I'm a fifth year math PhD student at UC San Diego. My advisor is Claus Sorensen.
I’m broadly interested in algebraic number theory and p-adic representation theory. More specifically, I’m interested in studying mod p representations of p-adic reductive groups and computing their cohomology groups, possibly arising from computations involving Lie algebra cohomology, as well as understanding Hecke algebras associated to Serre weights of such p-adic reductive groups.
I'm on the job market! Here's my (extended) research statement, and here's my (extended) teaching statement.
Previously, I was:
• an undergraduate at UC Berkeley.
Casey Perdue
caseyperdue at ucsd dot edu
PhD Candidate
Department of Mathematics
University of California San Diego
9500 Gilman Drive #0112
La Jolla, CA 92093
Publications and Preprints
Preprints- On the saturability of p-adic Lie groups, preprint.
- Higher mod p Satake transforms: Explicit formulas and images for GL2, preprint. Joint work with Hargun Bhatia, Yashi Jain, and Ben Savoie.
Teaching
Courses I've been the instructor for-
• Summer II 2026: Math 20C - Calculus and Analytic Geometry for Science and Engineering. Course syllabus.
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• Fall 2026: Math 500 - Teaching Assistant Training, as a Senior TA.
• Spring 2026: Math 220C – Graduate Complex Analysis III.
• Winter 2026: Math 220B – Graduate Complex Analysis II.
• Fall 2025: Math 500 – Teaching Assistant Training, as a Junior TA.
• Summer I 2025: Math 142A - Introduction to Analysis I.
• Spring 2025: Math 109 – Mathematical Reasoning (Intro to Proofs).
• Winter 2025: Math 20C – Calculus and Analytic Geometry for Science and Engineering, as a Lead TA.
• Fall 2024: Math 20C – Calculus and Analytic Geometry for Science and Engineering, as a Lead TA.
• Summer II 2024: Math 10C – Calculus III.
• Spring 2024: Math 109 – Mathematical Reasoning (Intro to Proofs).
• Winter 2024: Math 20C – Calculus and Analytic Geometry for Science and Engineering, as a Lead TA.
• Fall 2023: Math 20C – Calculus and Analytic Geometry for Science and Engineering, as a Lead TA.
• Summer I 2023: Math 103A – Modern Algebra I.
• Spring 2023: Math 20E – Vector Calculus.
• Winter 2023: Math 240B – Graduate Real Analysis II.
• Fall 2022: Math 10B – Calculus II.
Other
Slides- On the saturability of p-adic Lie groups. Slides for 2026 adavancement to PhD candidacy.
- On the saturability of p-adic Lie groups. Poster presented at The Australian Direction 2026.
- On an inflation map for p-valued pro-p groups. Poster presented at MCA 2025; received honorable mention in poster competition.