World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
51
Citations
12458
World Ranking
1009
National Ranking
468

Albert S. Schwarz publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Albert S. Schwarz sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 182 publications — 54th percentile

54% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Albert S. Schwarz D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Albert S. Schwarz sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 51 D-Index — 73rd percentile

73% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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.

Recent papers include:

  • "Geometric Approach to Quantum Theory" (2020), published in Symmetry Integrability and Geometry Methods and Applications
  • "Scattering in Algebraic Approach to Quantum Theory-Associative Algebras" (2022), published in Universe
  • "Scattering in Geometric Approach to Quantum Theory" (2022), published in Universe
  • "A New Approach to String Theory" (2023), published in Universe
  • "Scattering in Algebraic Approach to Quantum Theory-Jordan Algebras" (2023), published in Universe

Frequent co-authors of Albert S. Schwarz include I. N. Frolov and Anton M. Zeitlin.

In addition to articles, Albert S. Schwarz has published books, including "Quantum Mechanics and Quantum Field Theory from Algebraic and Geometric Viewpoints" in 2024 with Springer Nature.

The scientist has been recognized with awards such as the Fellow of the American Mathematical Society, received in 2018 for contributions to mathematical 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

  • The Geometry of the Master Equation and Topological Quantum Field Theory

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

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

    Nikita Nekrasov;Albert S. Schwarz

  • The Geometry of the Master Equation and Topological Quantum Field Theory

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

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

    Albert S. Schwarz

  • Geometry of Batalin-Vilkovisky quantization

    Albert S. Schwarz

  • The partition function of a degenerate functional

    Albert S. Schwarz

  • Khovanov-Rozansky homology and topological strings

    Sergei Gukov;Albert Schwarz;Cumrun Vafa

  • Introduction to M(atrix) theory and noncommutative geometry

    Anatoly Konechny;Anatoly Konechny;Albert S. Schwarz

  • Quantum fluctuations of instantons in the nonlinear σ model

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

  • On Regular Solutions of Euclidean Yang-Mills Equations

    Albert S. Schwarz

  • Morita equivalence and duality

    Albert S. Schwarz

  • Quantum Field Theory and Topology

    Albert S. Schwarz

  • Field theories with no local conservation of the electric charge

    Albert S. Schwarz

  • Geometric interpretation of the partition function of 2D gravity

    V. Kac;Albert S. Schwarz

  • Topology for Physicists

    Albert S. Schwarz

  • Morita equivalence of multidimensional noncommutative tori

    Marc A. Rieffel;Albert S. Schwarz

  • Semiclassical approximation in Batalin-Vilkovisky formalism

    Albert S. Schwarz

  • Categories of Holomorphic Vector Bundles on Noncommutative Two-Tori

    Alexander Polishchuk;Albert S. Schwarz

  • Instantons and fermions in the field of instanton

    A. S. Schwarz

  • Topological quantum field theories

    Albert Schwarz

  • Elements of Homotopy Theory

    Albert S. Schwarz

Frequent Co-Authors

Vladimir Fateev
Vladimir Fateev University of Montpellier
Alain Connes
Alain Connes Collège de France
Maxim Kontsevich
Maxim Kontsevich Institut des Hautes Études Scientifiques
Karen Uhlenbeck
Karen Uhlenbeck The University of Texas at Austin
David Ruelle
David Ruelle Institut des Hautes Études Scientifiques
Benoit B. Mandelbrot
Benoit B. Mandelbrot Yale University
James Glimm
James Glimm Stony Brook University
Edward Witten
Edward Witten Institute for Advanced Study
Marc A. Rieffel
Marc A. Rieffel University of California, Berkeley
Igor Moiseevich Krichever
Igor Moiseevich Krichever Columbia University

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