Robert Cass

Email: rcass[at]caltech[dot]edu

Since Fall 2021 I am an NSF Postdoctoral Scholar at Caltech. My sponsor is Xinwen Zhu.

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 received my Ph.D. in mathematics at Harvard University in 2021. My advisor was Mark Kisin. I completed my B.S. in mathematics at the University of Kentucky in 2016.


Research

Constant term functors with F_p-coefficients (with Cédric Pépin), Preprint, 2021.

Central elements in affine mod p Hecke algebras via perverse F_p-sheaves, Compositio Mathematica 157 (2021), 2215-2241.

Perverse F_p-sheaves on the affine Grassmannian, accepted in Journal für die reine und angewandte Mathematik.

Here are the arXiv versions of my papers.


Invited Talks

Motives and Representation Theory at the University of Münster and Sydney - September 28, 2021
Representations of p-adic groups and Langlands correspondences at the CMS 75th +1 Anniversary Summer Meeting in Ottawa, Canada - June 8, 2021
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
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


Seminars

In 2021-2022 I am organizing the Caltech Algebra & Geometry Seminar with Abhishek Oswal.

In 2020-2021 I organized the Harvard Number Theory Seminar with Fabian Gundlach.


Teaching

At Harvard:
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 each of these courses.


Expository Writing

Hurwitz schemes - my minor thesis


Here are some papers from my undergraduate years.