Director, Merkin Center for Pure and Applied Mathematics

Consulting Director, American Institute of Mathematics

John D. MacArthur Professor of Theoretical Physics and Mathematics at California Institute of Technology

Address:
Caltech 452-48,
Pasadena, CA 91125

Phone: (626) 395-6688
Fax: (626) 568-8473
Email: gukov_at_math.caltech.edu

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Research interests (and some representative papers)

• 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

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Teaching

• Ma 146ab: Introduction to Knot Theory and Quantum Topology, TTh 10:30 - 11:55, Linde 387

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Seminars

• I run a seminar on Mathematics and Machine Learning: 2-3pm on Tuesdays in East Bridge Conference room 114

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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?

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Editorial boards

• Journal of Knot Theory and Its Ramifications
• Communications in Mathematical Physics
• Letters in Mathematical Physics

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Flying

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