Dr. George Bergman

Professor

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Biography

George M. Bergman is a Professor Emeritus at the University of California, Berkeley, where he has been part of the Department of Mathematics since 1967. He retired in 2009, having contributed extensively to the field of mathematics with a focus on associative rings, universal algebra, and category theory. Bergman is well known for his research publications in highly specialized journals, such as the Journal of Algebra and Illinois Journal of Mathematics, covering topics including infinite direct sums of modules, embeddability of rings, and generating infinite symmetric groups. He has also authored a significant textbook, 'Invitation to General Algebra: Universal Constructions', which is widely referenced in the field. Throughout his career, he has been involved in various teaching and research roles, leaving a lasting impact on the mathematical community. His scholarly work continues to influence new generations of mathematicians and researchers.

Research Interests

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.