PhD Student in Mathematics, Washington University in St. Louis
About
I am a PhD student in Mathematics at Washington University in St. Louis advised by John McCarthy. My research interests have an operator theoretic and complex analytic bent. My current projects are hyperbolic analytic curve/cofinite subalgebra duality and monomial operators.
Education
PhD in Mathematics — Washington University in St. Louis, Fall 2023 – present
Master's in Mathematics — Washington University in St. Louis, Spring 2025
B.S. in Mathematics (Philosophy minor) — University of New Mexico, Spring 2023
Presentations & Seminar Talks
WUSTL Analysis Seminar – Müntz–Szász Approximation Theorems, March 2026
DRP Instructor – Elementary Mathematics · Fall 2021
High-School DRP Instructor – Group Theory (using own notes) · Spring 2022
DRP Instructor – Naïve Lie Theory (Stillwell, entire book) · Spring 2022
DRP Instructor – Real Analysis (Stein & Shakarchi Ch. 1–2) and Intro to Integration (Bartle Ch. 1–6) · Summer 2022
Solution Writer – Math 312 (Differential Equations & Dynamical Systems) · Spring 2025
Grading & Tutoring
Tutor – Linear Algebra, Calculus I–III, High-School Algebra (2018–2020)
Grader – Math 322 (Abstract Algebra) · Fall 2020
Grader – Math 313 (Complex Analysis) · Spring 2023
Grader – Math 5021 (Graduate Complex Analysis I), Math 415 (PDEs) · Fall 2024
Grader – Math 5121 (Graduate Complex Analysis I), Math 5331 (Graduate Algebra I) · Fall 2025
Publications & Preprints
Nicolás Berkopec, J. Branch*, R. Heikkinen*, C. Nunn*, and T.A. Wong.
The Density of Elliptic Dedekind Sums.Acta Arith. 205 (2022), no. 1, 33–40.
[journal]
[arXiv]
Nicolás Berkopec, Sarah Poiani, and Janet Vassilev.
Properties of Pair Operations Inspired by Order.Submitted.
Service & Outreach
Initiated expansion of the Directed Reading Program for high-school students in New Mexico (Spring 2022)
Undergraduate representative and co-founder of the UNM Math DRP (Fall 2021)