My research interests are primarily in algebraic geometry and commutative algebra. In particular, I am interested in questions and ideas regarding derived categories, birational geometry in nonzero characteristic, and singularity theory. Lately, this includes understanding the structure of the derived category of bounded complexes of coherent sheaves for a variety over a field of prime characteristic.

Papers

“High Frobenius Pushforwards generate the bounded derived category” joint work w/ Matthew Ballard, Srikanth B. Iyengar, Alapan Mukhopadhyay, and Josh Pollitz.

“Intrinsic Curvature For Schemes.” M.Sc. thesis (2020).

Talks (last two years)

“High Frobenius pushforwards generate the bounded derived category” - New Directions in Group Theory and Triangulated Categories, TBA

“High Frobenius pushforwards generate the bounded derived category” - Categorical methods in moduli theory, University of Pennsylvania, April 2023

“Generation of derived categories in prime characteristic” - AMS Special Session on Interactions between Noncommutative Ring Theory and Algebraic Geometry, Spring Central Sectional, April 2023

“Invariants for derived categories in prime characteristic” - AMS Special Session on Recent Developments in Commutative Algebra, Southeast Sectional, March 2023 - Slides.

“Generation of derived categories in prime characteristic” - Algebraic Geometry seminar, University of Utah, September 2022

“Generation of derived categories in prime characteristic” - Algebraic Geometry & Singularity theory workshop, University of Washington, June 2022