Paul Zinn-Justin

The six-vertex model on random planar maps revisited

A Elvey Price, P Zinn-Justin

Journal article  |  2023  |  Journal of Combinatorial Theory. Series A

We address the six vertex model on a random lattice, which in combinatorial terms corresponds to the enumeration of weighted 4-val..

Shuffle algebras, lattice paths and the commuting scheme

A Garbali, P Zinn-Justin

Book Chapter  |  2022  |  Contemporary Mathematics

The commutative trigonometric shuffle algebra A is a space of symmetric rational functions satisfying certain wheel conditions. We..

The trigonometric E-8 R-matrix

Paul Zinn-Justin

Journal article  |  2020  |  LETTERS IN MATHEMATICAL PHYSICS

An expression for the R-matrix associated with Uq(e8ˆ) in its 249-dimensional representation is given using the diagrammatic calcu..

Higher spin sl(2) R-matrix from equivariant (co)homology

Dmitri Bykov, Paul Zinn-Justin

Journal article  |  2020  |  LETTERS IN MATHEMATICAL PHYSICS

We compute the rational sl2R-matrix acting in the product of two spin-ℓ2 (ℓ∈ N) representations, using a method analogous to the o..

Honeycombs for Hall polynomials

Paul Zinn-Justin

Journal article  |  2020  |  ELECTRONIC JOURNAL OF COMBINATORICS

We propose a new formulation of Hall polynomials in terms of honeycombs, which were previously introduced in the context of the Li..

Littlewood-Richardson coefficients for Grothendieck polynomials from integrability

Michael Wheeler, Paul Zinn-Justin

Journal article  |  2019  |  JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK

We study the Littlewood-Richardson coefficients of double Grothendieck polynomials indexed by Grassmannian permutations. Geometric..

Restricting Schubert classes to symplectic Grassmannians using self-dual puzzles

I Halacheva, A Knutson, P Zinn-Justin

Conference Proceedings  |  2019  |  FPSAC 2019 - 31st International Conference on Formal Power Series and Algebraic Combinatorics

GRASSMANN-GRASSMANN CONORMAL VARIETIES, INTEGRABILITY, AND PLANE PARTITIONS

Allen Knutson, Paul Zinn-Justin

Journal article  |  2019  |  ANNALES DE L INSTITUT FOURIER

We give a conjectural formula for sheaves supported on (irreducible) conormal varieties inside the cotangent bundle of the Grassma..

Eulerian orientations and the six-vertex model on planar maps

M Bousquet-Mélou, AE Price, P Zinn-Justin

Conference Proceedings  |  2019  |  FPSAC 2019 - 31st International Conference on Formal Power Series and Algebraic Combinatorics

Hall polynomials, inverse Kostka polynomials and puzzles

M Wheeler, P Zinn-Justin

Journal article  |  2018  |  JOURNAL OF COMBINATORIAL THEORY SERIES A

We study two different one-parameter generalizations of Littlewood–Richardson coefficients, namely Hall polynomials and generalize..