I am a last year Master student in mathematics at Jagiellonian University in Krakow. My advisor is Jacinta Perez Gavilan Torres.
I am starting my Ph.D. studies at Yale University in August 2024.
My primary area of research is representation theory. I am interested in the geometric representation theory of the center at the critical level, Dynkin automorphisms of Kac-Moody Lie algebras, crystal bases, Langlands program, and quiver representations. I am passionate about studying interactions between differential and algebraic topology, symplectic geometry, and algebraic geometry in representation theory.
I am also interested in commutative and homological algebra, which I do as a hobby. One of my favorite theories in mathematics is the theory of finite free resolutions over commutative rings, and my favorite cohomology theory is local cohomology.
My CV.
My coursework.
Contact: vladyslav.zveryk@yale.edu
Publications and preprints
Master thesis: Atomic decomposition of crystals via diagram automorphisms, Jagiellonian University in Krakow, 2024. Advisor: Jacinta Perez Gavilan Torres.
Dynkin automorphism actions on Gaudin algebras. ArXiv 2311.11872, 2023.
Bachelor thesis: On the Killing cycles process in a Koszul complex, Jagiellonian University in Krakow, 2022. Advisor: Jerzy Weyman.
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.
The Method of Moving Points, a maths olympiad article, 2019.