World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
40
Citations
10444
World Ranking
1997
National Ranking
843

P. Di Francesco publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where P. Di Francesco sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 144 publications — 35th percentile

35% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

P. Di Francesco D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where P. Di Francesco sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 40 D-Index — 45th percentile

45% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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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