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Mathematics PhD,
Phone: +1 (810) 931 - 0543
Email: bensavoie163@gmail.com
Office: Herman Brown Hall 50
I earned my PhD in Mathematics from Rice University in April 2025 under Brandon Levin. In September 2025, I’ll begin a three-year postdoctoral appointment at the Beijing International Center for Mathematical Research of Peking University.
My research interests are in algebraic number theory and arithmetic geometry. I am currently working on the emerging categorical p-adic Langlands program; in particular, I am studying the geometry of the moduli stack of mod p 2-dimensional Galois representations. I am also working on an algorithm which uses graph theory to compute Selmer groups of certain elliptic curves over the Gaussian integers.
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
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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