols algebras, and Igusa zeta functions, University of Toronto Algebraic Geometry Seminar, March 2024. Prehomogeneous vector spaces and Nichols algebras over symmetric groups, ...

I am a fifth-year PhD student at Columbia interested in number theory and arithmetic geometry, especially p-adic geometry and cycles on spaces of shtukas of various kinds. Many of my interests revolve ...

Here are links to expository articles I have written. There is large variation in their quality and they have generally not been proofread, so use at your own risk!

We meet on Mondays from 2:40pm to 4pm in room 528 to go over lecture notes in Hyperbolic PDEs and General Relativity and present recent interesting preprints.

This is the webpage for the section of Undergraduate Seminars I focused on Fermat's last theorem. A tentative syllabus can be found here; further details and materials will appear soon.