World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
31
Citations
6974
World Ranking
3275
National Ranking
1294

Research.com Recognitions

  • 2016 - Fellow of the American Mathematical Society For contributions to combinatorics and probability, and for mentoring and exposition.

Overview

James Propp is affiliated with the University of Massachusetts Lowell in the United States. Their research spans multiple fields, primarily within mathematics and computer science, with a focus on combinatorial mathematics and computational theory.

Their scholarly output includes publications in notable venues such as arXiv (Cornell University), Math Horizons, The Electronic Journal of Combinatorics, Combinatorial Theory, and Algebraic Combinatorics.

Recent papers authored or co-authored by James Propp include:

  • "Combinatorial, piecewise-linear, and birational homomesy for products of two chains," 2021, Algebraic Combinatorics
  • "Conway's Mathematics After Conway," 2022, Notices of the American Mathematical Society
  • "A Pentagonal Number Theorem for Tribone Tilings," 2023, The Electronic Journal of Combinatorics
  • "Homomesy via toggleability statistics," 2023, Combinatorial Theory
  • "The Square Root of Pi," 2021, Math Horizons

Propp frequently collaborates with other researchers in the field. Frequent co-authors include Colin Defant, Rupert Li, David M. Einstein, Benjamin Young, and Sam Hopkins.

The scientist's work broadly covers the following main fields of study:

  • Mathematics
  • Computer Science

Subfields of their research encompass:

  • Computational Theory and Mathematics
  • Materials Chemistry
  • Discrete Mathematics and Combinatorics
  • Geometry and Topology
  • Mathematical Physics

Key topics addressed in their research include:

  • Quasicrystal Structures and Properties
  • Advanced Combinatorial Mathematics
  • Mathematical Dynamics and Fractals
  • Semigroups and Automata Theory
  • Cellular Automata and Applications
  • Algebraic Structures and Combinatorial Models
  • History and Theory of Mathematics

In recognition of their contributions, James Propp was named a Fellow of the American Mathematical Society in 2016, an honor given for contributions to combinatorics and probability, and for mentoring and exposition.

Best Publications

  • Exact sampling with coupled Markov chains and applications to statistical mechanics

    James Gary Propp;David Bruce Wilson

  • Alternating-Sign Matrices and Domino Tilings (Part I)

    Noam Elkies;Greg Kuperberg;Michael Larsen;James Propp

  • Alternating sign matrices and domino tilings

    Noam Elkies;Greg Kuperberg;Michael Larsen;James Propp

  • Local statistics for random domino tilings of the Aztec diamond

    Henry Cohn;Noam Elkies;James Propp

  • A variational principle for domino tilings

    Henry Cohn;Henry Cohn;Richard Kenyon;James Propp

  • The Shape of a Typical Boxed Plane Partition

    Henry Cohn;Michael Larsen;James Propp

  • Random Domino Tilings and the Arctic Circle Theorem

    William Jockusch;James Propp;Peter Shor

  • How to Get a Perfectly Random Sample from a Generic Markov Chain and Generate a Random Spanning Tree of a Directed Graph

    James Gary Propp;David Bruce Wilson

  • Alternating-Sign Matrices and Domino Tilings (Part II)

    Noam Elkies;Greg Kuperberg;Michael Larsen;James Propp

  • Chip-Firing and Rotor-Routing on Directed Graphs

    Alexander E. Holroyd;Lionel Levine;Karola Meszaros;Yuval Peres

  • Trees and matchings.

    Richard W. Kenyon;James Gary Propp;David Bruce Wilson

  • Exact sampling with coupled Markov chains and applications to statistical mechanics

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  • The Many Faces of Alternating-Sign Matrices

    James Gary Propp

  • Enumeration of Matchings: problems and Progress

    James Propp

  • Coupling from the past: A user's guide.

    James Propp;David Wilson

  • The combinatorics of frieze patterns and Markoff numbers

    James Propp

  • Lattice structure for orientations of graphs

    James Propp

  • The fractional chromatic number of Mycielski's graphs

    Michael Larsen;James Propp;Daniel Ullman

  • Chip-Firing and Rotor-Routing on Directed Graphs

    Alexander E. Holroyd;Lionel Levine;Karola Mészáros;Yuyal Peres

  • Rotor Walks and Markov Chains

    Alexander E. Holroyd;James Propp

  • The combinatorics of frieze patterns and Markoff numbers

    James Propp

  • Generalized domino-shuffling

    James Propp

  • Homomesy in Products of Two Chains

    James Propp;Tom Roby

Frequent Co-Authors

Henry Cohn
Henry Cohn Microsoft (United States)
David B. Wilson
David B. Wilson Washington University in St. Louis
Richard Kenyon
Richard Kenyon Yale University
Robin Pemantle
Robin Pemantle University of Pennsylvania
Greg Kuperberg
Greg Kuperberg University of California, Davis
Mireille Bousquet-Mélou
Mireille Bousquet-Mélou University of Bordeaux
Alexander Russell
Alexander Russell University of Connecticut
David Aldous
David Aldous University of California, Berkeley

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