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 33 Citations 6,422 81 World Ranking 2156 National Ranking 916

Research.com Recognitions

Awards & Achievements

1978 - Fellow of John Simon Guggenheim Memorial Foundation

1965 - Fellow of the American Association for the Advancement of Science (AAAS)

1964 - Member of the National Academy of Sciences

1959 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

What is he best known for?

The fields of study Lipman Bers is best known for:

  • Riemann surface
  • Geometric function theory
  • Teichmüller space

Lipman Bers is involved in relevant fields of research such as Flow (mathematics) and Minimal surface in the realm of Geometry. Lipman Bers frequently studies issues relating to Geometry and Flow (mathematics). He regularly ties together related areas like Holomorphic function in his Pure mathematics studies. Mathematical analysis is closely attributed to Gravitational singularity in his study. Lipman Bers conducts interdisciplinary study in the fields of Riemann surface and Teichmüller space through his research. He integrates several fields in his works, including Fiber and Composite material. He performs multidisciplinary studies into Composite material and Fiber in his work. He performs multidisciplinary study in Applied mathematics and Mathematical analysis in his work. He carries out multidisciplinary research, doing studies in Kleinian group and Teichmüller space.

His most cited work include:

  • Riemann's Mapping Theorem for Variable Metrics (542 citations)
  • On Boundaries of Teichmuller Spaces and on Kleinian Groups: I (267 citations)
  • Uniformization, Moduli, and Kleinian Groups† (219 citations)

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

Many of his studies on Pure mathematics apply to Riemann surface, Algebra over a field, Kleinian group and Riemann hypothesis as well. Lipman Bers carries out multidisciplinary research, doing studies in Mathematical analysis and Applied mathematics. Lipman Bers integrates Applied mathematics with Mathematical analysis in his study. His work on Calculus (dental) is being expanded to include thematically relevant topics such as Dentistry. His study in Calculus (dental) extends to Dentistry with its themes. He integrates many fields in his works, including Geometry and Pure mathematics.

Lipman Bers most often published in these fields:

  • Pure mathematics (72.13%)
  • Mathematical analysis (50.82%)
  • Calculus (dental) (18.03%)

What were the highlights of his more recent work (between 1980-1987)?

  • Pure mathematics (100.00%)
  • Holomorphic function (33.33%)
  • Mathematical analysis (33.33%)

In recent works Lipman Bers was focusing on the following fields of study:

His Pure mathematics study has been linked to subjects such as Holomorphic function, Riemann hypothesis and Hyperbolic space. He regularly links together related areas like Pure mathematics in his Holomorphic function studies. He links relevant scientific disciplines such as Riemann hypothesis, Inequality, Hyperbolic space and Iterated function in the realm of Mathematical analysis. His research links Mathematical analysis with Inequality. In his work, he performs multidisciplinary research in Geometry and Discrete mathematics. He connects Discrete mathematics with Geometry in his research. His Quantum mechanics study frequently draws connections to adjacent fields such as Group (periodic table). His study connects Quantum mechanics and Group (periodic table). His Space (punctuation) study frequently links to related topics such as Operating system.

Between 1980 and 1987, his most popular works were:

  • Holomorphic families of injections (176 citations)
  • Finite dimensional Teichmüller spaces and generalizations (123 citations)
  • An Inequality for Riemann Surfaces (50 citations)

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

RIEMANN'S MAPPING THEOREM FOR VARIABLE METRICS*

Lars Ahlfors;Lipman Bers.
Annals of Mathematics (1960)

840 Citations

Mathematical Aspects of Subsonic and Transonic Gas Dynamics

Lipman Bers.
(2016)

614 Citations

On Boundaries of Teichmuller Spaces and on Kleinian Groups: I

Lipman Bers.
Annals of Mathematics (1970)

427 Citations

Uniformization, Moduli, and Kleinian Groups

Lipman Bers.
Bulletin of The London Mathematical Society (1972)

308 Citations

Holomorphic families of injections

Lipman Bers;H. L. Royden.
Acta Mathematica (1986)

286 Citations

Theory of pseudo-analytic functions

Lipman Bers.
(1953)

285 Citations

An extremal problem for quasiconformal mappings and a theorem by Thurston

Lipman Bers.
Acta Mathematica (1978)

244 Citations

Local behavior of solutions of general linear elliptic equations

Lipman Bers.
Communications on Pure and Applied Mathematics (1955)

232 Citations

SPACES OF DEGENERATING RIEMANN SURFACES

Lipman Bers.
(1974)

200 Citations

Fiber spaces over Teichmüller spaces

Lipman Bers.
Acta Mathematica (1973)

198 Citations

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