Dr. Morris Hirsch

Professor

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Biography

Morris W. Hirsch, a Professor Emeritus in the Department of Mathematics at the University of California, Berkeley, has made significant contributions to the field of dynamical systems, particularly in connection with competitive dynamical systems and monotone dynamical systems. Appointed in 1960 and retiring in 1992, Hirsch's work includes several influential publications that address key problems in the theory of dynamical systems. His selected publications demonstrate a strong focus on existence and uniqueness in dynamical systems, as well as on the behavior of strongly order-preserving semiflows. Hirsch's research has implications not only in mathematics but also in fields such as biology, where dynamical models are essential for understanding complex systems. His collaborations with other notable mathematicians have furthered the understanding of monotone maps and asymptotic stability in dynamical systems. Throughout his career, Hirsch has been recognized for his scholarly contributions and mentoring of students in the mathematical sciences.

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.