World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
51
Citations
11154
World Ranking
1021
National Ranking
474

Peter Kuchment 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 Kuchment 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: 168 publications — 47th percentile

47% of scientists in this discipline score the same or lower.

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

Peter Kuchment 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 Kuchment 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: 51 D-Index — 73rd percentile

73% 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

  • 2018 - SIAM Fellow For landmark contributions to mathematical physics and inverse problems.
  • 2015 - Fellow of the American Association for the Advancement of Science (AAAS)
  • 2013 - Fellow of the American Mathematical Society

Overview

Peter Kuchment is affiliated with Texas A&M University in the United States. Their research primarily spans the fields of Mathematics and Computer Science, with significant contributions in subfields such as Mathematical Physics, Computational Theory and Mathematics, Applied Mathematics, Statistical and Nonlinear Physics, and Geometry and Topology.

The scientist's work addresses several main topics, including:

  • Spectral Theory in Mathematical Physics
  • Advanced Mathematical Modeling in Engineering
  • Advanced mathematical theories
  • Nonlinear Waves and Solitons
  • Numerical methods in inverse problems
  • Holomorphic and Operator Theory
  • Advanced Operator Algebra Research

Peter Kuchment has co-authored extensively with several researchers, frequently collaborating with Minh Kha, Maxim Braverman, Leonid Friedlander, Victor Ivrii, and Yuri A. Kordyukov.

The scientist has published their work in various academic venues, with multiple publications appearing in:

  • arXiv (Cornell University)
  • Journal of Mathematical Physics
  • Notices of the American Mathematical Society
  • Complex Analysis and Operator Theory
  • Helda (University of Helsinki)

Recent publications include:

  • "Analytic and algebraic properties of dispersion relations (Bloch varieties) and Fermi surfaces. What is known and unknown", 2023, Journal of Mathematical Physics
  • "Three-Representation Problem in Banach Spaces", 2021, Complex Analysis and Operator Theory
  • "Liouville-Riemann-Roch Theorems on Abelian Coverings", 2021, Springer Nature (book publication)
  • "Generic properties of dispersion relations for discrete periodic operators", 2020, Journal of Mathematical Physics
  • "Dispersion relations and spectra of periodically perforated structures", 2020, Helda (University of Helsinki)
  • "Mikhail Aleksandrovich Shubin (1944-2020)", 2020, Notices of the American Mathematical Society

Peter Kuchment's academic distinctions include being named a SIAM Fellow in 2018 for landmark contributions to mathematical physics and inverse problems. They were also recognized as a Fellow of the American Association for the Advancement of Science (AAAS) in 2015 and as a Fellow of the American Mathematical Society in 2013.

Best Publications

  • Introduction to Quantum Graphs

    Gregory Berkolaiko;Peter Kuchment

  • Floquet Theory for Partial Differential Equations

    Peter Kuchment

  • Quantum graphs: I. Some basic structures

    Peter Kuchment

  • Reconstructions in limited-view thermoacoustic tomography

    Yuan Xu;Lihong V. Wang;Gaik Ambartsoumian;Peter Kuchment

  • Mathematics of thermoacoustic tomography

    Peter Kuchment;Leonid Kunyansky

  • Reconstruction and time reversal in thermoacoustic tomography in acoustically homogeneous and inhomogeneous media

    Yulia Hristova;Peter Kuchment;Linh Nguyen

  • Graph models for waves in thin structures

    Peter Kuchment

  • Quantum graphs: II. Some spectral properties of quantum and combinatorial graphs

    Peter Kuchment

  • An overview of periodic elliptic operators

    Peter Kuchment

  • The mathematics of photonic crystals

    Peter Kuchment

  • On the Spectra of Carbon Nano-Structures

    Peter Kuchment;Olaf Post

  • An Efficient Finite Element Method for Computing Spectra of Photonic and Acoustic Band-Gap Materials

    Waldemar Axmann;Peter Kuchment

  • Analysis on graphs and its applications

    Pavel Exner;Jonathan Keating;Peter Kuchment;Toshikazu Sunada

  • Quantum Graphs and Their Applications

    Gregory Berkolaiko;Robert Carlson;Stephen A. Fulling;Peter Kuchment

  • Band-gap structure of spectra of periodic dielectric and acoustic median I: scalar model

    Alex Figotin;Peter Kuchment

  • Convergence of Spectra of Mesoscopic Systems Collapsing onto a Graph

    Peter Kuchment;Hongbiao Zeng

  • Band-gap structure of spectra of periodic dielectric and acoustic media II: two-dimensional photonic crystals

    A. Figotin;P. Kuchment

  • Uniqueness of reconstruction and an inversion procedure for thermoacoustic and photoacoustic tomography with variable sound speed

    Mark Agranovsky;Peter Kuchment

  • The Radon Transform and Medical Imaging

    Peter Kuchment

  • Uniqueness of reconstruction and an inversion procedure for thermoacoustic and photoacoustic tomography

    Mark Agranovsky;Peter Kuchment

  • On local tomography

    P Kuchment;K Lancaster;L Mogilevskaya

  • Waves in Periodic and Random Media

    Peter Kuchment

Frequent Co-Authors

Gregory Berkolaiko
Gregory Berkolaiko Texas A&M University
Vladimir Maz'ya
Vladimir Maz'ya Linköping University
Pavel Exner
Pavel Exner Czech Technical University in Prague
Daniele C. Struppa
Daniele C. Struppa Chapman University
Gunther Uhlmann
Gunther Uhlmann University of Washington
Guillaume Bal
Guillaume Bal University of Chicago
Plamen Stefanov
Plamen Stefanov Purdue University West Lafayette
Frank Sottile
Frank Sottile Texas A&M University
Bani K. Mallick
Bani K. Mallick Texas A&M University
Lihong V. Wang
Lihong V. Wang California Institute of Technology

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