World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
38
Citations
12413
World Ranking
2273
National Ranking
961

Peter B. Gilkey 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 B. Gilkey 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: 346 publications — 90th percentile

90% of scientists in this discipline score the same or lower.

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

Peter B. Gilkey 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 B. Gilkey 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: 38 D-Index — 37th percentile

37% 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

  • 2013 - Fellow of the American Mathematical Society
  • 1975 - Fellow of Alfred P. Sloan Foundation

Overview

Peter B. Gilkey is affiliated with the University of Oregon in the United States. Their research work spans various areas within mathematics, with a primary focus on geometric analysis, topology, and mathematical physics.

The main fields of study for Gilkey include:

  • Mathematics

Within these fields, their contributions are concentrated in several subfields such as:

  • Applied Mathematics
  • Geometry and Topology
  • Mathematical Physics
  • Computational Theory and Mathematics
  • Astronomy and Astrophysics

The topics central to their research activity include:

  • Geometric Analysis and Curvature Flows
  • Geometry and complex manifolds
  • Geometric and Algebraic Topology
  • Advanced Mathematical Modeling in Engineering
  • Advanced Operator Algebra Research
  • Numerical methods in inverse problems
  • Spectral Theory in Mathematical Physics

Recent publications by Peter B. Gilkey demonstrate engagement with harmonic analysis and geometric structures:

  • "Harmonic Spaces and Density Functions", 2020, Results in Mathematics
  • "Maximal Domains of Radial Harmonic Functions", 2023, Mediterranean Journal of Mathematics
  • "Harmonic radial vector fields on harmonic spaces", 2021, Journal of Mathematical Analysis and Applications

Other notable papers listed include:

  • "The local index density of the perturbed de Rham complex", 2021, Czechoslovak Mathematical Journal
  • "On distinguished local coordinates for locally homogeneous affine surfaces", 2020, Monatshefte für Mathematik

Peter B. Gilkey has frequently collaborated with several researchers, including:

  • JeongHyeong Park
  • Eduardo García-Río
  • Esteban Calviño-Louzao
  • Ramón Vázquez-Lorenzo
  • Jesús A. Álvarez López

The venues in which Gilkey most often publishes are:

  • arXiv (Cornell University)
  • Czechoslovak Mathematical Journal
  • Monatshefte für Mathematik
  • Mediterranean Journal of Mathematics
  • Results in Mathematics

Gilkey has also contributed to academia through book publications, notably:

  • Aspects of Differential Geometry V (2021), part of the Synthesis Lectures on Mathematics and Statistics

Their career has been recognized with distinctions such as:

  • Fellow of the American Mathematical Society (2013)
  • Fellow of Alfred P. Sloan Foundation (1975)

Best Publications

  • Invariance theory, the heat equation, and the Atiyah-Singer index theorem

    Peter B. Gilkey

  • Gravitation, Gauge Theories and Differential Geometry

    Tohru Eguchi;Tohru Eguchi;Peter B. Gilkey;Peter B. Gilkey;Andrew J. Hanson

  • The spectral geometry of a Riemannian manifold

    Peter B. Gilkey

  • The asymptotics of the Laplacian on a manifold with boundary

    Thomas P. Branson;Peter B. Gilkey

  • Asymptotic Formulae in Spectral Geometry

    Peter B. Gilkey

  • The index theorem and the heat equation

    Peter B. Gilkey

  • Curvature and the eigenvalues of the Laplacian for elliptic complexes

    Peter B Gilkey

  • Heat Content Asymptotics of a Riemannian Manifold with Boundary

    M. Vandenberg;P.B. Gilkey

  • Recursion relations and the asymptotic behavior of the eigenvalues of the laplacian

    Peter B. Gilkey

  • The boundary integrand in the formula for the signature and Euler characteristic of a Riemannian manifold with boundary

    Peter B Gilkey

  • ISOPARAMETRIC GEODESIC SPHERES AND A CONJECTURE OF OSSERMAN CONCERNING THE JACOBI OPERATOR

    Peter Gilkey;Andrew Swann;Lieven Vanhecke

  • The Geometry of Walker Manifolds

    Miguel Brozos-Vázquez;Eduardo García-Río;Peter Gilkey;Stana Nikčević

  • The eta invariant and metrics of positive scalar curvature

    Boris Botvinnik;Peter B. Gilkey

  • A Note on Osserman Lorentzian Manifolds

    Novica Blažić;Neda Bokan;Peter Gilkey

  • Residues of the eta function for an operator of Dirac type

    Thomas P. Branson;Peter B. Gilkey

  • The eta invariant for a class of elliptic boundary value problems

    Peter B. Gilkey;Lance Smith

  • Heat kernel asymptotics with mixed boundary conditions

    Thomas P. Branson;Peter B. Gilkey;Klaus Kirsten;Dmitri V. Vassilevich

  • Geometric Properties of Natural Operators Defined by the Riemann Curvature Tensor

    Peter B Gilkey

  • The residue of the global η function at the origin

    Peter B. Gilkey

  • On the Index of Geometrical Operators for Riemannian-Manifolds with Boundary

    P.B. Gilkey

Frequent Co-Authors

Klaus Kirsten
Klaus Kirsten Baylor University
Thomas P. Branson
Thomas P. Branson University of Iowa
Dmitri Vassilevich
Dmitri Vassilevich Universidade Federal do ABC
Joseph A. Wolf
Joseph A. Wolf University of California, Berkeley
Alexander Grigor'yan
Alexander Grigor'yan Bielefeld University
Gary M. Seitz
Gary M. Seitz University of Oregon

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