World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
53
Citations
9131
World Ranking
915
National Ranking
13

Harald Grosse 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 Harald Grosse 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: 205 publications — 64th percentile

64% of scientists in this discipline score the same or lower.

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

Harald Grosse 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 Harald Grosse 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

  • 1981 - Ludwig Boltzmann Prize, Austrian Physical Society

Overview

Harald Grosse is affiliated with the University of Vienna in Austria. Their research primarily addresses areas within Physics and Astronomy as well as Mathematics.

They have contributed to several subfields, including:

  • Atomic and Molecular Physics, and Optics
  • Statistical and Nonlinear Physics
  • Geometry and Topology
  • Nuclear and High Energy Physics
  • Mathematical Physics

Their work covers topics such as:

  • Algebraic structures and combinatorial models
  • Black Holes and Theoretical Physics
  • Quantum Mechanics and Non-Hermitian Physics
  • Advanced Topics in Algebra
  • Quantum chaos and dynamical systems
  • Cold Atom Physics and Bose-Einstein Condensates
  • Nonlinear Waves and Solitons

Harald Grosse's recent publications include the following papers:

  • Solution of the self-dual Φ4 QFT-model on four-dimensional Moyal space (2020), Journal of High Energy Physics
  • Integrability of $Φ^4$ Matrix Model as $N$-body Harmonic Oscillator System (2023), arXiv (Cornell University)
  • Real symmetric $Φ^4$-matrix model as Calogero-Moser model (2023), arXiv (Cornell University)
  • A quantum energy inequality for a non-commutative QFT (2025), Journal of High Energy Physics

They have also been associated with a multi-author paper titled "To the memory of our friend John Andrew Madore" (2022) published in the Proceedings of Corfu Summer Institute 2021 "School and Workshops on Elementary Particle Physics and Gravity" - PoS(CORFU2021).

The frequent coauthors collaborating with Harald Grosse include:

  • Raimar Wulkenhaar
  • Akifumi Sako
  • Naoyuki Kanomata
  • Alexander Hock
  • Maja Burić

The main venues where Harald Grosse has published are:

  • arXiv (Cornell University)
  • Journal of High Energy Physics
  • Proceedings of Corfu Summer Institute 2021 "School and Workshops on Elementary Particle Physics and Gravity" - PoS(CORFU2021)

Harald Grosse was awarded the Ludwig Boltzmann Prize by the Austrian Physical Society in 1981.

Best Publications

  • Renormalisation of \phi^4-theory on noncommutative R^4 in the matrix base

    Harald Grosse;Raimar Wulkenhaar

  • Renormalisation of ϕ4-Theory on Noncommutative ℝ4 in the Matrix Base

    Harald Grosse;Raimar Wulkenhaar

  • Finite quantum field theory in noncommutative geometry

    H. Grosse;C. Klimčík;P. Prešnajder

  • Renormalisation of \phi^4-theory on noncommutative R^2 in the matrix base

    Harald Grosse;Raimar Wulkenhaar

  • The eta-function in duality-covariant noncommutative \phi^4-theory

    Harald Grosse;Raimar Wulkenhaar

  • ON FINITE 4D QUANTUM FIELD THEORY IN NON-COMMUTATIVE GEOMETRY

    H. Grosse;C. Klimčík;P. Prešnajder

  • Renormalisation of phi4-theory on noncommutative Bbb R2 in the matrix base

    Harald Grosse;Raimar Wulkenhaar

  • Topologically nontrivial field configurations in noncommutative geometry

    H. Grosse;C. Klimčík;P. Prešnajder

  • Combinatorial quantization of the Hamiltonian Chern-Simons theory I

    Anton Yu. Alekseev;Harald Grosse;Volker Schomerus

  • Induced gauge theory on a noncommutative space

    Harald Grosse;Michael Wohlgenannt

  • Field Theory on a Supersymmetric Lattice

    H. Grosse;C. Klimčík;P. Prešnajder

  • Renormalization of the noncommutative photon self-energy to all orders via Seiberg-Witten map

    Andreas Bichl;Jesper Grimstrup;Lukas Popp;Manfred Schweda

  • A Noncommutative version of the Schwinger model

    H. Grosse;J. Madore

  • The construction of noncommutative manifolds using coherent states

    H. Grosse;P. Prešnajder

  • The $eta$ -function in duality-covariant non-commutative $\phi^4$ -theory

    Harald Grosse;Raimar Wulkenhaar

  • Self-Dual Noncommutative $${\phi^4}$$ -Theory in Four Dimensions is a Non-Perturbatively Solvable and Non-Trivial Quantum Field Theory

    Harald Grosse;Raimar Wulkenhaar

  • Combinatorial quantization of the Hamiltonian Chern-Simons theory I

    A. Yu. Alekseev;H. Grosse;V. Schomerus

  • Renormalization of the noncommutative photon self-energy to all orders via Seiberg-Witten map

    Andreas Bichl;Jesper Grimstrup;Harald Grosse;Lukas Popp

  • Strong Connections and Chern–Connes Pairing¶in the Hopf–Galois Theory

    Ludwik Dąbrowski;Harald Grosse;M. Hajac

  • Witten index, axial anomaly, and Krein's spectral shift function in supersymmetric quantum mechanics

    Désiré Bollé;F Gesztesy;H Grosse;W Schweiger

  • Towards Finite Quantum Field Theory in Non-Commutative Geometry

    H. Grosse;C. Klimcik;P. Presnajder

Frequent Co-Authors

Raimar Wulkenhaar
Raimar Wulkenhaar University of Münster
Harold Steinacker
Harold Steinacker University of Vienna
Alain J. Martin
Alain J. Martin California Institute of Technology
Fritz Gesztesy
Fritz Gesztesy Baylor University
John Madore
John Madore Université Paris Cité
Alan L. Carey
Alan L. Carey Australian National University
Barry Simon
Barry Simon California Institute of Technology
Martin Bojowald
Martin Bojowald Pennsylvania State University
Hermann Nicolai
Hermann Nicolai Max Planck Institute for Gravitational Physics

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