2009 - Fellow of Alfred P. Sloan Foundation
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 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.
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.
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Positroid varieties: juggling and geometry
Allen Knutson;Thomas Lam;David E. Speyer.
Compositio Mathematica (2013)
Positroid varieties: juggling and geometry
Allen Knutson;Thomas Lam;David E. Speyer.
Compositio Mathematica (2013)
Positive Geometries and Canonical Forms
Nima Arkani-Hamed;Yuntao Bai;Thomas Lam.
Journal of High Energy Physics (2017)
Positive Geometries and Canonical Forms
Nima Arkani-Hamed;Yuntao Bai;Thomas Lam.
Journal of High Energy Physics (2017)
Alcoved Polytopes, I
Thomas Lam;Alexander Postnikov.
Discrete and Computational Geometry (2007)
Alcoved Polytopes, I
Thomas Lam;Alexander Postnikov.
Discrete and Computational Geometry (2007)
Quantum cohomology of G/P and homology of affine Grassmannian
Thomas Lam;Mark Shimozono.
Acta Mathematica (2010)
Quantum cohomology of G/P and homology of affine Grassmannian
Thomas Lam;Mark Shimozono.
Acta Mathematica (2010)
AFFINE STANLEY SYMMETRIC FUNCTIONS
Thomas Lam.
American Journal of Mathematics (2006)
AFFINE STANLEY SYMMETRIC FUNCTIONS
Thomas Lam.
American Journal of Mathematics (2006)
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