2007 - Fellow of Alfred P. Sloan Foundation
Sergei Gukov mainly investigates Gauge theory, Pure mathematics, Theoretical physics, Quantum electrodynamics and Instanton. His Gauge theory study often links to related topics such as Conjecture. His Pure mathematics research incorporates elements of Chern–Simons theory and Algebra.
His study in Theoretical physics is interdisciplinary in nature, drawing from both Supergravity, Supersymmetry, Holonomy and Gauge group. His Supergravity study incorporates themes from Calabi–Yau manifold and Superpotential. His Quantum electrodynamics research is multidisciplinary, incorporating perspectives in M-theory, S-duality, Supersymmetric gauge theory and Compactification, Mathematical physics.
His main research concerns Pure mathematics, Gauge theory, Theoretical physics, Mathematical physics and Supersymmetry. His study in Pure mathematics is interdisciplinary in nature, drawing from both Quantum mechanics, Partition function and Knot. His Gauge theory study combines topics in areas such as Instanton, Holonomy, Brane and Moduli space.
His Theoretical physics research is multidisciplinary, incorporating elements of Quantum electrodynamics, Supergravity, Triality and Particle physics. In his study, which falls under the umbrella issue of Supergravity, Compactification is strongly linked to Calabi–Yau manifold. His research integrates issues of Space, Conformal map and Sigma model in his study of Mathematical physics.
Sergei Gukov spends much of his time researching Pure mathematics, Gauge theory, Theoretical physics, Supersymmetry and Categorification. Pure mathematics is closely attributed to Partition function in his study. His Gauge theory study is related to the wider topic of Mathematical physics.
The Dilaton research Sergei Gukov does as part of his general Theoretical physics study is frequently linked to other disciplines of science, such as Complex multiplication, therefore creating a link between diverse domains of science. Many of his research projects under Supersymmetry are closely connected to Modular invariance with Modular invariance, tying the diverse disciplines of science together. His Categorification study incorporates themes from Invariant, Hilbert space and Riemann surface.
His primary areas of study are Pure mathematics, Categorification, Riemann surface, Hilbert space and Abelian group. His research is interdisciplinary, bridging the disciplines of Magnetic monopole and Pure mathematics. His biological study spans a wide range of topics, including Twist, Compactification, Interpretation, 4-manifold and Vertex.
His Categorification research integrates issues from 3-manifold and Homology. His 3-manifold research includes elements of Linear combination, Knot and Floer homology. Sergei Gukov has included themes like Invariant and Partition function in his Abelian group study.
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CFT's from Calabi–Yau four-folds
Sergei Gukov;Cumrun Vafa;Edward Witten.
Nuclear Physics (2000)
Loop and surface operators in N=2 gauge theory and Liouville modular geometry
Luis F. Alday;Davide Gaiotto;Sergei Gukov;Sergei Gukov;Yuji Tachikawa.
Journal of High Energy Physics (2010)
Gauge Theory, Ramification, And The Geometric Langlands Program
Sergei Gukov;Edward Witten.
Current Developments in Mathematics (2006)
Gauge Theories Labelled by Three-Manifolds
Tudor Dimofte;Davide Gaiotto;Sergei Gukov;Sergei Gukov.
Communications in Mathematical Physics (2014)
Three-Dimensional Quantum Gravity, Chern-Simons Theory, and the A-Polynomial
Communications in Mathematical Physics (2005)
Erratum to: “CFT's from Calabi–Yau four-folds”: [Nucl. Phys. B 584 (2000) 69]
S. Gukov;C. Vafa;E. Witten.
Nuclear Physics (2001)
Vortex Counting and Lagrangian 3-manifolds
Tudor Dimofte;Sergei Gukov;Sergei Gukov;Lotte Hollands;Lotte Hollands.
Letters in Mathematical Physics (2011)
The superpolynomial for knot homologies
Nathan M. Dunfield;Sergei Gukov;Jacob Rasmussen.
Experimental Mathematics (2006)
3-Manifolds and 3d Indices
Tudor Dimofte;Davide Gaiotto;Sergei Gukov.
Advances in Theoretical and Mathematical Physics (2013)
Solitons, superpotentials and calibrations
Sergei Gukov;Sergei Gukov.
Nuclear Physics (2000)
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