Sergei Gukov

John D. MacArthur Professor of Theoretical Physics and Mathematics

Contact information for Sergei Gukov
Contact Method	Value
Mail Code:	MC 452-48
Office:	448 Lauritsen Laboratory (48)
Phone:	626-395-6688
Email:	[email protected]

Research Website

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-.

Research Areas: Physics; Mathematics

Research Interests:

Mathematics and Machine Learning (we are hiring!)
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

Flying

Courses

Ma 146 ab. Introduction to Knot Theory and Quantum Topology. 9 units (3-0-6): first, second terms. Prerequisites: Ma 109 or equivalent. Part a offers an introduction to knot theory: the problem of classification of knots, different knot types, basic (classical) invariants, and some elements of knot concordance. Part b moves from classical to quantum invariants: the Jones polynomial, colored Jones polynomial, and then more general quantum group invariants of knots and 3-manifolds. Part b also includes introduction to R-matrices, the Yang-Baxter equation, the Drinfeld-Kohno theorem and, if time permits, elements of categorification. Instructor: Gukov.