Vladyslav Zveryk's homepage

I am a second-year Ph.D. student at Yale University. My advisor is Igor Frenkel. I received my Master's degree in Mathematics at Jagiellonian University in Krakow under the supervision of Jacinta Perez Gavilan Torres.

My primary area of research is representation theory. I am interested in the geometric representation theory of the center at the critical level, vertex algebras, root multiplicities of Kac-Moody Lie algebras, quiver representations, crystal bases, and the Langlands program. I am passionate about studying interactions between various areas of mathematics in representation theory.

CV.

Coursework.

Contact: vladyslav.zveryk@yale.edu

Publications

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.

Preprints

Stabilization of Kac polynomials along root strings. ArXiv 2505.05439, 2025.

Surveys and theses

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.