World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
64
Citations
36219
World Ranking
402
National Ranking
214

Peter J. Olver 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 J. Olver 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: 299 publications — 86th percentile

86% of scientists in this discipline score the same or lower.

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

Peter J. Olver 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 J. Olver 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: 64 D-Index — 89th percentile

89% 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

  • 2014 - SIAM Fellow For developing new geometric methods for differential equations leading to applications in fluid mechanics, elasticity, quantum mechanics, and image processing.
  • 2013 - Fellow of the American Mathematical Society

Overview

Peter J. Olver is affiliated with the University of Minnesota in the United States. Their research spans primarily the fields of Mathematics and Physics and Astronomy, with significant contributions in subfields such as Statistical and Nonlinear Physics, Mathematical Physics, Computer Vision and Pattern Recognition, Archeology, and Geometry and Topology.

Their scholarly output includes recent papers covering diverse topics, among them:

  • Use and Misuse of Machine Learning in Anthropology, 2022, published in IEEE BITS the Information Theory Magazine
  • The virtual goniometer: demonstrating a new method for measuring angles on archaeological materials using fragmentary bone, 2021, published in Archaeological and Anthropological Sciences
  • Feature Matching and Heat Flow in Centro-Affine Geometry, 2020, published in Symmetry Integrability and Geometry Methods and Applications
  • Joint differential invariants of binary and ternary forms, 2020, published in Portugaliae Mathematica
  • Dispersive fractalisation in linear and nonlinear Fermi-Pasta-Ulam-Tsingou lattices, 2021, published in European Journal of Applied Mathematics

Frequent co-authors collaborating with Peter J. Olver include Jeff Calder, Katrina Yezzi-Woodley, Changzheng Qu, James Read, and Reed Coil.

Regarding publication venues, their work often appears in:

  • arXiv (Cornell University)
  • Studies in Applied Mathematics
  • European Journal of Applied Mathematics
  • IEEE BITS the Information Theory Magazine
  • Archaeological and Anthropological Sciences

They have contributed to academic literature through book publications with notable publishers. These include:

  • The Philosophy and Physics of Noether's Theorems, published by Cambridge University Press in 2022
  • Linear Algebra, Data Science, and Machine Learning, forthcoming from Springer Nature in 2025

The main topics of research addressed by Peter J. Olver involve:

  • Nonlinear Waves and Solitons
  • Forensic Anthropology and Bioarchaeology Studies
  • Image Processing and 3D Reconstruction
  • Algebraic structures and combinatorial models
  • Pleistocene-Era Hominins and Archaeology
  • Nonlinear Photonic Systems
  • Advanced Mathematical Physics Problems

Their recognized awards include being named a SIAM Fellow in 2014, cited for developing new geometric methods in differential equations with applications in fluid mechanics, elasticity, quantum mechanics, and image processing. They were also named a Fellow of the American Mathematical Society in 2013.

Best Publications

  • Applications of Lie Groups to Differential Equations

    Peter J. Olver

  • Equivalence, invariants, and symmetry

    Peter J. Olver

  • Gradient flows and geometric active contour models

    S. Kichenassamy;A. Kumar;P. Olver;A. Tannenbaum

  • A geometric snake model for segmentation of medical imagery

    A. Yezzi;S. Kichenassamy;A. Kumar;P. Olver

  • Tri-Hamiltonian duality between solitons and solitary-wave solutions having compact support.

    Peter J. Olver;Philip Rosenau

  • Classical invariant theory

    Peter J. Olver

  • Evolution equations possessing infinitely many symmetries

    Peter J. Olver

  • Well-posedness and Blow-up Solutions for an Integrable Nonlinearly Dispersive Model Wave Equation

    Yi A Li;Peter J Olver

  • Conformal curvature flows: From phase transitions to active vision

    Satyanad Kichenassamy;Arun Kumar;Peter Olver;Allen Tannenbaum

  • Moving Coframes: II. Regularization and Theoretical Foundations

    Mark Fels;Peter J. Olver

  • Moving coframes. I. A practical algorithm

    Mark Fels;Peter J. Olver

  • Null Lagrangians, weak continuity, and variational problems of arbitrary order

    J.M Ball;J.C Currie;P.J Olver

  • Introduction to Partial Differential Equations

    Peter J. Olver

  • The construction of special solutions to partial differential equations

    Peter J. Olver;Philip Rosenau

  • Group-invariant solutions of differential equations

    Peter J. Olver;Philip Rosenau

  • Euler operators and conservation laws of the BBM equation

    Peter J. Olver

  • Differential and Numerically Invariant Signature Curves Applied to Object Recognition

    Eugenio Calabi;Peter J. Olver;Chehrzad Shakiban;Allen Tannenbaum

  • Wave-Breaking and Peakons for a Modified Camassa-Holm Equation

    Guilong Gui;Guilong Gui;Yue Liu;Peter J. Olver;Changzheng Qu

  • Existence and nonexistence of solitary wave solutions to higher-order model evolution equations

    Satyanad Kichenassamy;Peter J. Olver

  • Integrable Evolution Equations on Associative Algebras

    Peter J. Olver;Vladimir V. Sokolov

  • Applied linear algebra

    Peter J Olver;Chehrzad Shakiban

  • Linear and Nonlinear Waves

    Peter J. Olver

Frequent Co-Authors

Allen Tannenbaum
Allen Tannenbaum Stony Brook University
Niky Kamran
Niky Kamran McGill University
Pavel Winternitz
Pavel Winternitz University of Montreal
Decio Levi
Decio Levi Roma Tre University
Guillermo Sapiro
Guillermo Sapiro Princeton University
Philip Rosenau
Philip Rosenau Tel Aviv University
Anthony Yezzi
Anthony Yezzi Georgia Institute of Technology
Yue Liu
Yue Liu The University of Texas at Arlington
Gerald Sommer
Gerald Sommer Kiel University
Endre Süli
Endre Süli University of Oxford

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