I am a second-year Ph.D. student at Yale University. My advisor is Igor Frenkel. I received my Bachelor's and Master's degrees in Mathematics at Jagiellonian University in Krakow under the supervision of Jerzy Weyman and Jacinta Perez Gavilan Torres, respectively.
My primary area of research is representation theory. I am interested in root multiplicities of Kac-Moody Lie algebras, vertex algebras, automorphic forms, and quiver varieties.
CV.
Contact: vladyslav.zveryk@yale.edu
Graphs of Hecke operators in mixed ramification (with Rudrendra Kashyap). ArXiv 2605.13824, 2026.
Eigenforms and graphs of Hecke operators with wild ramification (with Rudrendra Kashyap). ArXiv 2603.15931, 2026.
Stabilization of Kac polynomials along root strings. ArXiv 2505.05439, 2025.
Dynkin Automorphism Actions on Gaudin Algebras. Transformation Groups (2025). https://doi.org/10.1007/s00031-025-09916-0. ArXiv link: 2311.11872.
A Combinatorial Proof of Simplified Kollár’s Theorem on Pell’s Equation (with A. A. Chilikov, I. Efremov, N. Khomich). Mathematical Notes vol. 107 (2020), 867–871, DOI: 10.1134/S000143462005017X.
Master thesis: Atomic decomposition of crystals via diagram automorphisms, Jagiellonian University in Krakow, 2024. Advisor: Jacinta Perez Gavilan Torres.
Bachelor thesis: On the Killing cycles process in a Koszul complex, Jagiellonian University in Krakow, 2022. Advisor: Jerzy Weyman.
The Method of Moving Points, a maths olympiad article, 2019.
Math 225 "Linear algebra", Office hours and make-up sessions, Spring 2026.
Math 112 "Introduction to Functions and Calculus II", Office hours and exercise sessions, Spring 2025.
Quivers and Their Representations, a mini-course at Mathematical Seminar in Farum, February 10 - 18, 2024.
Notes, exercises
Introduction to Representation Theory, a one-semester mini-course of lectures at Jagiellonian University, March - May, 2023.
Notes, exercises (in Polish)
Introduction to Category Theory, a one-semester mini-course of lectures at Jagiellonian University, October 2021 - January 2022.
Exercises (in Polish)
Finite Fields in Number Theory, lectures at the international camp ,,Maths Beyond Limits” for High School students, September 2021.
Notes and exercises with solutions