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
71

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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