About
Don't underestimate the joy of a midnight bagel!– Rebecca Bunch, CxG Episode 1.12
Professional Identity

I am a Professor in the Mathematics Department at the University of Georgia.

My mathematical apprenticeship began in the late 90s as a student at the (amazing) Ross Mathematics Program. In 2018 and 2019 I had the privilege of teaching in China at the Ross/Asia Program. In 2020 and 2021, I was an instructor for the online Ross Program. The Ross Program resumed in-person instruction in 2022, and I was one of the lecturers at the Columbus, OH camp that summer. In 2023 and 2024, I taught at the Indiana branch of the program.

I am a proud member of the MAA, AMS, AMR, AWM, and HxA.

Curriculum Vitae

Research Interests

My research interests are in number theory, especially when attached to the adjectives elementary, analytic, and combinatorial. My thesis, written under the supervision of Carl Pomerance, concerns the arithmetic of polynomials over finite fields. Much of my recent work focuses on the value distribution of arithmetic functions and statistical questions concerning algebraic objects.

Teaching (Fall 2024)
Previous Graduate Students
Books

  • Not Always Buried Deep: A Second Course in Elementary Number Theory

    Published by the American Mathematical Society (2009). Now available free for download by permission of the AMS.

    Download Errata Purchase

  • A Conversational Introduction to Algebraic Number Theory: Arithmetic Beyond $\mathbb{Z}$

    American Mathematical Society (2017). Author's draft available for download by permission of the AMS.

    Download Errata Purchase

  • Steps into Analytic Number Theory (w/ A. Singha Roy)

    Springer, Problem Books in Mathematics (2021)

    In Summer 2019, I taught a five-week IBL course on analytic number theory to advanced participants at the Ross/Asia Summer Mathematics Program. This book collects the problem sets and adds complete solutions, coauthored with Akash Singha Roy (CMI undergraduate).

    Preface/TOC Sample Purchase

  • Unreal Analysis: Visions of the $p$-adic Realm

    Ross Mathematics Program Foundation (2024)

    Problem-based introduction to the theory of $p$-adic numbers. Based on an Advanced Course taught at the 2024 Ross Indiana program. Report typos as issues at the github repo.

    Download Purchase