H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 69 Citations 15,888 126 World Ranking 127 National Ranking 73

Research.com Recognitions

Awards & Achievements

2007 - Fellow of Alfred P. Sloan Foundation

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Pure mathematics
  • Algebra

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 most cited work include:

  • CFT's from Calabi–Yau four-folds (1266 citations)
  • Loop and surface operators in N=2 gauge theory and Liouville modular geometry (477 citations)
  • Loop and surface operators in N=2 gauge theory and Liouville modular geometry (477 citations)

What are the main themes of his work throughout his whole career to date?

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.

He most often published in these fields:

  • Pure mathematics (52.90%)
  • Gauge theory (49.81%)
  • Theoretical physics (48.65%)

What were the highlights of his more recent work (between 2016-2021)?

  • Pure mathematics (52.90%)
  • Gauge theory (49.81%)
  • Theoretical physics (48.65%)

In recent papers he was focusing on the following fields of study:

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.

Between 2016 and 2021, his most popular works were:

  • Fivebranes and 3-manifold homology (108 citations)
  • RG Flows and Bifurcations (61 citations)
  • RG Flows and Bifurcations (61 citations)

In his most recent research, the most cited papers focused on:

  • Quantum mechanics
  • Algebra
  • Pure mathematics

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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Top Publications

CFT's from Calabi–Yau four-folds

Sergei Gukov;Cumrun Vafa;Edward Witten.
Nuclear Physics (2000)

1628 Citations

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)

477 Citations

Erratum to: “CFT's from Calabi–Yau four-folds”

S. Gukov;C. Vafa;E. Witten.
Nuclear Physics (2001)

409 Citations

Gauge Theories Labelled by Three-Manifolds

Tudor Dimofte;Davide Gaiotto;Sergei Gukov;Sergei Gukov.
Communications in Mathematical Physics (2014)

405 Citations

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

Sergei Gukov.
Communications in Mathematical Physics (2005)

393 Citations

Gauge Theory, Ramification, And The Geometric Langlands Program

Sergei Gukov;Edward Witten.
Current Developments in Mathematics (2006)

380 Citations

Solitons, superpotentials and calibrations

Sergei Gukov;Sergei Gukov.
Nuclear Physics (2000)

358 Citations

The superpolynomial for knot homologies

Nathan M. Dunfield;Sergei Gukov;Jacob Rasmussen.
Experimental Mathematics (2006)

316 Citations

Vortex Counting and Lagrangian 3-manifolds

Tudor Dimofte;Sergei Gukov;Sergei Gukov;Lotte Hollands;Lotte Hollands.
Letters in Mathematical Physics (2011)

279 Citations

3-Manifolds and 3d Indices

Tudor Dimofte;Davide Gaiotto;Sergei Gukov.
Advances in Theoretical and Mathematical Physics (2013)

276 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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