H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 74 Citations 18,868 339 World Ranking 85 National Ranking 52

Research.com Recognitions

Awards & Achievements

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

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Geometry

His primary scientific interests are in Mathematical analysis, Inverse problem, Boundary, Uniqueness and Boundary value problem. His Mathematical analysis study frequently links to adjacent areas such as Inverse. His Inverse problem research includes themes of Geometrical optics, Surface, Conductivity, Neumann series and Calculus.

His Boundary research integrates issues from Current, Current, Voltage, Cauchy distribution and Anisotropy. The various areas that he examines in his Uniqueness study include Speed of sound and Partial differential equation. His biological study spans a wide range of topics, including Elliptic curve and Bounded function.

His most cited work include:

  • A global uniqueness theorem for an inverse boundary value problem (1313 citations)
  • On nonuniqueness for Calderón’s inverse problem (422 citations)
  • The Calderón problem with partial data (393 citations)

What are the main themes of his work throughout his whole career to date?

His scientific interests lie mostly in Mathematical analysis, Inverse problem, Boundary, Geodesic and Pure mathematics. His biological study deals with issues like Inverse, which deal with fields such as Boundary problem. His research investigates the link between Inverse problem and topics such as Scattering that cross with problems in Cloak and Cloaking.

The Boundary study combines topics in areas such as Riemannian manifold, Operator, Convex function, Wave equation and Cauchy distribution. He has researched Riemannian manifold in several fields, including Conformal map and Metric. Gunther Uhlmann combines subjects such as Simple, Manifold, Conjugate points and Tensor field with his study of Geodesic.

He most often published in these fields:

  • Mathematical analysis (88.87%)
  • Inverse problem (44.71%)
  • Boundary (45.80%)

What were the highlights of his more recent work (between 2016-2021)?

  • Mathematical analysis (88.87%)
  • Inverse problem (44.71%)
  • Boundary (45.80%)

In recent papers he was focusing on the following fields of study:

Gunther Uhlmann mainly focuses on Mathematical analysis, Inverse problem, Boundary, Manifold and Geodesic. His work carried out in the field of Mathematical analysis brings together such families of science as Isotropy, Inverse and Nonlinear system. His Inverse problem research integrates issues from Theoretical physics, Harmonic function, X-ray transform, Applied mathematics and Piecewise.

His Boundary research includes themes of Riemannian manifold, Boundary value problem, Convex function, Uniqueness and Domain. His work deals with themes such as Differentiable function, Tensor field, Conjugate points and Mathematical physics, which intersect with Manifold. His work in Geodesic tackles topics such as Inversion which are related to areas like Range.

Between 2016 and 2021, his most popular works were:

  • Inverse problems for Lorentzian manifolds and non-linear hyperbolic equations (51 citations)
  • Inverse problems for Lorentzian manifolds and non-linear hyperbolic equations (51 citations)
  • Inverse Problems for Semilinear Wave Equations on Lorentzian Manifolds (51 citations)

In his most recent research, the most cited papers focused on:

  • Quantum mechanics
  • Mathematical analysis
  • Geometry

The scientist’s investigation covers issues in Mathematical analysis, Inverse problem, Boundary, Geodesic and Manifold. Gunther Uhlmann has researched Mathematical analysis in several fields, including Scattering, Linearization and Scalar. The concepts of his Inverse problem study are interwoven with issues in Metric, Harmonic function, Inverse, Uniqueness and Nonlinear system.

While the research belongs to areas of Geodesic, he spends his time largely on the problem of Riemannian manifold, intersecting his research to questions surrounding Anisotropy, Tomography, Rigidity and Geodesy. His Manifold study combines topics from a wide range of disciplines, such as Magnetic potential, Magnetic field and Electric potential. His research in Pure mathematics intersects with topics in Convex function and X-ray transform.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Top Publications

A global uniqueness theorem for an inverse boundary value problem

John Sylvester;Gunther Uhlmann.
Annals of Mathematics (1987)

1569 Citations

On nonuniqueness for Calderón’s inverse problem

Allan Greenleaf;Matti Lassas;Gunther Uhlmann.
Mathematical Research Letters (2003)

480 Citations

Anisotropic conductivities that cannot be detected by EIT.

Allan Greenleaf;Matti Lassas;Gunther Uhlmann.
Physiological Measurement (2003)

405 Citations

Determining anisotropic real-analytic conductivities by boundary measurements

John M. Lee;Gunther Uhlmann.
Communications on Pure and Applied Mathematics (1989)

395 Citations

Electrical impedance tomography and Calderón's problem

Gunther Uhlmann.
Inverse Problems (2009)

358 Citations

The Calderón problem with partial data

Carlos E. Kenig;Johannes Sjöstrand;Gunther Uhlmann.
Annals of Mathematics (2007)

341 Citations

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

Russell M. Brown;Gunther A. Uhlmann.
Communications in Partial Differential Equations (1997)

334 Citations

Electromagnetic wormholes and virtual magnetic monopoles from metamaterials.

Allan Greenleaf;Yaroslav Kurylev;Matti Lassas;Gunther Uhlmann.
Physical Review Letters (2007)

287 Citations

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

John Sylvester;Gunther Uhlmann.
Communications on Pure and Applied Mathematics (1986)

284 Citations

Full-Wave Invisibility of Active Devices at All Frequencies

Allan Greenleaf;Yaroslav V. Kurylev;Matti Lassas;Gunther Uhlmann.
Communications in Mathematical Physics (2007)

277 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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