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.
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