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Mathematics PhD,
Phone: +1 (810) 931 - 0543
Email: bensavoie163@gmail.com
Office: BICMR, 32
Since September 2025, I have been a Boya Postdoctoral Fellow at the Beijing International Center for Mathematical Research at Peking University, where my mentor is Ruochuan Liu. I received my Ph.D. in Mathematics from Rice University in May 2025 under the supervision of Brandon Levin.
I am a number theorist working in arithmetic geometry and the representation theory of Galois groups. One part of my research concerns mod p Galois representations and the geometry of the Emerton–Gee stack, a moduli stack that plays a central role in the categorical p-adic Langlands program. In particular, I study the geometry and singularities of its irreducible components. I also work on explicit mod p Satake transforms and related questions in mod p representation theory.
A second part of my research concerns elliptic curves, especially the Selmer groups and ranks of families of curves over number fields. I am interested in translating arithmetic questions into more explicit algebraic and combinatorial terms, including unexpected connections between quadratic reciprocity, graph theory, and the rational points on elliptic curves.
My teaching experience ranges from college algebra and calculus to algebraic number theory and scheme theory. I am particularly interested in mentoring undergraduate students and in presenting current research in a form accessible to a broad mathematical audience.
Current version of my CV
Papers
Infinitely many elliptic curves over Q(i) with rank 2 and j-invariant 1728
Ben Savoie. (2025) Preprint.
A graph-theoretic approach to computing Selmer groups of elliptic curves y² = x³ + bx over Q(i)
Anthony Kling, Ben Savoie. (2024) Preprint.
Non-generic components of the Emerton-Gee stack for GL₂
Kalyani Kansal, Ben Savoie. (2024) Preprint.
Smoothness of components of the Emerton-Gee stack for GL₂
Anthony Guzman, Kalyani Kansal, Iason Kountouridis, Ben Savoie and Xiyuan Wang. (2024) Transactions of AMS, pdf.
Invited Talks
p-adic Langlands program Seminar
October, 2025
Morningside Center of Mathematics, Chinese Academy of Sciences, Beijing, China
p-adic Day
September, 2025
Beijing International Center for Mathematical Research, Beijing, China
Johns Hopkins Junior Number Theory Days
February, 2025
Johns Hopkins University, Baltimore, MD
Algebra and Number Theory Seminar
November, 2024
University of Arizona, Tucson, AZ
Representation Theory and Number Theory Seminar
October, 2024
University of Utah, Salt Lake City, UT
Automorphic forms and Representation Theory Seminar
October, 2024
Purdue University, West Lafayette, IN
Algebra Seminar
September, 2024
University of Arkansas, Fayetteville, AR
Algebraic Geometry and Number Theory Seminar
September, 2024
Rice University, Houston, TX
Summer School on Galois Representations and Reciprocity
June, 2024
Vietnam Institute for Advanced Study in Mathematics, Hanoi, Vietnam
Teaching
The following courses were taught at Rice University.
Fall 2024: Graduate TA, Math 354 Honors Linear Algebra
Spring 2024 Graduate TA, Math 567 Foundations of Scheme Theory
Fall 2023: Graduate TA, Math 354 Honors Linear Algebra
Spring 2023: Graduate TA, Math 355 Linear Algebra
Fall 2022: Graduate TA, Math 566 Algebraic Number Theory
The following courses were taught at the University of Arizona.
Spring 2022: Instructor of Record, Math 122B Calculus 1
Fall 2021: Instructor of Record, Math 116 Business Calculus
Spring 2021: Instructor of Record, Math 122B Calculus 1
Fall 2020: Instructor of Record, Math 122B Calculus 1
Spring 2020: Instructor of Record, Math 116 Business Calculus
Fall 2019: Instructor of Record, Math 112 College Algebra
Spring 2019: Graduate TA, Math 100
Fall 2018: Graduate TA, Math 100
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