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 3,199 114 World Ranking 2458 National Ranking 1033

Research.com Recognitions

Awards & Achievements

2009 - Fellow of Alfred P. Sloan Foundation

Overview

What is he best known for?

The fields of study he is best known for:

  • Algebra
  • Combinatorics
  • Pure mathematics

Thomas Lam mainly focuses on Combinatorics, Grassmannian, Pure mathematics, Schubert calculus and Amplituhedron. His research in Combinatorics intersects with topics in Discrete mathematics and Algebra. His work carried out in the field of Grassmannian brings together such families of science as Preference, Generalized flag variety, Bijection, Canonical form and Diagram.

His Pure mathematics study incorporates themes from Phenomenon, Connection, Loop and Cluster algebra. His Schubert calculus research incorporates elements of Bruhat decomposition, Schubert variety and Weyl group. Thomas Lam interconnects Boundary, Differential form and Methods of contour integration in the investigation of issues within Amplituhedron.

His most cited work include:

  • Positroid varieties: juggling and geometry (134 citations)
  • Positive Geometries and Canonical Forms (133 citations)
  • AFFINE STANLEY SYMMETRIC FUNCTIONS (110 citations)

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

His primary areas of study are Combinatorics, Pure mathematics, Affine transformation, Grassmannian and Schubert calculus. Combinatorics connects with themes related to Discrete mathematics in his study. The Pure mathematics study combines topics in areas such as Canonical form, Type, Cluster algebra, Algebra and Loop.

As a part of the same scientific study, he usually deals with the Affine transformation, concentrating on Weyl group and frequently concerns with Automorphism. His study in Grassmannian is interdisciplinary in nature, drawing from both Polytope, Amplituhedron, Scattering amplitude, Stratification and Boundary. His biological study spans a wide range of topics, including Equivariant map, Schubert polynomial, Cohomology, Schubert variety and Affine Grassmannian.

He most often published in these fields:

  • Combinatorics (62.78%)
  • Pure mathematics (42.78%)
  • Affine transformation (22.78%)

What were the highlights of his more recent work (between 2016-2021)?

  • Combinatorics (62.78%)
  • Grassmannian (25.56%)
  • Pure mathematics (42.78%)

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

Thomas Lam mainly investigates Combinatorics, Grassmannian, Pure mathematics, Polytope and Canonical form. His work deals with themes such as Affine transformation, Linear combination, Stratification, Ball and Variety, which intersect with Combinatorics. His Grassmannian research includes themes of Amplituhedron, Scattering amplitude, Boundary, Space and Differential form.

In his research, Structure constants, Isomorphism, Algebra and Quantum cohomology is intimately related to Quantum, which falls under the overarching field of Pure mathematics. Thomas Lam combines subjects such as Associahedron and Type, Cluster algebra with his study of Canonical form. His Equivariant map study integrates concerns from other disciplines, such as Subalgebra, Schubert polynomial, Stanley symmetric function, Symmetric function and Schubert calculus.

Between 2016 and 2021, his most popular works were:

  • Positive Geometries and Canonical Forms (133 citations)
  • Stringy Canonical Forms (26 citations)
  • The totally nonnegative Grassmannian is a ball (26 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

Positroid varieties: juggling and geometry

Allen Knutson;Thomas Lam;David E. Speyer.
Compositio Mathematica (2013)

186 Citations

Positroid varieties: juggling and geometry

Allen Knutson;Thomas Lam;David E. Speyer.
Compositio Mathematica (2013)

186 Citations

Positive Geometries and Canonical Forms

Nima Arkani-Hamed;Yuntao Bai;Thomas Lam.
Journal of High Energy Physics (2017)

170 Citations

Positive Geometries and Canonical Forms

Nima Arkani-Hamed;Yuntao Bai;Thomas Lam.
Journal of High Energy Physics (2017)

170 Citations

Alcoved Polytopes, I

Thomas Lam;Alexander Postnikov.
Discrete and Computational Geometry (2007)

132 Citations

Alcoved Polytopes, I

Thomas Lam;Alexander Postnikov.
Discrete and Computational Geometry (2007)

132 Citations

Quantum cohomology of G/P and homology of affine Grassmannian

Thomas Lam;Mark Shimozono.
Acta Mathematica (2010)

126 Citations

Quantum cohomology of G/P and homology of affine Grassmannian

Thomas Lam;Mark Shimozono.
Acta Mathematica (2010)

126 Citations

AFFINE STANLEY SYMMETRIC FUNCTIONS

Thomas Lam.
American Journal of Mathematics (2006)

124 Citations

AFFINE STANLEY SYMMETRIC FUNCTIONS

Thomas Lam.
American Journal of Mathematics (2006)

124 Citations

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David E Speyer

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University of Michigan–Ann Arbor

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Institute for Advanced Study

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