معرفی
Karol Koziol is an Assistant Professor in the Mathematics Department at Baruch College, City University of New York (CUNY), where his office is located in the Newman Vertical Campus. His research focuses on various aspects of the (local) Langlands Program, specifically representation theory of p-adic reductive groups, associated Hecke algebras, and Galois representations. His work is partially supported by NSF grant DMS-2310225.
Dr. Koziol's academic journey includes:
- Ph.D. from Columbia University under Rachel Ollivier
- Undergraduate degree from NYU
- NSF Postdoctoral Fellowship at University of Toronto with Florian Herzig
- EPDI Postdoctoral Fellowship at Institut des Hautes Études Scientifiques and Max Planck Institute
- Postdoctoral positions at University of Michigan and University of Alberta
His research bridges algebra, number theory, and representation theory with significant contributions to understanding modular representations of p-adic groups. Dr. Koziol's work examines supersingular representations, Hecke module structures, and cohomological aspects of representation theory in characteristic p, advancing knowledge in the modular local Langlands correspondence.
Analysis of his publications reveals consistent focus on representation theory of p-adic groups across multiple dimensions: structural properties of Hecke algebras, cohomological behavior of representations, classification problems for specific group types, and connections to broader Langlands program objectives. His collaborative work with leading mathematicians demonstrates strong integration within the international research community.
As an educator, Dr. Koziol teaches Elementary Probability (Math 3120) and Graph Theory (Math 4140) at Baruch College. He has mentored multiple undergraduate researchers through REU programs on topics including modular representations of division algebras and quaternion algebras, often collaborating with other prominent mathematicians like Tasho Kaletha and Charlotte Chan.
Dr. Koziol actively contributes to the mathematical community through organizational roles including:
- Co-organizing the Baruch Distinguished Lecture Series
- Co-founding the CARTOON (Cross Atlantic Representation Theory and Other topics ONline) conference
- Participating in POINT: New Developments in Number Theory
- Contributing to MANTIS 2021 and other specialized workshops
- Preparing materials for the 2025 Arizona Winter School
