Sergei Gukov
Sergei Gukov
John D. MacArthur Professor of Theoretical Physics and Mathematics
B.S., Moscow Institute of Physics and Technology, 1997; M.S., Princeton University 2001; Ph.D., 2001. Associate Professor, Caltech, 2005-07; Professor, 2007-21; MacArthur Professor, 2021-.
Overview
Research Interests:
- 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 in Mathematics 2006, 2008, 35 for a published version)
- gauge theory (see ATMP 27, 2023, no.2 for a published version)
- Rozansky-Witten geometry of Coulomb branches (see J. Geom. Phys. 168, 2021, 104311 for a published version)
- categorification of knot and 3-manifold invariants (see Exp. Math. 15, 2006, 129 and J. Knot Theor. Ramifications 29, 2020, 2040003)
- KLR algebras, DAHA, and (logarithmic) vertex algebras
- Mathematical physics
Seminars:
- I run a seminar on Mathematics and Machine Learning: 2-3pm on Tuesdays in East Bridge Conference room 114
Recent Events:
- plenary talk at the First International Congress of Basic Science (ICBS)
- Public Lecture at String Math 2023: Will AI disrupt the way we do mathematical research?
Editorial Boards
Selected Awards
- Frontiers of Science Award in Mathematics, 3d modularity, 2026
- Frontiers of Science Award in Mathematics, 2025
Selected Awards
- Frontiers of Science Award in Mathematics, 3d modularity, 2026
- Frontiers of Science Award in Mathematics, 2025
Caltech Affiliations
- Consulting Director, American Institute of Mathematics, 2024-present
- Director, Merkin Center for Pure and Applied Mathematics, 2022-present
Caltech Affiliations
- Consulting Director, American Institute of Mathematics, 2024-present
- Director, Merkin Center for Pure and Applied Mathematics, 2022-present
Professional Service
- Scientific Boards: American Institute of Mathematics (2014-2024) Centre for Quantum Mathematics
- Editorial Boards: Journal of Knot Theory and Its Ramifications, Letters in Mathematical Physics, Communications in Mathematical Physics
- Advisory Group on Artificial Intelligence and the Mathematical CommunityAMS, 2/1/2025 – 1/31/2027
Professional Service
- Scientific Boards: American Institute of Mathematics (2014-2024) Centre for Quantum Mathematics
- Editorial Boards: Journal of Knot Theory and Its Ramifications, Letters in Mathematical Physics, Communications in Mathematical Physics
- Advisory Group on Artificial Intelligence and the Mathematical CommunityAMS, 2/1/2025 – 1/31/2027
Related News
Read more newsRelated Courses
Ph 232. Introduction to Topological Field Theory.
9 units (3-0-6); third term, 2026-27.
Prerequisites: Ph 205.
Topological field theories are the simplest examples of quantum field theories which, in a sense, are exactly solvable and generally covariant. During the past twenty years they have been the main source of interaction between physics and mathematics. Thus, ideas from gauge theory led to the discovery of new topological invariants for 3-manifolds and 4-manifolds. By now, topological quantum field theory (TQFT) has evolved into a vast subject, and the main goal of this course is to give an accessible introduction to this elegant subject.
Instructor: Gukov
Instructor: Gukov