skip to main content
Positions Available
Seminar Calendar
Resources
Find Resources
Room Reservations
Staff Resources (Internal)
Postdoc Resources (Internal)
PMA Student Programs Office
Teaching Assistant Resources
GWiPMA
PMA Newsletter
Division of Physics, Mathematics and Astronomy (PMA)
Department of Mathematics
Division of Physics, Mathematics and Astronomy
About
Open About submenu
Faculty & Postdoc Awards
Student Prizes & Awards
Contact
Opportunities
Giving
People
Open People submenu
Professorial Faculty
Emeritus Faculty
Research Faculty
Visiting Associates
Staff
Instructors
Postdoctoral Scholars
Graduate Students
Department Administration
Search People
Research
Open Research submenu
Research Areas
Open Research Areas submenu
Algebra
Algebraic Geometry
Analysis
Combinatorics
Geometry and Topology
Mathematical and Computational Linguistics
Mathematics and Machine Learning
Mathematical Logic
Mathematical Physics
Mathematical Structures in Quantum Physics
Noncommutative Geometry
Number Theory
Probability
Quantum Topology
String Theory (Mathematical Aspects)
Centers & Institutes
Recent Publications
Math Student Theses
Postdoctoral Opportunities
Academics
Open Academics submenu
Course Catalog (2025-2026)
Course Schedule & Weblinks
Undergraduate Studies
Graduate Studies
Caltech Honor Code
News
Events
Open Events submenu
Seminar Calendar
Seminars and Lecture Series
AIM Public Lecture Series
Merkin Center Events
LA Probability Forum
Caltech/USC Algebra & Geometry Seminar
Caltech Math Circle
AIM Newsletters
AIM Workshops
Search
Search
Menu
Close
About
Open About submenu
People
Open People submenu
Research
Open Research submenu
Academics
Open Academics submenu
News
Events
Open Events submenu
Positions Available
Seminar Calendar
Resources
Find Resources
Room Reservations
Staff Resources (Internal)
Postdoc Resources (Internal)
PMA Student Programs Office
Teaching Assistant Resources
GWiPMA
PMA Newsletter
Division of Physics, Mathematics and Astronomy (PMA)
About
Back
Faculty & Postdoc Awards
Student Prizes & Awards
Contact
Opportunities
Giving
People
Back
Professorial Faculty
Emeritus Faculty
Research Faculty
Visiting Associates
Staff
Instructors
Postdoctoral Scholars
Graduate Students
Department Administration
Search People
Research
Back
Research Areas
Algebra
Algebraic Geometry
Analysis
Combinatorics
Geometry and Topology
Mathematical and Computational Linguistics
Mathematics and Machine Learning
Mathematical Logic
Mathematical Physics
Mathematical Structures in Quantum Physics
Noncommutative Geometry
Number Theory
Probability
Quantum Topology
String Theory (Mathematical Aspects)
Centers & Institutes
Recent Publications
Math Student Theses
Postdoctoral Opportunities
Academics
Back
Course Catalog (2025-2026)
Course Schedule & Weblinks
Undergraduate Studies
Graduate Studies
Caltech Honor Code
Events
Back
Seminar Calendar
Seminars and Lecture Series
AIM Public Lecture Series
Merkin Center Events
LA Probability Forum
Caltech/USC Algebra & Geometry Seminar
Caltech Math Circle
AIM Newsletters
AIM Workshops
Search
Search
Home
/ Research /
Research Areas
/ Mathematical Physics
Mathematical Physics
Related Pages
Close
Research
Research Areas
Algebra
Algebraic Geometry
Analysis
Combinatorics
Geometry and Topology
Mathematical and Computational Linguistics
Mathematics and Machine Learning
Mathematical Logic
Mathematical Physics
Mathematical Structures in Quantum Physics
Noncommutative Geometry
Number Theory
Probability
Quantum Topology
String Theory (Mathematical Aspects)
Centers & Institutes
Recent Publications
Math Student Theses
Postdoctoral Opportunities
Research covers Schrodinger operators, random matrices.
Sergei Gukov
John D. MacArthur Professor of Theoretical Physics and Mathematics
Alexei Kitaev
Ronald and Maxine Linde Professor of Theoretical Physics and Mathematics
Eric M. Rains
Professor of Mathematics, Emeritus
Barry M. Simon
International Business Machines Professor of Mathematics and Theoretical Physics, Emeritus
Antoine Song
Professor of Mathematics
Tony Yue Yu
Professor of Mathematics
Lingfu Zhang
Assistant Professor of Mathematics