Gunther Uhlmann

Mathematical Physics · 2000–2021

A researcher in the Science corpus: 42 papers; trusts 84 researchers and is trusted by 54 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 185 citations into it; #89 of 8,562 by trust here, #27 by citations
• Computational Theory and Mathematics — 148 citations into it; #520 of 12,182 by trust here, #354 by citations
• Applied Mathematics — 141 citations into it; #316 of 7,620 by trust here, #209 by citations
• Mechanics of Materials — 50 citations into it; #740 of 6,291 by trust here, #958 by citations
• Biomedical Engineering — 33 citations into it; #263 of 10,734 by trust here, #2,060 by citations
• Statistical and Nonlinear Physics — 15 citations into it
• Control and Systems Engineering — 14 citations into it
• Computational Mechanics — 13 citations into it

Whom Gunther Uhlmann trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Matti Lassas
2. Plamen Stefanov
3. Carlos E. Kenig
4. Kari ASTALA *
5. David dos Santos Ferreira
6. Oleg Yu. Imanuvilov
7. A. Bukhgeǐm
8. Mikko Salo
9. Allan Greenleaf
10. Russell M. Brown

Who trusts Gunther Uhlmann overall

1. Plamen Stefanov
2. Katya Krupchyk
3. Mikko Salo
4. David dos Santos Ferreira
5. Matti Lassas
6. Tuhin Ghosh
7. Yi-Hsuan Lin
8. Carlos E. Kenig
9. Ru-Yu Lai
10. C. Guillarmou

Papers from Gunther Uhlmann's perspective

Ordered by how strongly the researchers Gunther Uhlmann trusts endorse each paper. Same corpus, a different order for every researcher.

1. On an inverse boundary value problem
2. The Dirichlet-to-Neumann map for complete Riemannian manifolds with boundary
3. The Calderón problem with partial data
4. Inverse Boundary Spectral Problems
5. Calderon's inverse conductivity problem in the plane
6. The Calderón problem with partial data in two dimensions
7. Limiting Carleman weights and anisotropic inverse problems
8. Geometric Function Theory and Non-linear Analysis
9. On nonuniqueness for Calderón’s inverse problem
10. Two dimensional compact simple Riemannian manifolds are boundary distance rigid

Their papers

• The Calderón problem with partial data (2004) — 420 citations
• The Dirichlet-to-Neumann map for complete Riemannian manifolds with boundary (2003) — 185 citations
• Determining a Magnetic Schrödinger Operator from Partial Cauchy Data (2006) — 187 citations
• The Calderón problem with partial data in two dimensions (2010) — 174 citations
• Two dimensional compact simple Riemannian manifolds are boundary distance rigid (2003) — 239 citations
• On nonuniqueness for Calderón’s inverse problem (2003) — 422 citations
• Stability estimates for the X-ray transform of tensor fields and boundary rigidity (2004) — 163 citations
• Electrical impedance tomography and Calderón's problem (2009) — 433 citations
• Boundary rigidity and stability for generic simple metrics (2004) — 180 citations
• On determining a Riemannian manifold from the Dirichlet-to-Neumann map (2001) — 248 citations
• Inverse problems: seeing the unseen (2014) — 158 citations
• The inverse problem for the local geodesic ray transform (2012) — 194 citations
• The X-Ray Transform for a Generic Family of Curves and Weights (2007) — 121 citations
• The Calderón problem for the fractional Schrödinger equation (2016) — 175 citations
• On Deformation Boundary Rigidity and Spectral Rigidity of Riemannian Surfaces with No Focal Points (2000) — 58 citations
• Inverse problems for the fractional-Laplacian with lower order non-local perturbations (2021) — 69 citations
• Partial Cauchy data for general second order elliptic operators in two dimensions (2010) — 50 citations
• A remark on partial data inverse problems for semilinear elliptic equations (2019) — 111 citations
• Partial data inverse problems for semilinear elliptic equations with gradient nonlinearities (2019) — 86 citations
• Uniqueness and reconstruction for the fractional Calderón problem with a single measurement (2018) — 147 citations