World's Best Scientists 2026 revealed!
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Mathematics
USA
2026

D-Index & Metrics

Mathematics

D-Index
83
Citations
22724
World Ranking
123
National Ranking
72

Gunther Uhlmann 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 Gunther Uhlmann 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: 375 publications — 92nd percentile

92% of scientists in this discipline score the same or lower.

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

Gunther Uhlmann 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 Gunther Uhlmann 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: 83 D-Index — 97th percentile

97% 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

  • 2026 - Research.com Mathematics in United States Leader Award
  • 2025 - Research.com Mathematics in United States Leader Award
  • 2013 - Fellow of the American Mathematical Society
  • 2010 - SIAM Fellow For contributions to the analysis of inverse problems and partial differential equations.
  • 2009 - Fellow of the American Academy of Arts and Sciences
  • 2001 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1984 - Fellow of Alfred P. Sloan Foundation

Overview

Gunther Uhlmann is affiliated with the University of Washington in the United States. The primary fields of study encompass Mathematics, Engineering, and Computer Science. Their research deeply engages with subfields such as Mathematical Physics, Computational Theory and Mathematics, Applied Mathematics, Mechanics of Materials, and Biomedical Engineering.

The main topics covered in their work include Numerical Methods in Inverse Problems, Advanced Mathematical Modeling in Engineering, Thermoelastic and Magnetoelastic Phenomena, Spectral Theory in Mathematical Physics, Nonlinear Partial Differential Equations, Geometric Analysis and Curvature Flows, and Differential Equations and Boundary Problems.

Selected recent papers authored or co-authored by Gunther Uhlmann are:

  • Uniqueness and reconstruction for the fractional Calderón problem with a single measurement (2020), Journal of Functional Analysis
  • Local and global boundary rigidity and the geodesic X-ray transform in the normal gauge (2021), Annals of Mathematics
  • Inverse problems for the fractional-Laplacian with lower order non-local perturbations (2021), Transactions of the American Mathematical Society
  • On an inverse boundary value problem for a nonlinear elastic wave equation (2021), Journal de Mathématiques Pures et Appliquées
  • Inverse problem for Einstein-scalar field equations (2022), Duke Mathematical Journal

The frequent co-authors collaborating with Gunther Uhlmann include:

  • Mikko Salo (23 publications)
  • Gabriel P. Paternain (18 publications)
  • Katya Krupchyk (17 publications)
  • Jian Zhai (12 publications)
  • Yavar Kian (11 publications)

The scientist has published extensively in venues such as arXiv (Cornell University) with 43 publications, SIAM Journal on Mathematical Analysis (5), Transactions of the American Mathematical Society (3), Communications in Partial Differential Equations (3), and Journal of Functional Analysis (2).

Regarding book publications, there is a record of one book published through Cambridge University Press titled Geometric Inverse Problems (2023), which has accumulated 34 citations.

Gunther Uhlmann has been recognized by several awards and fellowships, including:

  • Fellow of the American Mathematical Society (2013)
  • SIAM Fellow (2010), for contributions to the analysis of inverse problems and partial differential equations
  • Fellow of the American Academy of Arts and Sciences (2009)
  • Fellow of John Simon Guggenheim Memorial Foundation (2001)
  • Fellow of Alfred P. Sloan Foundation (1984)

Best Publications

  • A global uniqueness theorem for an inverse boundary value problem

    John Sylvester;Gunther Uhlmann

  • The Calderón problem with partial data

    Carlos E. Kenig;Johannes Sjöstrand;Gunther Uhlmann

  • On nonuniqueness for Calderón’s inverse problem

    Allan Greenleaf;Matti Lassas;Gunther Uhlmann

  • Determining anisotropic real-analytic conductivities by boundary measurements

    John M. Lee;Gunther Uhlmann

  • Electrical impedance tomography and Calderón's problem

    Gunther Uhlmann

  • Anisotropic conductivities that cannot be detected by EIT.

    Allan Greenleaf;Matti Lassas;Gunther Uhlmann

  • Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions

    Russell M. Brown;Gunther A. Uhlmann

  • Electromagnetic wormholes and virtual magnetic monopoles from metamaterials.

    Allan Greenleaf;Yaroslav Kurylev;Matti Lassas;Gunther Uhlmann

  • Thermoacoustic tomography with variable sound speed

    Plamen D. Stefanov;Gunther Uhlmann

  • A uniqueness theorem for an inverse boundary value problem in electrical prospection

    John Sylvester;Gunther Uhlmann

  • RECOVERING A POTENTIAL FROM PARTIAL CAUCHY DATA

    Alexander L. Bukhgeim;Gunther Uhlmann

  • Limiting Carleman weights and anisotropic inverse problems

    David Dos Santos Ferreira;Carlos E. Kenig;Mikko Salo;Gunther Uhlmann

  • Cloaking Devices, Electromagnetic Wormholes, and Transformation Optics

    Allan Greenleaf;Yaroslav Kurylev;Matti Lassas;Gunther Uhlmann

  • Full-Wave Invisibility of Active Devices at All Frequencies

    Allan Greenleaf;Yaroslav V. Kurylev;Matti Lassas;Gunther Uhlmann

  • An n -dimensional Borg-Levinson theorem

    Adrian I. Nachman;John Sylvester;Gunther Uhlmann

  • Two dimensional compact simple Riemannian manifolds are boundary distance rigid

    Leonid N. Pestov;Gunther Uhlmann

  • Global uniqueness for an inverse boundary value problem arising in elasticity

    Gen Nakamura;Gunther Uhlmann

  • Inverse boundary value problems at the boundary—continuous dependence

    John Sylvester;Gunther Uhlmann

  • Lagrangian Intersection and the Cauchy Problem

    Richard B. Melrose;Gunther Uhlmann

  • The Calderón problem with partial data in two dimensions

    Oleg Yu. Imanuvilov;Gunther Uhlmann;Masahiro Yamamoto

  • The Calder'on problem with partial data

    C. E. Kenig;J. Sjoestrand;G. Uhlmann

  • The Calderón problem with partial data

    Johannes Sjöstrand

Frequent Co-Authors

Matti Lassas
Matti Lassas University of Helsinki
Plamen Stefanov
Plamen Stefanov Purdue University West Lafayette
Mikko Salo
Mikko Salo University of Jyväskylä
András Vasy
András Vasy Stanford University
Maarten V. de Hoop
Maarten V. de Hoop Rice University
Gabriel P. Paternain
Gabriel P. Paternain University of Cambridge
Carlos E. Kenig
Carlos E. Kenig University of Chicago
Masahiro Yamamoto
Masahiro Yamamoto University of Tokyo
Hongyu Liu
Hongyu Liu City University of Hong Kong
Guillaume Bal
Guillaume Bal University of Chicago

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