Dr. Joel Tropp

Professor

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Biography

Joel Tropp is the Steele Family Professor of Applied and Computational Mathematics at the California Institute of Technology. He has made significant contributions in applied mathematics, machine learning, data science, numerical algorithms, and random matrix theory. Some of his most notable work includes matching pursuit algorithms, randomized singular value decomposition algorithms, matrix concentration inequalities, and insights into statistical phase transitions. Tropp earned his Ph.D. in Computational Applied Mathematics in 2004, joining Caltech in 2007. His research has garnered him recognition as a Highly Cited Researcher from 2014 to 2018 and he is a co-founder of the SIAM Journal on Mathematics of Data Science, serving as co-chair for the inaugural SIAM Conference on Mathematics of Data Science in 2020. He has also been elected as a fellow of several esteemed organizations including SIAM, IEEE, IMS, and AMS. In 2025, he received the Richard P. Feynman Prize for Excellence in Teaching at Caltech and is an invited speaker for the 2026 International Congress of Mathematicians.

Research Interests

Experience

Steele Family Professor

2007-01-01 — Present

California Institute of Technology • Pasadena, CA

Professor in the field of Applied and Computational Mathematics.

Awards

#

PECASE

2008-01-01
#

Richard P. Feynman Prize

2025-01-01

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.