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 37 Citations 5,533 103 World Ranking 1689 National Ranking 739

Research.com Recognitions

Awards & Achievements

2013 - Fellow of the American Mathematical Society

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • General relativity

Michael T. Anderson focuses on Mathematical analysis, Sectional curvature, Riemann curvature tensor, Scalar curvature and Curvature. His research in Mathematical analysis intersects with topics in Einstein, Boundary, Pure mathematics and Negative curvature. His Einstein study incorporates themes from Product metric, Equivalence of metrics, Einstein tensor and Moduli space.

His Ricci curvature research extends to Riemann curvature tensor, which is thematically connected. His studies in Ricci curvature integrate themes in fields like Curvature of Riemannian manifolds and Ricci-flat manifold. His Curvature study integrates concerns from other disciplines, such as Differential, Renormalization and Subharmonic function.

His most cited work include:

  • Convergence and rigidity of manifolds under Ricci curvature bounds (325 citations)
  • Positive harmonic functions on complete manifolds of negative curvature (243 citations)
  • Ricci curvature bounds and Einstein metrics on compact manifolds (221 citations)

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

His primary areas of investigation include Mathematical analysis, Pure mathematics, Einstein, Scalar curvature and Mathematical physics. His Mathematical analysis research incorporates themes from Mean curvature, Curvature and Boundary. His biological study spans a wide range of topics, including Conformal map and Equivalence of metrics.

As a member of one scientific family, Michael T. Anderson mostly works in the field of Einstein, focusing on Uniqueness and, on occasion, Boundary data and Black hole. His work on Sectional curvature and Prescribed scalar curvature problem is typically connected to Geometrization conjecture as part of general Scalar curvature study, connecting several disciplines of science. His studies examine the connections between Ricci curvature and genetics, as well as such issues in Curvature of Riemannian manifolds, with regards to Ricci-flat manifold.

He most often published in these fields:

  • Mathematical analysis (44.19%)
  • Pure mathematics (31.78%)
  • Einstein (26.36%)

What were the highlights of his more recent work (between 2009-2021)?

  • Mathematical analysis (44.19%)
  • Mean curvature (17.05%)
  • Einstein equations (15.50%)

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

Michael T. Anderson mainly focuses on Mathematical analysis, Mean curvature, Einstein equations, Einstein and Pure mathematics. He has included themes like Boundary and Scalar curvature in his Mathematical analysis study. Michael T. Anderson interconnects Mathematical proof, Ricci curvature and GEOM in the investigation of issues within Scalar curvature.

In his study, Degree and Gauss is inextricably linked to Metric, which falls within the broad field of Mean curvature. In his work, Boundary value problem is strongly intertwined with Uniqueness, which is a subfield of Einstein equations. His research integrates issues of Gaussian curvature, Conformal map, Perspective and Generalization in his study of Pure mathematics.

Between 2009 and 2021, his most popular works were:

  • Long-range and short-range dihadron angular correlations in central PbPb collisions at a nucleon-nucleon center of mass energy of 2.76 TeV (91 citations)
  • Long-range and short-range dihadron angular correlations in central PbPb collisions at a nucleon-nucleon center of mass energy of 2.76 TeV (91 citations)
  • Jet production rates in association with W and Z bosons in pp collisions at √s = 7 TeV (55 citations)

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

  • Mathematical analysis
  • Quantum mechanics
  • General relativity

His primary scientific interests are in Particle physics, Nuclear physics, Pure mathematics, Mathematical analysis and Einstein equations. The Large Hadron Collider, Quark–gluon plasma and Nucleon research Michael T. Anderson does as part of his general Particle physics study is frequently linked to other disciplines of science, such as Delta, therefore creating a link between diverse domains of science. In general Nuclear physics, his work in Pseudorapidity, Range and Compact Muon Solenoid is often linked to W′ and Z′ bosons linking many areas of study.

His Pure mathematics research is multidisciplinary, relying on both Einstein and Boundary. His work in Einstein equations covers topics such as Extension which are related to areas like Uniqueness and Boundary value problem. His work on Ricci decomposition as part of his general Scalar curvature study is frequently connected to Continuation, thereby bridging the divide between different branches of science.

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

Convergence and rigidity of manifolds under Ricci curvature bounds

Michael T. Anderson.
Inventiones Mathematicae (1990)

516 Citations

Positive harmonic functions on complete manifolds of negative curvature

Michael T. Anderson;Richard Schoen.
Annals of Mathematics (1985)

373 Citations

Ricci curvature bounds and Einstein metrics on compact manifolds

Michael T. Anderson.
Journal of the American Mathematical Society (1989)

340 Citations

Complete minimal varieties in hyperbolic space

Michael T. Anderson.
Inventiones Mathematicae (1982)

264 Citations

$C^lpha$-compactness for manifolds with Ricci curvature and injectivity radius bounded below

Michael T. Anderson;Jeff Cheeger.
Journal of Differential Geometry (1992)

240 Citations

The Dirichlet problem at infinity for manifolds of negative curvature

Michael T. Anderson.
Journal of Differential Geometry (1983)

226 Citations

Complete minimal hypersurfaces in hyperbolicn-manifolds

Michael T. Anderson.
Commentarii Mathematici Helvetici (1983)

182 Citations

L^2 curvature and volume renormalization of AHE metrics on 4-manifolds

Michael T. Anderson.
Mathematical Research Letters (2001)

162 Citations

TheL2 structure of moduli spaces of Einstein metrics on 4-manifolds

M. T. Anderson.
Geometric and Functional Analysis (1992)

148 Citations

Long-range and short-range dihadron angular correlations in central PbPb collisions at a nucleon-nucleon center of mass energy of 2.76 TeV

S. Chatrchyan;V. Khachatryan;A. M. Sirunyan;A. Tumasyan.
Journal of High Energy Physics (2011)

144 Citations

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