Dr. Joel Tropp

Professor

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Biography

Joel Tropp is the Steele Family Professor of Applied Computational Mathematics at the California Institute of Technology. His research interests lie at the interface of applied mathematics, electrical engineering, computer science, and statistics. Tropp focuses on developing practical, rigorously justified algorithms for solving core computational problems in linear algebra, numerical analysis, and optimization. He creates user-friendly theoretical tools based on high-dimensional probability and matrix analysis, and is known for significant contributions including matching pursuit algorithms, randomized singular value decomposition algorithms, and matrix concentration inequalities. His work has also explored statistical phase transitions in data science contexts.

Research Interests

Courses

Probability Theory Topics in Linear Algebra Advanced Topics in Probability Stochastic Processes

Requirements for California Institute of Technology

Doctorate Program
Requirements
TOEFL
Total
Required:100
IELTS
Overall
Required:7
Prerequisites
Bachelor's degree or equivalent Strong background in mathematics and physical sciences
Application Checklist
  • Online Application
  • Statement of Purpose
  • Three Letters of Recommendation
  • Transcripts
  • Resume/CV
Specialization Notes

Most Caltech graduate programs are PhD-only. GRE General and Subject tests vary by department; many have made them optional or no longer accept them.