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Mathematics

D-Index
33
Citations
3248
World Ranking
3080
National Ranking
71

Overview

Paul Zinn-Justin is affiliated with the University of Melbourne in Australia and focuses primarily on research within the field of Mathematics. Their scholarly activity spans multiple subfields, including Discrete Mathematics and Combinatorics, Geometry and Topology, Algebra and Number Theory, Computational Theory and Mathematics, and Mathematical Physics.

The main research topics covered by Paul Zinn-Justin's work include:

  • Advanced Combinatorial Mathematics
  • Algebraic structures and combinatorial models
  • Advanced Algebra and Geometry
  • Advanced Mathematical Identities
  • Random Matrices and Applications
  • Advanced Topics in Algebra
  • Topological and Geometric Data Analysis

Their publications have appeared in several venues, with a concentration on:

  • arXiv (Cornell University)
  • Algebraic Combinatorics
  • Journal of Combinatorial Theory Series A
  • Contemporary Mathematics - American Mathematical Society
  • The Electronic Journal of Combinatorics

Recent papers authored or co-authored by Paul Zinn-Justin illustrate a range of topics within their areas of expertise. Examples include the 2023 publication "Vertex models for Canonical Grothendieck polynomials and their duals" in Algebraic Combinatorics; the 2022 work "Shuffle algebras, lattice paths and the commuting scheme" featured in Contemporary Mathematics - American Mathematical Society; and two papers in 2023 and 2021 titled "Schubert puzzles and integrability III: separated descents" and "Schubert puzzles and integrability II: multiplying motivic Segre classes," both available via arXiv (Cornell University). Another 2023 paper, "The six-vertex model on random planar maps revisited," appeared in the Journal of Combinatorial Theory Series A.

Frequent collaborators in Paul Zinn-Justin's research include:

  • Ajeeth Gunna
  • Allen Knutson
  • Alexandr Garbali
  • Andrew Elvey Price

This body of work reflects a consistent engagement with advanced combinatorial and algebraic structures, as well as connections to mathematical physics and topology, throughout their academic career.

Best Publications

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

    V Korepin;P Zinn-Justin

  • Around the Razumov-Stroganov conjecture: proof of a multi-parameter sum rule

    P. Di Francesco;Paul Zinn-Justin

  • Six-vertex model with domain wall boundary conditions and one-matrix model

    P. Zinn-Justin

  • Universality of Correlation Functions of Hermitian Random Matrices in an External Field

    P. Zinn-Justin

  • On some integrals over the U(N) unitary group and their large N limit

    Paul Zinn-Justin;Jean-Bernard Zuber

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

    P. Di Francesco;P. Zinn-Justin

  • The quantum Knizhnik–Zamolodchikov equation, generalized Razumov–Stroganov sum rules and extended Joseph polynomials

    P. Di Francesco;Paul Zinn-Justin

  • Random Hermitian matrices in an external field

    P. Zinn-Justin

  • Six-vertex, Loop and Tiling Models: Integrability and Combinatorics

    Paul Zinn-Justin

  • Polynomial solutions of qKZ equation and ground state of XXZ spin chain at Delta = -1/2

    A. V. Razumov;Yu. G. Stroganov;P. Zinn-Justin

  • Two-matrix model with ABAB interaction

    Vladimir A. Kazakov;Paul Zinn-Justin

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

    Michael Wheeler;Paul Zinn-Justin

  • The arctic curve of the domain-wall six-vertex model in its anti-ferroelectric regime

    F. Colomo;A. G. Pronko;P. Zinn-Justin

  • The arctic curve of the domain wall six-vertex model in its antiferroelectric regime

    F. Colomo;A. G. Pronko;Paul Zinn-Justin

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

    Roger E. Behrend;Philippe Di Francesco;Paul Zinn-Justin

  • On the Doubly Refined Enumeration of Alternating Sign Matrices and Totally Symmetric Self - Complementary Plane Partitions

    Tiago Fonseca;Paul Zinn-Justin

  • Sum rules for the ground states of the O(1) loop model on a cylinder and the XXZ spin chain

    P. Di Francesco;P. Zinn-Justin;J. B. Zuber

  • Jucys-Murphy Elements and Weingarten Matrices

    Paul Zinn-Justin

  • The Dilute Potts Model on Random Surfaces

    P. Zinn-Justin

  • Path representation of maximal parabolic Kazhdan–Lusztig polynomials

    Keiichi Shigechi;Paul Zinn-Justin

  • Quantum Knizhnik?Zamolodchikov equation: reflecting boundary conditions and combinatorics

    P Di Francesco;P Zinn-Justin

Frequent Co-Authors

P. Di Francesco
P. Di Francesco University of Illinois at Urbana-Champaign
Jean-Bernard Zuber
Jean-Bernard Zuber Sorbonne University
Jesper Lykke Jacobsen
Jesper Lykke Jacobsen École Normale Supérieure
Vladimir E. Korepin
Vladimir E. Korepin Stony Brook University
Mireille Bousquet-Mélou
Mireille Bousquet-Mélou University of Bordeaux
Alice Guionnet
Alice Guionnet École Normale Supérieure de Lyon
Peter J. Forrester
Peter J. Forrester University of Melbourne
Benoît Collins
Benoît Collins Kyoto University
Teodor Banica
Teodor Banica CY Cergy Paris University
Vladimir Kazakov
Vladimir Kazakov École Normale Supérieure

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