World's Best Scientists 2026 revealed!
Peter W. Michor

Peter W. Michor

D-Index & Metrics

Mathematics

D-Index
45
Citations
9682
World Ranking
1456
National Ranking
21

Peter W. Michor 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 Peter W. Michor 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: 222 publications — 70th percentile

70% of scientists in this discipline score the same or lower.

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

Peter W. Michor 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 Peter W. Michor 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: 45 D-Index — 61st percentile

61% of scientists in this discipline score the same or lower.

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

Overview

Peter W. Michor is affiliated with the University of Vienna in Austria. Their research focuses primarily on the field of Mathematics, with a considerable number of publications intersecting various subfields including Geometry and Topology, Applied Mathematics, Mathematical Physics, Astronomy and Astrophysics, and Computational Mechanics.

The main topics of their work encompass:

  • Geometric Analysis and Curvature Flows
  • Geometry and complex manifolds
  • Geometric and Algebraic Topology
  • Nonlinear Partial Differential Equations
  • History and Theory of Mathematics
  • Advanced Numerical Analysis Techniques
  • Morphological variations and asymmetry

Peter W. Michor's recent papers reflect these interests and include:

  • "Smooth Perturbations of the Functional Calculus and Applications to Riemannian Geometry on Spaces of Metrics" (2022) published in Communications in Mathematical Physics
  • "Sobolev metrics on spaces of manifold valued curves" (2022) published in ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
  • "Regularity and completeness of half-Lie groups" (2023) published on arXiv (Cornell University)
  • "Fractional Sobolev metrics on spaces of immersions" (2020) published in Calculus of Variations and Partial Differential Equations
  • "Regularity and completeness of half-Lie groups" (2025) published in Journal of the European Mathematical Society

The frequent co-authors with whom they have collaborated include:

  • Martin Bauer
  • Wolfgang Ruppert
  • Philipp Harms
  • Cy Maor
  • Johanna Michor

Regarding publication venues, Peter W. Michor has multiple works featured in:

  • arXiv (Cornell University)
  • Communications in Mathematical Physics
  • ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
  • Journal of the European Mathematical Society
  • Calculus of Variations and Partial Differential Equations

Peter W. Michor has also contributed to book publications with Springer Nature, including the title "Mathematik in Österreich und die NS-Zeit" (2023).

Best Publications

  • Natural operations in differential geometry

    Ivan Kolář;Jan Slovák;Peter W. Michor

  • The Convenient Setting of Global Analysis

    Andreas Kriegl;Peter W. Michor

  • Riemannian Geometries on Spaces of Plane Curves

    Peter W. Michor;David Bryant Mumford

  • Manifolds of differentiable mappings

    Peter W. Michor

  • Topics in Differential Geometry

    Peter W. Michor

  • A metric on shape space with explicit geodesics

    Laurent Younes;Peter W. Michor;Jayant M. Shah;David B. Mumford

  • An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach

    Peter W. Michor;David Bryant Mumford

  • VANISHING GEODESIC DISTANCE ON SPACES OF SUBMANIFOLDS AND DIFFEOMORPHISMS

    Peter W. Michor;David Bryant Mumford

  • Overview of the Geometries of Shape Spaces and Diffeomorphism Groups

    Martin Bauer;Martins Bruveris;Peter W. Michor

  • Connections on central bimodules in noncommutative differential geometry

    Michel Dubois-Violette;Peter W. Michor

  • Sobolev metrics on shape space of surfaces

    Martin Bauer;Philipp Harms;Peter W. Michor

  • CONNECTIONS ON CENTRAL BIMODULES

    Michel Dubois-Violette;Peter W. Michor

  • THE RIEMANNIAN MANIFOLD OF ALL RIEMANNIAN METRICS

    Olga Gil-Medrano;Peter W. Michor

  • Banach modules and functors on categories of Banach spaces

    Johann Cigler;Viktor Losert;Peter W. Michor

  • NATURAL TRANSFORMATIONS IN DIFFERENTIAL GEOMETRY

    Gerd Kainz;Peter W. Michor

  • Constructing reparameterization invariant metrics on spaces of plane curves

    Martin Bauer;Martins Bruveris;Stephen Marsland;Peter W. Michor

  • The action of the diffeomorphism group on the space of immersions

    Vicente Cervera;Francisca Mascaró;Peter W. Michor

  • Constructing reparametrization invariant metrics on spaces of plane curves

    Martin Bauer;Martins Bruveris;Stephen Marsland;Peter W. Michor

  • CHOOSING ROOTS OF POLYNOMIALS SMOOTHLY, II

    Andreas Kriegl;Mark Losik;Peter W. Michor

  • The convenient setting for non-quasianalytic Denjoy–Carleman differentiable mappings☆

    Andreas Kriegl;Peter W. Michor;Armin Rainer

  • Natural Operations in Di erential Geometry Springer-Verlag

    R I Kol'a;Peter W. Michor;Jan Slovak

  • Mathematics unlimited-2001 and Beyond

    Peter W. Michor

Frequent Co-Authors

David Mumford
David Mumford Brown University
Janusz Grabowski
Janusz Grabowski Polish Academy of Sciences
Michel Dubois-Violette
Michel Dubois-Violette Université Paris Cité
Giuseppe Marmo
Giuseppe Marmo University of Naples Federico II
Karl Sigmund
Karl Sigmund University of Vienna
Xavier Pennec
Xavier Pennec French Institute for Research in Computer Science and Automation - INRIA
Tudor S. Ratiu
Tudor S. Ratiu École Polytechnique Fédérale de Lausanne
Eric Klassen
Eric Klassen Florida State University
Laurent Younes
Laurent Younes Johns Hopkins University
Walter Schachermayer
Walter Schachermayer University of Vienna

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