Dr. Joshua Frisch

Assistant Professor

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Biography

Joshua Frisch earned his Ph.D. in Mathematics from the California Institute of Technology in 2021. His research focuses on the interactions between group theory and dynamical systems, utilizing tools from combinatorics, logic, and probability. His particular research topics include random walks on groups, ergodic theory, topological dynamics, and descriptive set theory. He is particularly fascinated by how group-theoretic restrictions can give rise to dynamical properties, and conversely, how the properties of a dynamical system can reflect the acting group. Prior to his position at UC San Diego, he was an NSF Postdoctoral Fellow at the École normale supérieure.

Research Interests

Group Theory Dynamical Systems Combinatorics Logic Probability Random Walks on Groups Ergodic Theory Topological Dynamics Descriptive Set Theory

Requirements for University of California, San Diego

Doctorate Program
Requirements
GPA Requirement
Required:3
TOEFL
Total
Required:85
IELTS
Overall
Required:7
Duolingo
Overall Score
Required:120
Overall
Required:120
Prerequisites
Bachelor's degree in physical, biological, or earth sciences, mathematics, or engineering. Differential and integral calculus. One year of calculus-based physics with laboratory. One year of chemistry with laboratory.
Application Checklist
  • Statement of Purpose (max 2 pages)
  • Unofficial transcripts
  • Three letters of recommendation
  • Curriculum Vitae (CV)
  • Application fee ($135 domestic / $155 international)
Specialization Notes

Administered by the Scripps Institution of Oceanography. Curricular groups include Climate-Ocean-Atmosphere (COAP), Geosciences (GEO), and Ocean Biosciences (OBP).