Research

Research Papers 

• An Isomorphism Theorem for Arithmetic Complexes https://arxiv.org/abs/2309.17416

We consider generalizations of certain arithmetic complexes appearing in work of Raicu and VandeBogert in connection with the study of stable sheaf cohomology on flag varieties. Defined over the ring of integer valued polynomials, we prove an isomorphism of these complexes as conjectured by Gao, Raicu, and VandeBogert. In particular, this gives a more conceptual proof of an identification between the stable sheaf cohomology of hook and two column partition Schur functors applied to the cotangent sheaf of projective space. 

Talks

• (Upcoming) Special Session on Group Actions in Commutative Algebra at Joint Mathematical Meeting. (January 2024)

• Notre Dame Algebraic Geometry and Commutative Algebra Seminar (October 2023)