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Mathematics

D-Index
40
Citations
10444
World Ranking
1997
National Ranking
842

Overview

P. Di Francesco is affiliated with the University of Illinois at Urbana-Champaign in the United States and specializes primarily in the field of Mathematics. Their research covers multiple subfields including Mathematical Physics, Geometry and Topology, Statistical and Nonlinear Physics, Geology, and Statistics and Probability.

Their scholarly output focuses on a range of main topics, which include:

  • Algebraic structures and combinatorial models
  • Advanced Algebra and Geometry
  • Nonlinear Waves and Solitons
  • Geological Studies and Exploration
  • Advanced Topics in Algebra
  • Stochastic processes and statistical mechanics
  • Advanced Combinatorial Mathematics

P. Di Francesco has published numerous papers in various academic venues. Notable recent papers include:

  • "Conformal field theory" (2024) published in Physics Subject Headings (PhySH)
  • "Twenty Vertex Model and Domino Tilings of the Aztec Triangle" (2021) published in The Electronic Journal of Combinatorics
  • "Hypoalbuminemia and Risk of Portal Vein Thrombosis in Cirrhosis" (2024) published in Gastro Hep Advances
  • "Arctic curves of the 20V model on a triangle" (2023) published in Journal of Physics A Mathematical and Theoretical
  • "Exponents for Hamiltonian paths on random bicubic maps and KPZ" (2023) published in Nuclear Physics B

The majority of their research has appeared in publication venues such as arXiv (Cornell University), UNC Libraries, Journal of Physics A Mathematical and Theoretical, Gastro Hep Advances, and The Electronic Journal of Combinatorics.

Throughout their career, P. Di Francesco has frequently collaborated with several co-authors. Common collaborators include:

  • Rinat Kedem
  • Bertrand Duplantier
  • O. Golinelli
  • Emmanuel Guitter
  • Gus Schrader

Best Publications

  • Conformal Field Theory

    Unknown

  • 2D gravity and random matrices

    P. Di Francesco;Paul H. Ginsparg;Jean Zinn-Justin

  • SU($N$) Lattice Integrable Models Associated With Graphs

    P. Di Francesco;J.-B. Zuber

  • Planar Maps as Labeled Mobiles

    J. Bouttier;P. Di Francesco;E. Guitter

  • Relations between the Coulomb gas picture and conformal invariance of two-dimensional critical models

    P. di Francesco;H. Saleur;J. B. Zuber

  • World-sheet and space-time physics in two-dimensional (super)string theory

    P. Di Francesco;D. Kutasov

  • Critical Ising correlation functions in the plane and on the torus

    P. Di Francesco;H. Saleur;J.B. Zuber

  • Geodesic distance in planar graphs

    J. Bouttier;P. Di Francesco;E. Guitter

  • Correlation functions in 2D string theory

    P. Di Francesco;D. Kutasov

  • LAUGHLIN'S WAVE FUNCTIONS, COULOMB GASES AND EXPANSIONS OF THE DISCRIMINANT

    P. Di Francesco;M. Gaudin;C. Itzykson;F. Lesage

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

    P. Di Francesco;Paul Zinn-Justin

  • Modular invariance in non-minimal two-dimensional conformal theories

    P. Di Francesco;H. Saleur;J.B. Zuber

  • Classical $W$-algebras

    P. Di Francesco;P. Di Francesco;C. Itzykson;J.-B. Zuber

  • Generalized Coulomb Gas Formalism for Two-dimensional Critical Models Based on SU(2) Coset Construction

    P. Di Francesco;H. Saleur;J.-B. Zuber

  • Quantum intersection rings

    P. Di Francesco;C. Itzykson

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

    P. Di Francesco;P. Zinn-Justin

  • Unitary minimal models coupled to 2D quantum gravity

    P. Di Francesco;D. Kutasov

  • MEANDERS AND THE TEMPERLEY-LIEB ALGEBRA

    P. Di Francesco;O. Golinelli;E. Guitter

  • Census of planar maps: From the one-matrix model solution to a combinatorial proof

    J. Bouttier;P. Di Francesco;E. Guitter

  • Covariant differential equations and singular vectors in virasoro representations

    Unknown

  • Polynomial averages in the Kontsevich model

    P. Di Francesco;C. Itzykson;J.-B. Zuber

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

    P. Di Francesco;Paul Zinn-Justin

Frequent Co-Authors

Paul Zinn-Justin
Paul Zinn-Justin University of Melbourne
Hubert Saleur
Hubert Saleur CEA Saclay
David Kutasov
David Kutasov University of Chicago
Jean-Bernard Zuber
Jean-Bernard Zuber Sorbonne University
Bertrand Eynard
Bertrand Eynard University of Paris-Saclay
Jesper Lykke Jacobsen
Jesper Lykke Jacobsen École Normale Supérieure
Nicolai Reshetikhin
Nicolai Reshetikhin Tsinghua University

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