2026 Albert S. Schwarz: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	51	1009	861	467	373	182	12458

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

1009

861

467

373

182

12458

Research.com Recognitions

2018 - Fellow of the American Mathematical Society For contributions to mathematical physics.

Overview

Albert S. Schwarz is affiliated with the University of California, Davis in the United States. Their research primarily spans the fields of Mathematics and Physics and Astronomy, with significant contributions to subfields such as Atomic and Molecular Physics and Optics, Mathematical Physics, Geometry and Topology, Algebra and Number Theory, and Statistical and Nonlinear Physics.

The scientist's work addresses a range of main topics, including:

Advanced Topics in Algebra
Quantum Mechanics and Applications
Algebraic structures and combinatorial models
Quantum optics and atomic interactions
Advanced Operator Algebra Research
Black Holes and Theoretical Physics
Advanced Thermodynamics and Statistical Mechanics

Albert S. Schwarz has published extensively, with frequent publication venues such as arXiv (Cornell University), Universe, Symmetry Integrability and Geometry Methods and Applications, Nuclear Physics B, and the Journal of High Energy Physics.

Best Publications

Noncommutative Geometry and Matrix Theory: Compactification on Tori

Alain Connes;Michael R. Douglas;Michael R. Douglas;Albert S. Schwarz;Albert S. Schwarz;Albert S. Schwarz

2920
Citations
The Geometry of the Master Equation and Topological Quantum Field Theory

M. Alexandrov;A. Schwarz;O. Zaboronsky;M. Kontsevich

806
Citations
Instantons on Noncommutative R 4 , and (2; 0) Superconformal Six Dimensional Theory

Nikita Nekrasov;Albert S. Schwarz

719
Citations
The Geometry of the Master Equation and Topological Quantum Field Theory

M. Alexandrov;M. Kontsevich;A. Schwarz;O. Zaboronsky

632
Citations
The Partition Function of Degenerate Quadratic Functional and Ray-Singer Invariants

Albert S. Schwarz

566
Citations
Geometry of Batalin-Vilkovisky quantization

Albert S. Schwarz

509
Citations
The partition function of a degenerate functional

Albert S. Schwarz

324
Citations
Khovanov-Rozansky homology and topological strings

Sergei Gukov;Albert Schwarz;Cumrun Vafa

291
Citations
Introduction to M(atrix) theory and noncommutative geometry

Anatoly Konechny;Anatoly Konechny;Albert S. Schwarz

285
Citations
Quantum fluctuations of instantons in the nonlinear σ model

V.A. Fateev;I.V. Frolov;A.S. Schwarz

263
Citations
On Regular Solutions of Euclidean Yang-Mills Equations

Albert S. Schwarz

235
Citations
Morita equivalence and duality

Albert S. Schwarz

231
Citations
Quantum Field Theory and Topology

Albert S. Schwarz

226
Citations
Field theories with no local conservation of the electric charge

Albert S. Schwarz

203
Citations
Geometric interpretation of the partition function of 2D gravity

V. Kac;Albert S. Schwarz

191
Citations
Topology for Physicists

Albert S. Schwarz

182
Citations
Morita equivalence of multidimensional noncommutative tori

Marc A. Rieffel;Albert S. Schwarz

168
Citations
Semiclassical approximation in Batalin-Vilkovisky formalism

Albert S. Schwarz

157
Citations
Categories of Holomorphic Vector Bundles on Noncommutative Two-Tori

Alexander Polishchuk;Albert S. Schwarz

156
Citations
Instantons and fermions in the field of instanton

A. S. Schwarz

153
Citations
Topological quantum field theories

Albert Schwarz

23
Citations
Elements of Homotopy Theory

Albert S. Schwarz

5
Citations

Frequent Co-Authors

Vladimir Fateev University of Montpellier

Alain Connes Collège de France

Maxim Kontsevich Institut des Hautes Études Scientifiques

Karen Uhlenbeck The University of Texas at Austin

David Ruelle Institut des Hautes Études Scientifiques

Benoit B. Mandelbrot Yale University

James Glimm Stony Brook University

Edward Witten Institute for Advanced Study

Marc A. Rieffel University of California, Berkeley

Igor Moiseevich Krichever Columbia University

External Links

Wikipedia of Albert S. Schwarz Personal website of Albert S. Schwarz Google Scholar page

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