Dr. Stephen Smale

Professor

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Biography

Stephen Smale is a Professor Emeritus at the University of California, Berkeley, appointed in 1960 and reappointed in 1964 after a brief departure. He retired in 1994. His research interests include algorithms, numerical analysis, and global analysis. Throughout his career, Smale has been influential in various fields, especially in mathematics relating to learning theory and statistical methods. He has numerous publications that delve into topics such as online learning, risk bounds for random regression, and emergent behaviors in flocks. Smale's work has significantly impacted the understanding and development of these mathematical areas, showcasing his expertise and contributions to the field. His selected publications include collaborative work with notable scholars, highlighting his active role in advancing mathematical knowledge and interdisciplinary research. He is recognized as a leading figure in mathematical research, and his legacy continues through his contributions to academia and beyond.

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.