Paul ZINN-JUSTIN

Equilibrium problems for Raney densities

Publisher: IOP Publishing

Date: 04-06-2015

DOI: 10.1088/0951-7715/28/7/2265

Higher spin polynomial solutions of quantum Knizhnik--Zamolodchikov equation

Publisher: Springer Science and Business Media LLC

Date: 16-03-2014

DOI: 10.1007/S00220-014-1963-7

Quantum Knizhnik--Zamolodchikov equation, generalized Razumov--Stroganov sum rules and extended Joseph polynomials

Publisher: IOP Publishing

Date: 16-11-2005

DOI: 10.1088/0305-4470/38/48/L02

Theta function solutions of the quantum Knizhnik--Zamolodchikov--Bernard equation for a face model

Publisher: IOP Publishing

Date: 05-01-2016

DOI: 10.1088/1751-8113/49/6/064001

On the weighted enumeration of alternating sign matrices and descending plane partitions

Publisher: Elsevier BV

Date: 02-2012

DOI: 10.1016/J.JCTA.2011.09.004

A doubly-refined enumeration of alternating sign matrices and descending plane partitions

Publisher: Elsevier BV

Date: 02-2013

DOI: 10.1016/J.JCTA.2012.09.004

Jucys--Murphy elements and Weingarten matrices

Publisher: Springer Science and Business Media LLC

Date: 26-11-2010

DOI: 10.1007/S11005-009-0365-9

Higher spin $${{\mathfrak {s}}}{{\mathfrak {l}}}_2$$R-matrix from equivariant (co)homology

Publisher: Springer Science and Business Media LLC

Date: 29-06-2020

DOI: 10.1007/S11005-020-01302-Z

Type $\hat\mathrm C$ Brauer loop schemes and loop model with boundaries

Publisher: European Mathematical Society - EMS - Publishing House GmbH

Date: 2016

DOI: 10.4171/AIHPD/28

Loop Models, Random Matrices and Planar Algebras

Publisher: Springer Science and Business Media LLC

Date: 13-10-2012

DOI: 10.1007/S00220-012-1573-1

The trigonometric $$E_8$$ R-matrix

Publisher: Springer Science and Business Media LLC

Date: 23-10-2020

DOI: 10.1007/S11005-020-01330-9

Refined Cauchy/Littlewood identities and six-vertex model partition functions: III. Deformed bosons

Publisher: Elsevier BV

Date: 08-2016

DOI: 10.1016/J.AIM.2016.05.010

1324-avoiding permutations revisited

Publisher: Elsevier BV

Date: 05-2018

DOI: 10.1016/J.AAM.2018.01.002

Extended Joseph polynomials, quantized conformal blocks, and a $q$-Selberg type integral

Publisher: Elsevier BV

Date: 11-2012

DOI: 10.1016/J.GEOMPHYS.2012.06.008

Thermodynamic limit of the six-vertex model with domain wall boundary conditions

Publisher: IOP Publishing

Date: 29-09-2000

DOI: 10.1088/0305-4470/33/40/304

Polynomial solutions ofqKZ equation and ground state of XXZ spin chain at Δ = −1/2

Publisher: IOP Publishing

Date: 11-09-2007

DOI: 10.1088/1751-8113/40/39/009

Littlewood–Richardson coefficients for Grothendieck polynomials from integrability

Publisher: Walter de Gruyter GmbH

Date: 21-09-2017

DOI: 10.1515/CRELLE-2017-0033

Abstract: We study the Littlewood–Richardson coefficients of double Grothendieck polynomials indexed by Grassmannian permutations. Geometrically, these are the structure constants of the equivariant K -theory ring of Grassmannians. Representing the double Grothendieck polynomials as partition functions of an integrable vertex model, we use its Yang–Baxter equation to derive a series of product rules for the former polynomials and their duals. The Littlewood–Richardson coefficients that arise can all be expressed in terms of puzzles without gashes, which generalize previous puzzles obtained by Knutson–Tao and Vakil.

Refined Cauchy/Littlewood identities and six-vertex model partition functions: II. Proofs and new conjectures

Publisher: Springer Science and Business Media LLC

Date: 09-04-2015

DOI: 10.1007/S10801-015-0592-3

The Brauer loop scheme and orbital varieties

Publisher: Elsevier BV

Date: 04-2014

DOI: 10.1016/J.GEOMPHYS.2014.01.006

Quantum Knizhnik--Zamolodchikov equation: reflecting boundary conditions and combinatorics

Publisher: IOP Publishing

Date: 20-12-2007

DOI: 10.1088/1742-5468/2007/12/P12009

Quiver varieties and the quantum Knizhnik--Zamolodchikov equation

Publisher: Springer Science and Business Media LLC

Date: 12-2015

DOI: 10.1007/S11232-015-0376-X

Discrete holomorphicity and quantized affine algebras

Publisher: IOP Publishing

Date: 12-06-2013

DOI: 10.1088/1751-8113/46/26/265205

Combinatorial point for fused loop models

Publisher: Springer Science and Business Media LLC

Date: 23-03-2007

DOI: 10.1007/S00220-007-0225-3

Punctured plane partitions and the q-deformed Knizhnik–Zamolodchikov and Hirota equations

Publisher: Elsevier BV

Date: 05-2009

DOI: 10.1016/J.JCTA.2008.11.008

Algebraic Bethe Ansatz for the FPL$^2$ model

Publisher: IOP Publishing

Date: 08-07-2004

DOI: 10.1088/0305-4470/37/29/004

Path representation of maximal parabolic Kazhdan--Lusztig polynomials

Publisher: Elsevier BV

Date: 11-2012

DOI: 10.1016/J.JPAA.2012.03.027

Spectral Analysis of the Free Orthogonal Matrix

Publisher: Oxford University Press (OUP)

Date: 27-04-2009

DOI: 10.1093/IMRN/RNP054

University Of Melbourne

Location: Australia

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Ecole Normale Superieure

Location: France

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Discovery Projects - Grant ID: DP140102201

Start Date: 01-2014

End Date: 06-2017

Amount: $340,000.00

Funder: Australian Research Council

ARC Future Fellowships - Grant ID: FT150100232

Start Date: 09-2016

End Date: 06-2022

Amount: $764,960.00

Funder: Australian Research Council

Discovery Projects - Grant ID: DP190102897

Start Date: 06-2019

End Date: 12-2023

Amount: $300,000.00

Funder: Australian Research Council

Discovery Projects - Grant ID: DP210103081

Start Date: 06-2021

End Date: 06-2024

Amount: $400,000.00

Funder: Australian Research Council