Dr. Ilia Nekrasov

Instructor

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Biography

Ilia Nekrasov is a Morrey Visiting Assistant Professor in the Department of Mathematics at the University of California, Berkeley. He was appointed in 2024 and focuses on various areas within representation theory and its applications. His research interests include representation stability, tensor categories, oligomorphic groups, and ω-categorical structures. Nekrasov is committed to advancing the understanding of these concepts through both teaching and research. His academic contributions are significant in the mathematical community, and he actively engages in collaborative research and education initiatives. As he continues his work at Berkeley, he aims to inspire and mentor students while contributing to the field through innovative research.

Research Interests

Representation Theory Representation Stability Tensor Categories Oligomorphic Groups ω-Categorical Structures

Requirements for University of California, Berkeley

Doctorate Program
Requirements
GPA Requirement
Required:3
GRE Subject
Overall Score
Required:500
Overall
Required:500
TOEFL
Total
Required:90
IELTS
Overall
Required:7
Prerequisites
Bachelor's degree or recognized equivalent Preparation comparable to undergraduate major at Berkeley in Mathematics or Applied Mathematics 2 full years lower-division work (Calculus, Linear Algebra, Differential Equations, Multivariable Calculus) 8 one-semester upper-division courses (Real Analysis, Complex Analysis, Abstract Algebra, Linear Algebra)
Application Checklist
  • Graduate Application
  • Statement of Purpose
  • Personal History Statement
  • Three Letters of Recommendation
  • Unofficial Transcripts
  • C.V./Resume
  • Course and Textbook List
Specialization Notes

The Mathematics Subject GRE is required for the Fall 2026 admissions cycle. General GRE is optional.