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.


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, Journal für die Reine und Angewandte Mathematik 785 (2022), 219–272.

Here are the arXiv versions of my papers.

Invited Talks

Caltech Algebra & Geometry Seminar - May 16, 2022
MIT Lie Groups Seminar - April 6, 2022
UCLA Number Theory Seminar - March 7, 2022
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


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.


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.