Email: robert[dot]cass[at]claremontmckenna[dot]edu
I am an Assistant Professor of Mathematics at Claremont McKenna College.
I received my Ph.D. in mathematics from Harvard University in 2021, advised by Mark Kisin.
I was an NSF postdoc at Caltech from 2021–2022, and an NSF and RTG postdoc at the University of Michigan from 2022–2025.
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 and motivic homotopy theory.
Exponential motives on the affine Grassmannian (with Thibaud van den Hove and Jakob Scholbach), Preprint.
Mod p sheaves on Witt flags (with João Lourenço), Preprint.
Central motives on parahoric flag varieties (with Thibaud van den Hove and Jakob Scholbach), Accepted in Journal of the European Mathematical Society.
Geometrization of the Satake transform for mod p Hecke algebras (with Yujie Xu), Forum of Mathematics, Sigma 13 (2025), e26.
The geometric Satake equivalence for integral motives (with Thibaud van den Hove and Jakob Scholbach), Compositio Mathematica 161 (2025), 2755–2851.
Constant term functors with 𝔽p-coefficients (with Cédric Pépin), Documenta Mathematica 29 (2024), 343–397.
Central elements in affine mod p Hecke algebras via perverse 𝔽p-sheaves, Compositio Mathematica 157 (2021), 2215–2241.
Perverse 𝔽p-sheaves on the affine Grassmannian, Journal für die Reine und Angewandte Mathematik 785 (2022), 219–272.
The Chowla–Selberg formula for quartic Abelian CM fields, Code, Proceedings of the American Mathematical Society 144 (2016), 2753–2769.
Here are the arXiv versions of my papers.
In Fall 2024, I co-organized an RTG Learning Seminar on Bezrukavnikov's equivalence.
In 2021–2022, I co-organized the Caltech Algebra & Geometry Seminar.
In 2020–2021, I co-organized the Harvard Number Theory Seminar.
Claremont McKenna College
Spring 2026 – Math 175 Number Theory, Math 32 Calculus III
Fall 2025 – Math 32H Honors Calculus III, Math 31 Calculus II
University of Michigan
Spring 2025 – Math 776 Class Field Theory and Complex Multiplication
Fall 2024 – Math 312 Applied Modern Algebra
Fall 2023 – Math 217 IBL Linear Algebra (two sections)
Harvard
Spring 2021 – Math 21B Linear Algebra and Differential Equations
Fall 2018 – Math MA Introduction to Functions and Calculus I
Hurwitz schemes – my minor thesis