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Mathematics

D-Index
71
Citations
16659
World Ranking
260
National Ranking
144

Research.com Recognitions

  • 2007 - Fellow of Alfred P. Sloan Foundation

Overview

Sergei Gukov is affiliated with the California Institute of Technology in the United States. Their research spans the intersecting fields of mathematics and physics, with a particular focus on geometry, topology, and mathematical physics.

Their primary fields of study include:

  • Mathematics (92 publications)
  • Physics and Astronomy (36 publications)

Key subfields of study encompass:

  • Geometry and Topology (48 publications)
  • Mathematical Physics (30 publications)
  • Nuclear and High Energy Physics (19 publications)
  • Discrete Mathematics and Combinatorics (9 publications)
  • Statistical and Nonlinear Physics (9 publications)

The main research topics covered are:

  • Homotopy and Cohomology in Algebraic Topology (50 publications)
  • Geometric and Algebraic Topology (44 publications)
  • Algebraic structures and combinatorial models (42 publications)
  • Black Holes and Theoretical Physics (32 publications)
  • Advanced Combinatorial Mathematics (18 publications)
  • Cosmology and Gravitation Theories (8 publications)
  • Nonlinear Waves and Solitons (8 publications)

Sergei Gukov's recent papers include:

  • "Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants," 2021, Journal of Geometry and Physics
  • "Learning to unknot," 2021, Machine Learning Science and Technology
  • "Sequencing BPS spectra," 2022, OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)
  • "BPS spectra and 3-manifold invariants," 2020, Journal of Knot Theory and Its Ramifications

Frequent co-authors collaborating with Sergei Gukov are:

  • Du Pei
  • Piotr Sułkowski
  • Pavel Putrov
  • Satoshi Nawata
  • Ingmar Saberi

Sergei Gukov's research has been published frequently in venues such as:

  • arXiv (Cornell University) with 20 publications
  • Journal of High Energy Physics (4 publications)
  • OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (4 publications)
  • Communications in Mathematical Physics (3 publications)
  • Journal of Geometry and Physics (2 publications)

Their book publications include:

  • Branes and DAHA Representations, published in 2023 by Springer Nature
  • Quantum Field Theory and Manifold Invariants, published in 2021 by IAS/Park City mathematics series

Sergei Gukov has received recognition including the award of Fellow of the Alfred P. Sloan Foundation in 2007.

Best Publications

  • CFT's from Calabi–Yau four-folds

    Sergei Gukov;Cumrun Vafa;Edward Witten

  • Loop and surface operators in N=2 gauge theory and Liouville modular geometry

    Luis F. Alday;Davide Gaiotto;Sergei Gukov;Sergei Gukov;Yuji Tachikawa

  • Gauge Theories Labelled by Three-Manifolds

    Tudor Dimofte;Davide Gaiotto;Sergei Gukov;Sergei Gukov

  • Gauge Theory, Ramification, And The Geometric Langlands Program

    Sergei Gukov;Edward Witten

  • Three-Dimensional Quantum Gravity, Chern-Simons Theory, and the A-Polynomial

    Sergei Gukov

  • 3-Manifolds and 3d Indices

    Tudor Dimofte;Davide Gaiotto;Sergei Gukov

  • Erratum to: “CFT's from Calabi–Yau four-folds”: [Nucl. Phys. B 584 (2000) 69]

    S. Gukov;C. Vafa;E. Witten

  • Vortex Counting and Lagrangian 3-manifolds

    Tudor Dimofte;Sergei Gukov;Sergei Gukov;Lotte Hollands;Lotte Hollands

  • The superpolynomial for knot homologies

    Nathan M. Dunfield;Sergei Gukov;Jacob Rasmussen

  • Solitons, superpotentials and calibrations

    Sergei Gukov;Sergei Gukov

  • 2d index and surface operators

    Abhijit Gadde;Sergei Gukov

  • Khovanov-Rozansky homology and topological strings

    Sergei Gukov;Albert Schwarz;Cumrun Vafa

  • Rigid Surface Operators

    Sergei Gukov;Edward Witten

  • Exact results for perturbative Chern-Simons theory with complex gauge group.

    Tudor Dimofte;Sergei Gukov;Jonatan Lenells;Don Zagier

  • Perturbative analysis of gauged matrix models

    Robbert Dijkgraaf;Sergei Gukov;Vladimir A. Kazakov;Cumrun Vafa

  • M theory and singularities of exceptional holonomy manifolds

    Bobby Samir Acharya;Sergei Gukov

  • Gauge theory at large N and new G2 holonomy metrics

    Andreas Brandhuber;Andreas Brandhuber;Jaume Gomis;Jaume Gomis;Steven S. Gubser;Steven S. Gubser;Steven S. Gubser;Sergei Gukov;Sergei Gukov;Sergei Gukov

  • Fivebranes and 4-Manifolds

    Abhijit Gadde;Sergei Gukov;Pavel Putrov

  • A-Polynomial, B-Model, and Quantization

    Sergei Gukov;Sergei Gukov;Piotr Sułkowski;Piotr Sułkowski

  • Branes and Quantization

    Sergei Gukov;Edward Witten

  • BPS spectra and 3-manifold invariants

    Sergei Gukov;Sergei Gukov;Du Pei;Du Pei;Pavel Putrov;Pavel Putrov;Cumrun Vafa

  • Domain walls and superpotentials from M-theory on Calabi–Yau three-folds

    Klaus Behrndt;Klaus Behrndt;Sergei Gukov;Sergei Gukov

Frequent Co-Authors

Cumrun Vafa
Cumrun Vafa Harvard University
Edward Witten
Edward Witten Institute for Advanced Study
Gregory W. Moore
Gregory W. Moore Rutgers, The State University of New Jersey
Andrew Strominger
Andrew Strominger Harvard University
Bobby Samir Acharya
Bobby Samir Acharya King's College London
Davide Gaiotto
Davide Gaiotto Perimeter Institute
Shing-Tung Yau
Shing-Tung Yau Tsinghua University
A. D. Mironov
A. D. Mironov P.N. Lebedev Physical Institute of the Russian Academy of Sciences
Hirosi Ooguri
Hirosi Ooguri California Institute of Technology
Johannes Walcher
Johannes Walcher Heidelberg University

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