# James Hotchkiss

I am a Ritt Assistant Professor at Columbia University, working in algebraic geometry. In Spring 2024, I am at MSRI (now SLMath). 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.

Aaron Fagerstrom for SLMath

Papers

The gonality of complete intersection curves (with C. Lau and B. Ullery). J. Alg. 560 (2020), 579–608.

Hodge theory of twisted derived categories and the period-index problem.

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 conjecture for abelian threefolds and Donaldson–Thomas theory (with Alex Perry).

Talks 2023–2024

October 6: Valley Geometry Seminar, UMass Amherst

October 20–22: Brauer Groups and Derived Categories, FRG Workshop at Northwestern

November 6–10: Derived Workshop, Hausdorff Research Institute

November 14: Princeton Algebraic Geometry Seminar

December 5: University of Toronto, Algebraic Geometry Seminar

December 6: Stony Brook Algebraic Geometry Seminar

December 8: Columbia Algebraic Geometry Seminar

January 4: Derived Categories, Arithmetic and Geometry, JMM 2024, San Francisco

April 20: Ramification in Algebraic and Arithmetic Geometry, AMS Special Session, Milwaukee

May 1–4: Derived Categories and Moduli Spaces, FRG Workshop at UCSB

May 7: Dartmouth College, Algebra and Number Theory Seminar