World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
53
Citations
12041
World Ranking
895
National Ranking
431

Helmut Hofer 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 Helmut Hofer 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: 121 publications — 21st percentile

21% of scientists in this discipline score the same or lower.

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

Helmut Hofer 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 Helmut Hofer 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: 53 D-Index — 76th percentile

76% 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

  • 2020 - Fellow of the American Academy of Arts and Sciences
  • 2013 - Fellow of the American Mathematical Society
  • 2008 - Member of Academia Europaea
  • 2008 - Member of the National Academy of Sciences

Overview

Helmut Hofer is affiliated with the Institute for Advanced Study in the United States. Their academic work primarily focuses on the field of Mathematics, with a concentration on several subfields including Geometry and Topology, Mathematical Physics, and Algebra and Number Theory.

The scientist's research encompasses a variety of topics, notably:

  • Homotopy and Cohomology in Algebraic Topology
  • Advanced Topics in Algebra
  • Geometric and Algebraic Topology
  • Diamond and Carbon-based Materials Research
  • Algebraic structures and combinatorial models
  • High-pressure geophysics and materials
  • Geometry and complex manifolds

Helmut Hofer has contributed to the academic community through publications in several venues, including:

  • Zeitschrift für Gastroenterologie
  • Journal of Physics Conference Series
  • Oberwolfach Reports
  • Ergebnisse der Mathematik und ihrer Grenzgebiete
  • Journal of Applied Physics

Their recent papers include:

  • Polyfold and Fredholm Theory, 2021, Ergebnisse der Mathematik und ihrer Grenzgebiete
  • Bright single-photon emission from a GeV center in diamond under a microfabricated solid immersion lens at room temperature, 2023, Journal of Applied Physics
  • Feral curves and minimal sets, 2023, Annals of Mathematics
  • Almost existence from the feral perspective and some questions, 2021, Ergodic Theory and Dynamical Systems
  • Comparison of back focal plane imaging of nitrogen vacancy centers in nanodiamond and core-shell CdSe/CdS quantum dots, 2022, Journal of Physics Conference Series

Frequent collaborators include Krzysztof Wysocki, Eduard Zehnder, Justus Christinck, S. Kück, and Georg Semmler. These coauthors have worked with Helmut Hofer on various projects, contributing to the volume and diversity of the scientist's publications.

The scientist's career includes recognition through several awards and memberships, such as:

  • Fellow of the American Academy of Arts and Sciences (2020)
  • Fellow of the American Mathematical Society (2013)
  • Member of Academia Europaea (2008)
  • Member of the National Academy of Sciences (2008)

Best Publications

  • Symplectic Invariants and Hamiltonian Dynamics

    Helmut Hofer;Eduard Zehnder

  • Introduction to Symplectic Field Theory

    Yakov Eliashberg;Alexander Givental;Helmut Hofer

  • Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three.

    H. Hofer

  • Compactness results in Symplectic Field Theory

    Frédéric Bourgeois;Yakov Eliashberg;Helmut Hofer;Krzysztof Wysocki

  • On the topological properties of symplectic maps

    H. Hofer

  • Transversality in elliptic Morse theory for the symplectic action

    Andreas Floer;Helmut Hofer;Dietmar Salamon

  • Floer homology and Novikov rings

    Helmut Hofer;Dietmar A. Salamon

  • The dynamics on three-dimensional strictly convex energy surfaces

    Helmut Hofer;Krzysztof Wysocki;Eduard Zehnder

  • Symplectic topology and Hamiltonian dynamics

    Ivar Ekeland;Helmut Hofer

  • Coherent orientations for periodic orbit problems in symplectic geometry

    A. Floer;H. Hofer

  • Finite energy foliations of tight three-spheres and Hamiltonian dynamics

    Helmut Hofer;Kris Wysocki;Eduard Zehnder

  • Symplectic homology II. A general construction.

    K. Cieliebak;A. Floer;H. Hofer

  • Variational and Topological Methods in Partially Ordered Hilbert Spaces.

    Helmut Hofer

  • On genericity for holomorphic curves in four-dimensional almost-complex manifolds

    Helmut Hofer;Véronique Lizan;Jean-Claude Sikorav

  • Properties of pseudoholomorphic curves in symplectisations. I : asymptotics

    H. Hofer;K. Wysocki;E. Zehnder

  • The weinstein conjecture in the presence of holomorphic spheres

    H. Hofer;C. Viterbo

  • Convex Hamiltonian energy surfaces and their periodic trajectories

    I. Ekeland;H. Hofer

  • Properties of Pseudo-Holomorphic Curves in Symplectisations II: Embedding Controls and Algebraic Invariants

    H. Hofer;K. Wysocki;E. Zehnder

  • Symplectic homology I open sets in ℂn

    Unknown

  • First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems

    H. Hofer;K. Wysocki

  • Applications of symplectic homology II: Stability of the action spectrum.

    K. Cieliebak;A. Floer;H. Hofer;K. Wysocki

Frequent Co-Authors

Ivar Ekeland
Ivar Ekeland University of British Columbia
Yakov Eliashberg
Yakov Eliashberg Stanford University
John Toland
John Toland University of Bath
Peter Albers
Peter Albers Heinrich Heine University Düsseldorf
Edward Witten
Edward Witten Institute for Advanced Study
Vieri Benci
Vieri Benci University of Pisa
Paul H. Rabinowitz
Paul H. Rabinowitz University of Wisconsin–Madison
Serge Tabachnikov
Serge Tabachnikov Pennsylvania State University

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