Publications (71)
Multinomials and Polynomial Bosonic Forms for the Branching Functions of the $\widehat{su}(2)_{M}\times \widehat{su}(2)_{N}/\widehat{su}(2)_{M+N}$ Conformal Coset Models
Anne Schilling
A Tensor Product Theorem Related To Perfect Crystals
Masato Okado, Anne Schilling, Mark Shimozono
Crystal analysis of type $C$ Stanley symmetric functions
Graham Hawkes, Kirill Paramonov, Anne Schilling
A Higher-level Bailey Lemma
Anne Schilling, S. Ole Warnaar
Type $D_n^{(1)}$ rigged configuration bijection
Masato Okado, Reiho Sakamoto, Anne Schilling +1
Braid moves in commutation classes of the symmetric group
Anne Schilling, Nicolas M. Thiéry, Graham White +1
N=2 Supersymmetry and Bailey Pairs
Alexander Berkovich, Barry M. McCoy, Anne Schilling
Symmetric chain decomposition for cyclic quotients of Boolean algebras and relation to cyclic crystals
Patricia Hersh, Anne Schilling
A uniform model for Kirillov-Reshetikhin crystals III: Nonsymmetric Macdonald polynomials at $t=0$ and Demazure characters
Cristian Lenart, Satoshi Naito, Daisuke Sagaki +2
Random walks on semaphore codes and delay de Bruijn semigroups
John Rhodes, Anne Schilling, Pedro V. Silva
A bijection between type D_n^{(1)} crystals and rigged configurations
Anne Schilling
$k$-Schur functions and affine Schubert calculus
Thomas Lam, Luc Lapointe, Jennifer Morse +3
Directed nonabelian sandpile models on trees
Arvind Ayyer, Anne Schilling, Benjamin Steinberg +1
Polynomial Fermionic Forms for the Branching Functions of the Rational Coset Conformal Field Theories $\widehat{su}(2)_{M}\times \widehat{su}(2)_{N}/\widehat{su}(2)_{M+N}$}
Anne Schilling
X=M Theorem: Fermionic formulas and rigged configurations under review
Anne Schilling
Perfectness of Kirillov-Reshetikhin crystals for nonexceptional types
Ghislain Fourier, Masato Okado, Anne Schilling
On the uniqueness of promotion operators on tensor products of type A crystals
Jason Bandlow, Anne Schilling, Nicolas M. Thiery
The biHecke monoid of a finite Coxeter group and its representations
Florent Hivert, Anne Schilling, Nicolas M. Thiéry
New fermionic formula for unrestricted Kostka polynomials
Lipika Deka, Anne Schilling
Markov chains, $\mathscr R$-trivial monoids and representation theory
Arvind Ayyer, Anne Schilling, Benjamin Steinberg +1
Spectral gap for random-to-random shuffling on linear extensions
Arvind Ayyer, Anne Schilling, Nicolas M. Thiéry
Demazure crystals, Kirillov-Reshetikhin crystals, and the energy function
Anne Schilling, Peter Tingley
A crystal to rigged configuration bijection for nonexceptional affine algebras
Masato Okado, Anne Schilling, Mark Shimozono
Crystal energy functions via the charge in types A and C
Cristian Lenart, Anne Schilling
Multiplicative BRST renormalization of the $SU(2)$ Higgs model
Anne Schilling, Peter van Nieuwenhuizen
A uniform model for Kirillov-Reshetikhin crystals. Extended abstract
Cristian Lenart, Satoshi Naito, Daisuke Sagaki +2
X=M for symmetric powers
Anne Schilling, Mark Shimozono
Promotion operator on rigged configurations of type A
Anne Schilling, Qiang Wang
An A$_2$ Bailey lemma and Rogers--Ramanujan-type identities
George E. Andrews, Anne Schilling, S. Ole Warnaar
q-Supernomial coefficients: From riggings to ribbons
Anne Schilling
Crystal structure on rigged configurations
Anne Schilling
Schubert Polynomials for the affine Grassmannian of the symplectic group
Thomas Lam, Anne Schilling, Mark Shimozono
Fermionic formulas for level-restricted generalized Kostka polynomials and coset branching functions
Anne Schilling, Mark Shimozono
Affine crystal structure on rigged configurations of type D_n^(1)
Masato Okado, Reiho Sakamoto, Anne Schilling
A uniform model for Kirillov-Reshetikhin crystals II. Alcove model, path model, and P=X
Cristian Lenart, Satoshi Naito, Daisuke Sagaki +2
Markov chains for promotion operators
Arvind Ayyer, Steven Klee, Anne Schilling
A Higher-Level Bailey Lemma: Proof and Application
Anne Schilling, S. Ole Warnaar
A bijection between Littlewood-Richardson tableaux and rigged configurations
Anatol N. Kirillov, Anne Schilling, Mark Shimozono
Virtual crystals and Kleber's algorithm
Masato Okado, Anne Schilling, Mark Shimozono
Existence of Kirillov-Reshetikhin crystals for nonexceptional types
Masato Okado, Anne Schilling
Kirillov--Reshetikhin crystals for nonexceptional types
Ghislain Fourier, Masato Okado, Anne Schilling
A combinatorial formula for fusion coefficient
Jennifer Morse, Anne Schilling
The biHecke monoid of a finite Coxeter group
Florent Hivert, Anne Schilling, Nicolas M. Thiéry
The forgotten monoid
Jean-Christophe Novelli, Anne Schilling
Non-unitary minimal models, Bailey's lemma and N=1,2 superconformal algebras
Lipika Deka, Anne Schilling
Crystal approach to affine Schubert calculus
Jennifer Morse, Anne Schilling
Explicit description of the degree function in terms of quantum Lakshmibai-Seshadri paths
Cristian Lenart, Satoshi Naito, Daisuke Sagaki +2
The Murnaghan-Nakayama rule for k-Schur functions
Jason Bandlow, Anne Schilling, Mike Zabrocki
Inhomogeneous lattice paths, generalized Kostka polynomials and A$_{n-1}$ supernomials
Anne Schilling, S. Ole Warnaar
Conjugate Bailey pairs
Anne Schilling, S. Ole Warnaar
Rigged configuration bijection and proof of the $X=M$ conjecture for nonexceptional affine types
Masato Okado, Anne Schilling, Travis Scrimshaw
Bosonic formula for level-restricted paths
Anne Schilling, Mark Shimozono
Combinatorial Markov chains on linear extensions
Arvind Ayyer, Steven Klee, Anne Schilling
A Demazure crystal construction for Schubert polynomials
Sami Assaf, Anne Schilling
Hecke group algebras as quotients of affine Hecke algebras at level 0
Florent Hivert, Anne Schilling, Nicolas M. Thiéry
A uniform model for Kirillov-Reshetikhin crystals I: Lifting the parabolic quantum Bruhat graph
Cristian Lenart, Satoshi Naito, Daisuke Sagaki +2
Rogers-Schur-Ramanujan type identities for the $M(p,p')$ minimal models of conformal field theory
Alexander Berkovich, Barry M. McCoy, Anne Schilling
Richard Stanley through a crystal lens and from a random angle
Anne Schilling
Crystal bases and q-identities
Masato Okado, Anne Schilling, Mark Shimozono
Affine structures and a tableau model for E_6 crystals
Brant Jones, Anne Schilling
Demazure structure inside Kirillov-Reshetikhin crystals
Ghislain Fourier, Anne Schilling, Mark Shimozono
Finite-Dimensional Crystals B^{2,s} for Quantum Affine Algebras of type D_{n}^{(1)}
Anne Schilling, Philip Sternberg
The semaphore codes attached to a Turing machine via resets and their various limits
John Rhodes, Anne Schilling, Pedro V. Silva
Quantum Lakshmibai-Seshadri paths and root operators
Cristian Lenart, Satoshi Naito, Daisuke Sagaki +2
Supernomial coefficients, polynomial identities and $q$-series
Anne Schilling, S. Ole Warnaar
Local limit of the fixed point forest
Tobias Johnson, Anne Schilling, Erik Slivken
A minimaj-preserving crystal on ordered multiset partitions
Georgia Benkart, Laura Colmenarejo, Pamela E. Harris +4
Combinatorial structure of Kirillov-Reshetikhin crystals of type D_n(1), B_n(1), A_{2n-1}(2)
Anne Schilling
Rigged configurations and the Bethe Ansatz
Anne Schilling
On the representation theory of finite J-trivial monoids
Tom Denton, Florent Hivert, Anne Schilling +1
Virtual crystals and fermionic formulas of type $D_{n+1}^{(2)}$, $A_{2n}^{(2)}$, and $C_n^{(1)}$
Masato Okado, Anne Schilling, Mark Shimozono