I am a fifth-year graduate student in the Department of Mathematics at Harvard University. I expect to graduate in 2021. My advisor is Mark Kisin.
My research interests include the Langlands program and related topics in algebraic geometry and representation theory. I am particularly interested in the application of ideas from the geometric Langlands program toward the p-adic Langlands program.
I completed my B.S. in mathematics at the University of Kentucky in 2016.
In 2020-2021 I am organizing the Harvard Number Theory Seminar with Fabian Gundlach.
Central elements in affine mod p Hecke algebras via perverse F_p-sheaves, Preprint, 2020.
Perverse F_p-sheaves on the affine Grassmannian, Preprint, 2019.
Here are the arXiv versions of my papers.
UCLA Number Theory Seminar - March 1, 2021
University of Münster Arithmetic Geometry Seminar - December 8, 2020
University of Maryland Lie Groups and Representation Theory Seminar - September 14, 2020
Harvard Number Theory Seminar - September 9, 2020
Recent Advances in Modern p-Adic Geometry (RAMpAGe) Seminar - August 20, 2020
Representations of p-adic groups and Langlands correspondences at the CMS 75th Anniversary Summer Meeting in Ottawa, Canada - June 5-8, 2020 (postponed due to COVID-19)
Motives and Representation Theory at the University of Münster - June 2-5, 2020 (postponed due to COVID-19)
Graduate Student Plenary Speaker at Number Theory Series in Los Angeles II, Occidental College - February 8, 2020
University of Michigan Algebraic Geometry Seminar - February 5, 2020
Institut de Recherche Mathématique de Rennes, Séminaire de Géométrie Arithmétique - December 19, 2019
L'Institut Galilée, Paris 13, Séminaire de Géométrie Arithmétique et Motivique - December 13, 2019
Yale Algebra and Number Theory Seminar - December 3, 2019
MSRI Hot Topics Workshop: Recent Progress In Langlands Program - April 8, 2019
Clemson University Algebraic Geometry and Number Theory Seminar - March 24, 2015
Matehmatics 21B: Linear Algebra and Differential Equations - Spring 2021
Mathematics MA: Introduction to Functions and Calculus I - Fall 2019
I received a Certificate of Distinction for this course.
Hurwitz schemes - my minor thesis
Here are some papers from my undergraduate years.