Nicolás Berkopec

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 with recent attention to hyperbolic analytic curves and cofinite subalgebras associated with Riemann surfaces.

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 – Hyperbolic Analytic and Algebraic Curves, Sept 2025
• WUSTL Szegö Seminar – Dirichlet’s Theorem: A Gem from Number Theory, Apr 2024
• UNM Algebra–Geometry Seminar – p-Derivations, Jet Operators, Ring Schemes, May 2022
• Young Mathematicians Conference – Elliptic Dedekind Sums, Aug 2021
• UNM Algebra–Geometry Seminar – Elliptic Dedekind Sums, Aug 2021
• MAA MathFest – Elliptic Dedekind Sums, Aug 2021
• SUMMR Conference – Elliptic Dedekind Sums, Jul 2021

Teaching

• 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

1. 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]
2. 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)