Anne Schilling
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American mathematician
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Anne Schillingmathematics Degrees
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Mathematics
Anne Schilling's Degrees
- PhD Mathematics University of California, Berkeley
- Masters Mathematics University of California, Berkeley
- Bachelors Mathematics University of California, Berkeley
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Why Is Anne Schilling Influential?
(Suggest an Edit or Addition)According to Wikipedia, Anne Schilling is an American mathematician specializing in algebraic combinatorics, representation theory, and mathematical physics. She is a professor of mathematics at the University of California, Davis.
Anne Schilling's Published Works
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Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Inhomogeneous Lattice Paths, Generalized Kostka Polynomials and An−1 Supernomials (1998) (135)
- A bijection between Littlewood-Richardson tableaux and rigged configurations (1999) (134)
- Existence of Kirillov–Reshetikhin crystals for nonexceptional types (2007) (99)
- Rogers–Schur–Ramanujan Type Identities for the M(p,p′) Minimal Models of Conformal Field Theory (1996) (95)
- Kirillov–Reshetikhin crystals for nonexceptional types (2008) (90)
- Crystal Bases: Representations And Combinatorics (2017) (89)
- An A$_2$ Bailey lemma and Rogers--Ramanujan-type identities (1998) (82)
- A Uniform Model for Kirillov–Reshetikhin Crystals I: Lifting the Parabolic Quantum Bruhat Graph (2012) (74)
- Virtual crystals and fermionic formulas of type D (2001) (70)
- Supernomial Coefficients, Polynomial Identities and q-Series (1997) (66)
- K-theory Schubert calculus of the affine Grassmannian (2009) (64)
- Fermionic Formulas for Level-Restricted Generalized Kostka Polynomials and Coset Branching Functions (2000) (62)
- A Uniform Model for Kirillov–Reshetikhin Crystals II. Alcove Model, Path Model, and $P=X$ (2014) (61)
- On the representation theory of finite J-trivial monoids (2010) (59)
- A UNIFORM MODEL FOR KIRILLOV–RESHETIKHIN CRYSTALS III: NONSYMMETRICMACDONALD POLYNOMIALS AT t = 0 AND DEMAZURE CHARACTERS (2015) (58)
- A CRYSTAL TO RIGGED CONFIGURATION BIJECTION FOR NONEXCEPTIONAL AFFINE ALGEBRAS (2002) (57)
- A bijection between type Dn(1) crystals and rigged configurations (2004) (55)
- k-Schur Functions and Affine Schubert Calculus (2013) (55)
- Virtual Crystals and Kleber's Algorithm (2002) (53)
- Perfectness of Kirillov-Reshetikhin crystals for nonexceptional types (2008) (52)
- New fermionic formula for unrestricted Kostka polynomials (2005) (51)
- Crystal structure on rigged configurations (2005) (50)
- X=M for symmetric powers (2004) (48)
- Demazure Crystals, Kirillov-Reshetikhin Crystals, and the Energy Function (2011) (48)
- Demazure structure inside Kirillov-Reshetikhin crystals (2006) (43)
- Combinatorial Markov chains on linear extensions (2012) (40)
- Schubert polynomials for the affine Grassmannian of the symplectic group (2007) (36)
- A Higher Level Bailey Lemma: Proof and Application (1996) (36)
- Multinomials and polynomial bosonic forms for the branching functions of the su(2)M x su(2)N/su(2)M+N conformal coset models (1995) (35)
- Polynomial fermionic forms for the branching functions of the rational coset conformal field theories su(2)M × su(2)N/su(2)M+N (1995) (33)
- A uniform model for Kirillov-Reshetikhin crystals (2013) (33)
- Affine structures and a tableau model for E_6 crystals (2009) (32)
- Crystal energy functions via the charge in types A and C (2011) (31)
- Crystal Structure on Rigged Configurations and the Filling Map (2014) (29)
- Conjugate Bailey pairs. From configuration sums and fractional-level string functions to Bailey's lemma (2002) (28)
- Crystal approach to affine Schubert calculus (2014) (28)
- Bosonic Formula for Level-restricted Paths (1998) (25)
- Branching formula for q-Littlewood-Richardson coefficients (2003) (25)
- Part 4. $X=M$ Theorem: Fermionic Formulas and Rigged Configurations under Review (2005) (25)
- Affine crystal structure on rigged configurations of type $D_{n}^{(1)}$ (2011) (25)
- Quantum Lakshmibai-Seshadri paths and root operators (2013) (24)
- N = 2 supersymmetry and Bailey pairs (1995) (23)
- Finite-dimensional crystals B2,s for quantum affine algebras of type D(1)n (2004) (22)
- Directed Nonabelian Sandpile Models on Trees (2013) (21)
- Markov chains, -trivial monoids and representation theory (2014) (20)
- Conjugate Bailey pairs (1999) (20)
- Combinatorial structure of Kirillov–Reshetikhin crystals of type Dn(1), Bn(1), A2n−1(2) (2007) (20)
- A tensor product theorem related to perfect crystals (2001) (19)
- Crystal Analysis of type C Stanley Symmetric Functions (2017) (18)
- On the uniqueness of promotion operators on tensor products of type A crystals (2008) (18)
- Hecke group algebras as quotients of affine Hecke algebras at level 0 (2008) (18)
- The Murnaghan-Nakayama rule for k-Schur functions (2010) (18)
- Promotion Operator on Rigged Configurations of Type A (2009) (17)
- A higher-level Bailey lemma (1996) (17)
- Unified theory for finite Markov chains (2017) (17)
- Combinatorial Aspect Of Integrable Systems (2007) (16)
- A Demazure crystal construction for Schubert polynomials (2017) (16)
- Braid moves in commutation classes of the symmetric group (2015) (16)
- FERMIONIC FORMULAS AND RIGGED CONFIGURATIONS UNDER REVIEW (2005) (15)
- q-Supernomial coefficients: From riggings to ribbons (2001) (15)
- Symmetric chain decomposition for cyclic quotients of Boolean algebras and relation to cyclic crystals (2011) (15)
- The biHecke monoid of a finite Coxeter group (2009) (15)
- The forgotten monoid (2007) (14)
- Type $D_n^{(1)}$ rigged configuration bijection (2016) (14)
- Crystal bases and q-identities (2001) (13)
- Rigged configuration bijection and proof of the X = M conjecture for nonexceptional affine types (2017) (13)
- Markov Chains for Promotion Operators (2013) (13)
- Polyhedral horofunction compactification as polyhedral ball (2016) (12)
- Characterization of queer supercrystals (2018) (12)
- A combinatorial formula for fusion coefficients (2012) (12)
- A generalization of the q-Saalschutz sum and the Burge transform (1999) (10)
- Toric varieties vs. horofunction compactifications of polyhedral norms (2017) (10)
- Random walks on semaphore codes and delay de Bruijn semigroups (2015) (9)
- An insertion algorithm on multiset partitions with applications to diagram algebras (2019) (9)
- A minimaj-preserving crystal on ordered multiset partitions (2017) (8)
- Rigged Configurations and the Bethe Ansatz (2002) (8)
- Explicit description of the action of root operators on quantum Lakshmibai-Seshadri paths (2013) (7)
- Crystal energy via charge in types A and C (2012) (7)
- A Crystal on Decreasing Factorizations in the 0-Hecke Monoid (2019) (7)
- Horofunction Compactifications of Symmetric Spaces (2017) (7)
- Type $${{\varvec{D}}}_{{\varvec{n}}}^\mathbf{(1)}$$Dn(1) rigged configuration bijection (2017) (7)
- Generalized $q,t$-Catalan numbers (2019) (6)
- Plethysm and the algebra of uniform block permutations (2021) (5)
- A combinatorial formula for fusion coefficient (2012) (5)
- Spectral Gap for Random-to-Random Shuffling on Linear Extensions (2014) (5)
- Normal distributions of finite Markov chains (2019) (4)
- Virtual crystal structure on rigged configurations (2006) (4)
- Non-unitary minimal models, Bailey's Lemma and N=1,2 Superconformal algebras (2004) (4)
- Various representations for the generalized Kostka polynomials (2001) (3)
- Permutations and the Determinant of a Square Matrix (2016) (3)
- Erratum to “Existence of Kirillov-Reshetikhin crystals for nonexceptional types” (2008) (3)
- Uncrowding Algorithm for Hook-Valued Tableaux (2020) (3)
- Hecke group algebras as degenerate affine Hecke algebras (2008) (3)
- Linear maps (2018) (3)
- Explicit description of the degree function in terms of quantum Lakshmibai-Seshadri paths (2015) (3)
- The mystery of plethysm coefficients (2022) (3)
- Introduction to Complex Numbers (2016) (3)
- A uniform model for Kirillov-Reshetikhin crystals. Extended abstract (2012) (3)
- THE FORGOTTEN MONOID (Combinatorial Representation Theory and Related Topics) (2008) (3)
- Crystal operators and flag Gromov-Witten invariants (2014) (3)
- A Problem in Card Shuffling (2015) (2)
- Holonomy theorem for finite semigroups (2020) (2)
- Affine charge and the $k$-bounded Pieri rule (2015) (2)
- The semaphore codes attached to a Turing machine via resets and their various limits (2016) (2)
- NEW EXPLICIT EXPRESSION FOR A (1) SUPERNOMIALS (2005) (2)
- FROM CONFIGURATION SUMS AND FRACTIONAL-LEVEL STRING FUNCTIONS TO (1999) (2)
- Upper Bounds on Mixing Time of Finite Markov Chains (2020) (1)
- Promotion and growth diagrams for fans of Dyck paths and vacillating tableaux (2022) (1)
- Bounds on mixing time of finite Markov chains. (2020) (1)
- Local limit of the fixed point forest (2016) (1)
- Primer on k-Schur Functions (2014) (1)
- The Spectral Theorem for Normal Linear Maps (2016) (1)
- New Expressions for Level-restricted Kostka Polynomials (2000) (0)
- The Fundamental Theorem of Algebra (2007) (0)
- Uncrowding Algorithm for Hook-Valued Tableaux (2022) (0)
- What is Linear Algebra (2016) (0)
- Demazure crystals and the energy function (2011) (0)
- The ★-Involution of B∞ (2017) (0)
- Crystals of Tableaux (2017) (0)
- Combinatorial Markov chains on linear extensions (2013) (0)
- Markov Chains Through Semigroup Graph Expansions (A Survey) (2020) (0)
- The Fundamental Theorem of Algebra and Factoring Polynomials (2016) (0)
- Twenty-five years of representation theory of quantum groups August 7-August 12 , 2011 (2011) (0)
- Change of Bases (2016) (0)
- MAT 067 University of California , Davis Winter 2007 Linear Span and Bases (2007) (0)
- Permutations and the Determinant (2007) (0)
- The Plactic Monoid (2017) (0)
- Richard Stanley through a crystal lens and from a random angle (2014) (0)
- Crystals and Tropical Geometry (2017) (0)
- Combinatorial Characterization of Queer Supercrystals (Survey) (2020) (0)
- Title Unified theory for finite Markov chains Permalink (0)
- A SIMPLE INTRODUCTION TO CRYSTALS $B^{2, s}$ FOR KIRILLOV-RESHETIKHIN MODULES OF TYPE $D^{(1)}_n$ (Combinatorial Aspect of Integrable Systems) (2005) (0)
- Crystal energy via charge (2012) (0)
- Virtual, Fundamental, and Normal Crystals (2017) (0)
- Algebra & Number Theory (2013) (0)
- Linear Algebra As An Introduction To Abstract Mathematics (2015) (0)
- A method for assigning components of an industrial plant to a SAP, methods for setting parameters and / or commissioning of components of an industrial plant, mapping device and parameterization and / or commissioning device (2014) (0)
- Affine crystal structure on rigged configurations of type \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$D_{n}^{(1)}$\ (2012) (0)
- VARIOUS REPRESENTATIONS OF THEGENERALIZED (2007) (0)
- An Area-Depth Symmetric $q, t$-Catalan Polynomial (2021) (0)
- CRM – SSC Prize Recipient (2016) (0)
- Bose-Fermi identities and Bailey flows in statistical mechanics and conformal field theory (1997) (0)
- Schur Expansions Via Crystal Bases (2017) (0)
- Directed Nonabelian Sandpile Models on Trees (2015) (0)
- Online databases: from L-functions to combinatorics (2019) (0)
- The B∞ Crystal (2017) (0)
- Patterns and the Weyl Group Action (2017) (0)
- Affine Schubert Calculus (2014) (0)
- IAP LECTURE JANUARY 28, 2000: THE ROGERS–RAMANUJAN IDENTITIES AT Y2K (2012) (0)
- Bicrystals and the Littlewood–Richardson Rule (2017) (0)
- Queer supercrystals in S age M ath (2019) (0)
- Weak Crystal Operators (2013) (0)
- MAT 067 University of California , Davis Winter 2007 Notes on Matrices and Matrix Operations (2007) (0)
- The Burge correspondence and crystal graphs (2022) (0)
- Span and Bases (2016) (0)
- 70 10 07 v 1 8 J an 1 99 7 Supernomial coefficients , polynomial identities and q-series (2008) (0)
- Towards Krohn-Rhodes complexity (2021) (0)
- Crystals of Tableaux II (2017) (0)
- Title Normal distributions of finite Markov chains Permalink (2019) (0)
- A SIMPLE INTRODUCTION TO CRYSTALS $B^{2,s}$ FOR KIRILLOV-RESHETIKHIN MODULES OF TYPE $D_{n}^{(1)}$ (2007) (0)
- Flag Gromov-Witten invariants via crystals (2014) (0)
- Crystal energy functions via the charge in types A and C (2012) (0)
- CRYSTALS AND RIGGED CONFIGURATIONS” (2013) (0)
- AFFINE CRYSTALS , MACDONALD POLYNOMIALS AND COMBINATORIAL MODELS EXTENDED (2017) (0)
- Crystals for Stanley Symmetric Functions (2017) (0)
- MAT 067 University of California , Davis Winter 2007 Eigenvalues and Eigenvectors (2007) (0)
- Grand unified theory for Tsetlin libraries (2017) (0)
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