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papers

Publications (73)

math.AG2017

A conjectural Peterson isomorphism in K-theory

Thomas Lam, Changzheng Li, Leonardo C. Mihalcea +1

math.PR2015

The shape of a random affine Weyl group element and random core partitions

Thomas Lam

math.RT2010

Affine geometric crystals in unipotent loop groups

Thomas Lam, Pavlo Pylyavskyy

math.AG2007

Quantum cohomology of G/P and homology of affine Grassmannian

Thomas Lam, Mark Shimozono

math.CO2006

A Little bijection for affine Stanley symmetric functions

Thomas Lam, Mark Shimozono

math.CO2006

Alcoved Polytopes I

Thomas Lam, Alexander Postnikov

math.CO2003

Growth diagrams, Domino insertion and Sign-imbalance

Thomas Lam

math.CO2006

Signed differential posets and sign-imbalance

Thomas Lam

math.CO2013

$k$-Schur functions and affine Schubert calculus

Thomas Lam, Luc Lapointe, Jennifer Morse +3

math.AG2016

Toric networks, geometric $R$-matrices and generalized discrete Toda lattices

Rei Inoue, Thomas Lam, Pavlo Pylyavskyy

math.CO2010

Stanley symmetric functions and Peterson algebras

Thomas Lam

math.CO2011

Equivariant Pieri Rule for the homology of the affine Grassmannian

Thomas Lam, Mark Shimozono

math.QA2016

Rigged Configurations and Cylindric Loop Schur Functions

Thomas Lam, Pavlo Pylyavskyy, Reiho Sakamoto

math.CO2005

Affine Stanley symmetric functions

Thomas Lam

math.CO2008

Quantized dual graded graphs

Thomas Lam

math.AG2009

Affine Schubert classes, Schur positivity, and combinatorial Hopf algebras

Thomas Lam

math.CO2018

Electroid varieties and a compactification of the space of electrical networks

Thomas Lam

hep-th2014

Grassmannians for scattering amplitudes in 4d $\mathcal{N}=4$ SYM and 3d ABJM

Henriette Elvang, Yu-tin Huang, Cynthia Keeler +4

math.AG2011

Projections of Richardson Varieties

Allen Knutson, Thomas Lam, David E Speyer

math.CO2010

A Pieri rule for skew shapes

Sami Assaf, Peter R. W. McNamara, Thomas Lam

math.CO2004

Two results on domino and ribbon tableaux

Thomas Lam

math.CO2012

Alcoved Polytopes II

Thomas Lam, Alexander Postnikov

math.CO2007

Total positivity for cominuscule Grassmannians

Thomas Lam, Lauren Williams

math.RT2007

On domino insertion and Kazhdan--Lusztig cells in type $B_n$

Cédric Bonnafé, Meinolf Geck, Lacrimioara Iancu +1

math.CO2009

Schubert Polynomials for the affine Grassmannian of the symplectic group

Thomas Lam, Anne Schilling, Mark Shimozono

math.GR2014

Infinite reduced words and the Tits boundary of a Coxeter group

Thomas Lam, Anne Thomas

math.CO2006

Cell transfer and monomial positivity

Thomas Lam, Pavlo Pylyavskyy

math.CO2009

K-theory Schubert calculus of the affine Grassmannian

Thomas Lam, Anne Schilling, Mark Shimozono

math.CO2018

Cyclic Demazure modules and positroid varieties

Thomas Lam

math.CO2014

Dimers, webs, and positroids

Thomas Lam

math.AG2009

Positroid varieties I: juggling and geometry

Allen Knutson, Thomas Lam, David E Speyer

math.CO2007

Dual graded graphs for Kac-Moody algebras

Thomas Lam, Mark Shimozono

math.CO2008

Affine insertion and Pieri rules for the affine Grassmannian

Thomas Lam, Luc Lapointe, Jennifer Morse +1

math.CO2006

Schubert polynomials for the affine Grassmannian

Thomas Lam

math.CO2006

On Sjostrand's skew sign-imbalance identity

Thomas Lam

math.CO2010

From quantum Schubert polynomials to k-Schur functions via the Toda lattice

Thomas Lam, Mark Shimozono

math.CO2009

Total positivity in loop groups I: whirls and curls

Thomas Lam, Pavlo Pylyavskyy

math.RT2012

Linear Laurent phenomenon algebras

Thomas Lam, Pavlo Pylyavskyy

hep-th2015

The Amplituhedron and the One-loop Grassmannian Measure

Yuntao Bai, Song He, Thomas Lam

math.QA2012

Box-Basket-Ball Systems

Thomas Lam, Pavlo Pylyavskyy, Reiho Sakamoto

hep-th2017

Positive Geometries and Canonical Forms

Nima Arkani-Hamed, Yuntao Bai, Thomas Lam

math.RT2016

Electrical networks and Lie theory

Thomas Lam, Pavlo Pylyavskyy

math.CO2011

k-Double Schur functions and equivariant (co)homology of the affine Grassmannian

Thomas Lam, Mark Shimozono

math.CO2007

Combinatorial Hopf algebras and K-homology of Grassmanians

Thomas Lam, Pavlo Pylyavskyy

math.RT2014

Whittaker functions, geometric crystals, and quantum Schubert calculus

Thomas Lam

math.AG2011

Positroid Varieties: Juggling and Geometry

Allen Knutson, Thomas Lam, David Speyer

math.CO2017

From dimers to webs

Chris Fraser, Thomas Lam, Ian Le

math.CO2005

A note on graphs without short even cycles

Thomas Lam, Jacques Verstraete

math.CO2007

Combinatorial Hopf algebras and Towers of Algebras

Nantel Bergeron, Thomas Lam, Huilan Li

math.CO2005

A combinatorial generalization of the Boson-Fermion correspondence

Thomas Lam

math.AG2015

Projected Richardson varieties and affine Schubert varieties

Xuhua He, Thomas Lam

math.CO2006

Temperley-Lieb pfaffinants and Schur $Q$-positivity conjectures

Thomas Lam, Pavlo Pylyavskyy

math.CO2011

From double quantum Schubert polynomials to k-double Schur functions via the Toda lattice

Thomas Lam, Mark Shimozono

math.AG2014

Amplituhedron cells and Stanley symmetric functions

Thomas Lam

math.CO2011

A Markov chain on the symmetric group which is Schubert positive?

Thomas Lam, Lauren Williams

math.CO2011

Inverse problem in cylindrical electrical networks

Thomas Lam, Pavlo Pylyavskyy

math.CO2009

Total positivity in loop groups II: Chevalley generators

Thomas Lam, Pavlo Pylyavskyy

math.CO2011

Combinatorial Hopf algebras and Towers of Algebras - Dimension, Quantization, and Functoriality

Nantel Bergeron, Thomas Lam, Huilan Li

math.QA2003

Ribbon Tableaux and the Heisenberg Algebra

Thomas Lam

math.CO2004

Ribbon Schur Operators

Thomas Lam

math.RT2012

Total positivity, Schubert positivity, and Geometric Satake

Thomas Lam, Konstanze Rietsch

math.CO2010

Crystals and total positivity on orientable surfaces

Thomas Lam, Pavlo Pylyavskyy

math.QA2014

Intrinsic energy is a loop Schur function

Thomas Lam, Pavlo Pylyavskyy

math.QA2017

On the cluster nature and quantization of geometric $R$-matrices

Rei Inoue, Thomas Lam, Pavlo Pylyavskyy

math.CO2014

The uncrossing partial order on matchings is Eulerian

Thomas Lam

math.CO2011

Quantum double Schubert polynomials represent Schubert classes

Thomas Lam, Mark Shimozono

math.CO2010

k-shape poset and branching of k-Schur functions

Thomas Lam, Luc Lapointe, Jennifer Morse +1

math.CO2012

Loop symmetric functions and factorizing matrix polynomials

Thomas Lam

math.CO2015

Totally nonnegative Grassmannian and Grassmann polytopes

Thomas Lam

math.CO2006

P-partition products and fundamental quasi-symmetric function positivity

Thomas Lam, Pavlo Pylyavskyy

math.CO2005

Schur positivity and Schur log-concavity

Thomas Lam, Alexander Postnikov, Pavlo Pylyavskyy

math.RT2016

Laurent phenomenon algebras

Thomas Lam, Pavlo Pylyavskyy

math.CO2009

Skew Littlewood-Richardson rules from Hopf algebras

Thomas Lam, Aaron Lauve, Frank Sottile