D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 32 Citations 3,468 178 World Ranking 2454 National Ranking 1031

Research.com Recognitions

Awards & Achievements

2019 - Fellow of the American Academy of Arts and Sciences

2013 - Fellow of the American Mathematical Society

2002 - 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

András Vasy mainly investigates Mathematical analysis, Mathematical physics, Resolvent, Manifold and Wave equation. Mathematical analysis is closely attributed to Anti-de Sitter space in his research. His work deals with themes such as Operator, Symmetry, Black hole and Initial value problem, which intersect with Mathematical physics.

His studies in Resolvent integrate themes in fields like Type, Complex plane, Analytic continuation and Legendre series. The various areas that András Vasy examines in his Manifold study include Convex function and Fourier integral operator. He combines subjects such as Minkowski space and Sectional curvature with his study of Pure mathematics.

His most cited work include:

  • Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces (with an appendix by Semyon Dyatlov) (197 citations)
  • The inverse problem for the local geodesic ray transform (113 citations)
  • Semiclassical Estimates¶in Asymptotically Euclidean Scattering (102 citations)

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

His main research concerns Mathematical analysis, Mathematical physics, Wave equation, Scattering and Resolvent. His studies deal with areas such as Minkowski space and Pure mathematics as well as Mathematical analysis. The study incorporates disciplines such as Spacetime, Infinity and De Sitter space in addition to Mathematical physics.

His study in Wave equation is interdisciplinary in nature, drawing from both Flow, Structure, Bounded function, Asymptotic analysis and Scalar field. His work in the fields of Scattering, such as Scattering theory, overlaps with other areas such as Many body. His work in Resolvent covers topics such as Analytic continuation which are related to areas like Hyperbolic space.

He most often published in these fields:

  • Mathematical analysis (56.02%)
  • Mathematical physics (31.94%)
  • Wave equation (24.08%)

What were the highlights of his more recent work (between 2015-2021)?

  • Mathematical physics (31.94%)
  • Mathematical analysis (56.02%)
  • Minkowski space (15.71%)

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

Mathematical physics, Mathematical analysis, Minkowski space, Wave equation and Metric are his primary areas of study. His Mathematical physics study incorporates themes from Spacetime, Scattering theory and Microlocal analysis. His work on Foliation as part of general Mathematical analysis study is frequently linked to Convexity, bridging the gap between disciplines.

His research integrates issues of Structure and Bounded function in his study of Wave equation. In his study, Resolvent is inextricably linked to Analytic continuation, which falls within the broad field of Scalar. He interconnects Manifold, Pure mathematics and Geodesic, X-ray transform in the investigation of issues within Convex function.

Between 2015 and 2021, his most popular works were:

  • The inverse problem for the local geodesic ray transform (113 citations)
  • The global non-linear stability of the Kerr-de Sitter family of black holes (91 citations)
  • Analysis of linear waves near the Cauchy horizon of cosmological black holes (66 citations)

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

  • Mathematical analysis
  • Quantum mechanics
  • Geometry

His scientific interests lie mostly in Mathematical physics, Geodesic, Microlocal analysis, Mathematical analysis and Einstein. His Mathematical physics research is multidisciplinary, incorporating elements of Work, Spacetime, Wave equation and Scattering theory. While the research belongs to areas of Geodesic, he spends his time largely on the problem of Convex function, intersecting his research to questions surrounding X-ray transform, Pure mathematics, Manifold and Inverse problem.

His study in Rigidity extends to Mathematical analysis with its themes. His Einstein study integrates concerns from other disciplines, such as Cosmological constant and Black hole. His work carried out in the field of Propagator brings together such families of science as Minkowski space, Banach space, Feynman diagram, Sobolev space and Laplace operator.

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.

Best Publications

Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces (with an appendix by Semyon Dyatlov)

András Vasy.
Inventiones Mathematicae (2013)

214 Citations

Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces (with an appendix by Semyon Dyatlov)

András Vasy.
Inventiones Mathematicae (2013)

214 Citations

The inverse problem for the local geodesic ray transform

Gunther Uhlmann;András Vasy.
Inventiones Mathematicae (2016)

135 Citations

The inverse problem for the local geodesic ray transform

Gunther Uhlmann;András Vasy.
Inventiones Mathematicae (2016)

135 Citations

The global non-linear stability of the Kerr-de Sitter family of black holes

Peter Hintz;András Vasy.
Acta Mathematica (2018)

120 Citations

The global non-linear stability of the Kerr-de Sitter family of black holes

Peter Hintz;András Vasy.
Acta Mathematica (2018)

120 Citations

Semiclassical Estimates¶in Asymptotically Euclidean Scattering

András Vasy;Maciej Zworski.
Communications in Mathematical Physics (2000)

113 Citations

Semiclassical Estimates¶in Asymptotically Euclidean Scattering

András Vasy;Maciej Zworski.
Communications in Mathematical Physics (2000)

113 Citations

Propagation of singularities for the wave equation on manifolds with corners

András Vasy.
Annals of Mathematics (2008)

105 Citations

Propagation of singularities for the wave equation on manifolds with corners

András Vasy.
Annals of Mathematics (2008)

105 Citations

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