20 faculty and 36 courses in Mathematics at California Institute of Technology.
- Hiroshi Ooguri, Fred Kavli Professor of Theoretical Physics and Mathematics h-index 64
Quantum Field Theory, Quantum Gravity, String Theory Overview Ooguri studies quantum field theory, quantum gravity, and string theory. He explores mathematical structures in these theories and uses them to develop theoretical tools for sol
Notable: “Large N field theories, string theory and gravity” (2000) · 5,587 citations
- Anton N. Kapustin, Earle C. Anthony Professor of Theoretical Physics and Mathematics h-index 53
Theoretical Elementary Particle Physics, Condensed Matter Physics, String Theory (Mathematical Aspects) Overview Professor Anton Kapustin is a theoretical physicist. In the past, he has worked on particle physics, supersymmetric field theo
Notable: “Generalized global symmetries” (2015) · 1,703 citations
- Sergei Gukov, John D. MacArthur Professor of Theoretical Physics and Mathematics h-index 49
Mathematics and Machine Learning ( we are hiring ) Future of AI in Mathematics and Automated Theorem Proving Quantum Topology (see Quantum Topol. 12, 2021, 1 for a published version) geometric Langlands program (see Current Developments i
Notable: “Loop and surface operators in $ \mathcal{N} = 2 $ gauge theory and Liouville modular geometry” (2010) · 449 citations
- Matilde Marcolli, Robert F. Christy Professor of Mathematics and Computing and Mathematical Sciences h-index 28
Notable: “Gravity and the standard model with neutrino mixing” (2007) · 433 citations
- David Conlon, Professor of Mathematics h-index 26
Combinatorics and Number Theory Overview David Conlon is Professor of Mathematics at Caltech. Prof Conlon's principal research interests are in combinatorics and number theory, particularly Ramsey theory, extremal graph theory, additive co
Notable: “Combinatorial theorems in sparse random sets” (2016) · 179 citations
- Omer Tamuz, Professor of Economics and Mathematics h-index 25
Probability, Dynamics, Group Actions Overview Professor Omer Tamuz's research is in Probability and its many applications to Economics, as well as Dynamical Systems, Group Theory, and Ergodic Theory. He is also interested in Machine Learni
Notable: “Correcting systematic effects in a large set of photometric light curves” (2005) · 538 citations
- Nikolai Makarov, Richard Merkin Distinguished Professor of Mathematics h-index 21
Notable: “On the Distortion of Boundary Sets Under Conformal Mappings” (1985) · 287 citations
- Lingfu Zhang, Assistant Professor of Mathematics h-index 16
Probability theory, and its connections to mathematical physics, computer science, combinatorics, and statistics Overview Lingfu Zhang is an Assistant Professor in Mathematics at Caltech. His research is in the area of probability, and wit
Notable: “Metabolomics identifies serum and exosomes metabolite markers of pancreatic cancer” (2019) · 157 citations
- Yi Ni, Professor of Mathematics h-index 15
Low-dimensional geometry and topology Overview Yi works in Low Dimensional Geometry and Topology. His research focuses on Heegaard Floer homology and its applications, Gauge theory, Symplectic Geometry and Khovanov homology. He is also int
Notable: “Knot Floer homology detects fibred knots” (2007) · 204 citations
- Matthias Flach, Professor of Mathematics h-index 15
Arithmetic algebraic geometry, special values of L-functions (conjectures of Bloch, Beilinson, Deligne, Bloch-Kato), Galois module theory, motivic cohomology Overview Matthias' work is in Arithmetic Algebraic Geometry. In particular his re
Notable: “Tamagawa numbers for motives with (non-commutative) coefficients” (2001) · 172 citations
- Philip Isett, Professor of Mathematics h-index 10
Nonlinear PDE, Fluid Dynamics, Convex Integration Overview Philip Isett is a Professor of Mathematics at Caltech. His research focuses on partial differential equations, particularly solutions to the incompressible Euler equations of fluid
Notable: “Anomalous dissipation for 1/5-Hölder Euler flows” (2015) · 170 citations
- Antoine Song, Professor of Mathematics h-index 9
Differential Geometry, Geometric Analysis Overview Antoine Song is a professor of Mathematics at Caltech and a Sloan research fellow. His research interests lie broadly in Differential Geometry, Geometric Analysis, and Metric Geometry. Rec
Notable: “Equidistribution of minimal hypersurfaces for generic metrics” (2019) · 84 citations
- Huy Tuan Pham, Professor of Mathematics h-index 8
Probabilistic and extermal combinatorics, additive combinatorics and number theory, probability theory, theoretical computer science, statistical learning Overview Huy Tuan Pham is an Assistant Professor of Mathematics and Rosenberg Schola
Notable: “A rigorous framework for the mean field limit of multilayer neural networks” (2023) · 42 citations
- Elena Mantovan, Taussky-Todd-Lonergan Professor of Mathematics h-index 8
Arithmetic algebraic geometry, Shimura varieties, p-automorphic forms, moduli of abelian varieties, moduli of curves, local models, p-divisible groups Overview Elena works in Arithmetic Geometry and Number Theory. In particular, her resear
Notable: “On the cohomology of certain PEL-type Shimura varieties” (2005) · 62 citations
- Tony Yue Yu, Professor of Mathematics h-index 8
Algebraic geometry, enumerative geometry, mirror symmetry, birational geometry, non-archimedean geometry, tropical geometry, derived geometry, AI & machine learning Overview Professor Tony Yue YU is the pioneer of the field of non-arch
Notable: “The Frobenius structure theorem for affine log Calabi-Yau varieties containing a torus” (2023) · 21 citations
- Lin Lin, Professor of Mathematics (arriving 2026)
Es on solving quantum many-body problems via both classical and quantum algorithms. These algorithms are often valuable across various domains, including quantum chemistry, quantum physics, materials science, and quantum information theory.
- Thomas B. Graber, Professor of Mathematics
Algebraic geometry, Moduli Spaces, Gromov-Witten theory Overview Professor Thomas Graber is interested in the algebraic geometry of moduli spaces, with applications to numerical invariants of algebraic varieties, problems in birational geo
- Thomas M. Hutchcroft, Gordon and Betty Moore Professor of Mathematics
Probability Theory, Mathematical Physics, Group Theory, Ergodic Theory, and Metric Geometry Overview Professor Thomas Hutchcroft is a probability theorist working on phase transitions and critical phenomena. Professor Hutchcroft is particu
- Vesselin Dimitrov, Professor of Mathematics
Number Theory, Diophantine Geometry, and related problems from Algebraic Geometry, Representation Theory and Harmonic Analysis Overview Vesselin Dimitrov is a Professor of Mathematics at Caltech. Prof Dimitrov works in the field of number
- Yunqing Tang, Professor of Mathematics
Arithmetic Geometry, Number Theory Selected Awards AWM-Microsoft Research Prize, 2024 Sloan Research Fellowship, SASTRA Ramanujan Prize, 2022 Selected Publications For a complete publications list, see feeds.library.caltech.edu C
Faculty counts are directory headcounts; the named list may be a subset. h-index shown only for ORCID-backed or high-confidence OpenAlex matches. Data as of 2026-07-02.