James Hotchkiss
I am an NSF postdoc / Ritt Assistant Professor at Columbia University, working in algebraic geometry. In Spring 2024, I was at a postdoc at MSRI. Previously, I was a graduate student at the University of Michigan, where my advisor was Alex Perry.
My research interests include Hodge theory, derived categories, and Brauer groups.
With Yoonjoo Kim and Giulia Saccà, I co-organize the algebraic geometry seminar at Columbia.
My work is supported by NSF DMS-2401818.
Aaron Fagerstrom for SLMath
Papers
The period-index conjecture for abelian threefolds and Donaldson–Thomas theory (with Alex Perry), submitted.
On decompositions for Fano schemes of intersections of two quadrics (with Pieter Belmans, Jishnu Bose, Sarah Frei, Benjamin Gould, Alicia Lamarche, Jack Petok, Cristian Rodriguez Avila, Saket Shah).
The period-index problem for complex tori, submitted.
Hodge theory of twisted derived categories and the period-index problem, submitted.
The gonality of complete intersection curves (with C. Lau and B. Ullery). J. Alg. 560 (2020), 579–608.
Travel 2024 – 2025:
Oberwolfach, September 22 – 27
Yale October 22
Geometry meets Physics, Netherlands, January 27 – 30
Kansas, March