Gukov, Sergei

1. What makes math problems hard for reinforcement learning: a case study
   2024/08/27 by Ali Shehper, Shehper, Ali, Anibal M. Medina-Mardones +15 · 3 voices · 4 citations
   Computer Science · Mathematics · #Artificial Intelligence (cs.AI) #Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #Machine Learning (cs.LG) #cs.AI #cs.LG #math.CO #math.GR #math.GT
2. Gauge Theory, Ramification, And The Geometric Langlands Program
   2006/12/08 by Sergei Gukov, Edward Witten, Gukov, Sergei +1 · 14 citations
   Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th)
3. 3-Manifolds and 3d Indices
   2011/12/21 by Tudor Dimofte, Dimofte, Tudor, Davide Gaiotto +3 · 15 citations
   Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)
4. BPS spectra and 3-manifold invariants
   2017/01/23 by Gukov, Sergei, Pei, Du, Putrov, Pavel +1 · 14 citations
   #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA)
5. Gauge Theories Labelled by Three-Manifolds
   2011/08/22 by Tudor Dimofte, Dimofte, Tudor, Davide Gaiotto +3 · 11 citations
   Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)
6. A two-variable series for knot complements
   2019/04/12 by Gukov, Sergei, Manolescu, Ciprian · 10 citations
   #57M25 #57M27 #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA)
7. Rigid Surface Operators
   2008/04/09 by Sergei Gukov, Edward Witten, Gukov, Sergei +1 · 6 citations
   Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons
8. Topological Quantum Field Theory, Nonlocal Operators, and Gapped Phases of Gauge Theories
   2013/07/17 by Gukov, Sergei, Kapustin, Anton · 5 citations
   #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Strongly Correlated Electrons (cond-mat.str-el)
9. Fivebranes and 4-manifolds
   2013/06/18 by Gadde, Abhijit, Gukov, Sergei, Putrov, Pavel · 4 citations
   #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #High Energy Physics - Theory (hep-th)
10. 3d TQFTs from Argyres-Douglas theories
    2018/09/12 by Mykola Dedushenko, Sergei Gukov, Dedushenko, Mykola +7 · 5 citations
    Physics and Astronomy · Mathematics · #Black Holes and Theoretical Physics #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology
11. Aristotle: IMO-level Automated Theorem Proving
    2025/10/01 by Tudor Achim, Alex J. Best, Achim, Tudor +46 · 3 voices · 6 citations
    Computer Science · #Logic, Reasoning, and Knowledge #Logic, programming, and type systems #Multi-Agent Systems and Negotiation #cs.AI #cs.CL
12. Quadruply-graded colored homology of knots
    2013/04/11 by Eugene Gorsky, Sergei Gukov, Gorsky, Eugene +3 · 3 citations
    Mathematics · Computer Science · #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #Geometric and Algebraic Topology
13. 3-Manifolds and VOA Characters
    2022/01/12 by Cheng, Miranda C. N., Chun, Sungbong, Feigin, Boris +4 · 5 citations
    #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA) #Representation Theory (math.RT)
14. The Verlinde formula for Higgs bundles
    2016/08/05 by Andersen, Jørgen Ellegaard, Gukov, Sergei, Pei, Du · 3 citations
    #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Representation Theory (math.RT)
15. Going to the Other Side via the Resurgent Bridge
    2023/10/18 by Ovidiu Costin, Costin, Ovidiu, Gerald V. Dunne +5 · 7 citations
    Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #Geometric and Algebraic Topology #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT) #Quantum Algebra (math.QA)
16. Resurgence in complex Chern-Simons theory
    2016/05/24 by Gukov, Sergei, Marino, Marcos, Putrov, Pavel · 3 citations
    #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Number Theory (math.NT) #Quantum Algebra (math.QA)
17. Chern-Simons Theory and S-duality
    2011/06/22 by Tudor Dimofte, Sergei Gukov, Dimofte, Tudor +1 · 2 citations
    Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #Geometric and Algebraic Topology #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)
18. Surface Operators
    2014/12/22 by Gukov, Sergei · 2 citations
    #FOS: Physical sciences #High Energy Physics - Theory (hep-th)
19. Topological Gravity as the Early Phase of Our Universe
    2020/09/21 by Agrawal, Prateek, Gukov, Sergei, Obied, Georges +1 · 2 citations
    #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th)
20. Extremal N=(2,2) 2D Conformal Field Theories and Constraints of Modularity
    2008/05/27 by Matthias R. Gaberdiel, Gaberdiel, Matthias R., Sergei Gukov +7 · 3 citations
    Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies
21. On categorification of Stokes coefficients in Chern-Simons theory
    2024/03/18 by Gukov, Sergei, Putrov, Pavel · 4 citations
    #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Symplectic Geometry (math.SG)
22. Equivariant Verlinde formula from fivebranes and vortices
    2015/01/06 by Sergei Gukov, Gukov, Sergei, Du Pei +1 · 1 citation
    Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Quantum Algebra (math.QA)
23. Junctions of surface operators and categorification of quantum groups
    2015/07/22 by Chun, Sungbong, Gukov, Sergei, Roggenkamp, Daniel · 1 citation
    #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA)
24. 4-manifolds and topological modular forms
    2018/11/19 by Gukov, Sergei, Pei, Du, Putrov, Pavel +1 · 1 citation
    #Algebraic Topology (math.AT) #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)
25. Rigor with Machine Learning from Field Theory to the Poincaré Conjecture
    2024/02/20 by Gukov, Sergei, Halverson, James, Ruehle, Fabian · 2 citations
    #FOS: Computer and information sciences #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Machine Learning (cs.LG)
26. Matrix Factorizations and Kauffman Homology
    2005/12/22 by Sergei Gukov, Gukov, Sergei, Johannes Walcher +1 · 2 citations
    Mathematics · #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #Geometric and Algebraic Topology #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)
27. Learning to Unknot
    2020/10/28 by Sergei Gukov, James Halverson, Gukov, Sergei +5 · 1 citation
    Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #Artificial Intelligence in Games #Biochemical and Structural Characterization #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #Geometric and Algebraic Topology #High Energy Physics - Theory (hep-th) #Machine Learning (cs.LG)
28. Searching for ribbons with machine learning
    2023/04/18 by Sergei Gukov, James Halverson, Gukov, Sergei +5 · 1 citation
    Engineering · Mathematics · Medicine · #57K10 (Primary) #57K40 #68T99 (Secondary) #Advanced Numerical Analysis Techniques #Botulinum Toxin and Related Neurological Disorders #FOS: Computer and information sciences #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Machine Learning (cs.LG)
29. \widehatZ and Splice Diagrams
    2023/04/03 by Sergei Gukov, Gukov, Sergei, Ludmil Katzarkov +3 · 1 citation
    Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Quantum Algebra (math.QA)
30. Quantization via Mirror Symmetry
    2010/11/09 by Sergei Gukov, Gukov, Sergei · 3 citations
    Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Quantum Algebra (math.QA)
31. Orientation Reversal and the Chern-Simons Natural Boundary
    2025/05/20 by Adams, Griffen, Costin, Ovidiu, Dunne, Gerald V. +2 · 4 citations
    #Complex Variables (math.CV) #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)