World's Best Scientists 2026 revealed!
Scott Sheffield

Scott Sheffield

D-Index & Metrics

Mathematics

D-Index
47
Citations
8423
World Ranking
1280
National Ranking
571

Research.com Recognitions

  • 2007 - Fellow of Alfred P. Sloan Foundation

Overview

Scott Sheffield is affiliated with MIT in the United States and specializes in mathematics, with a focus on mathematical physics, statistics and probability, nuclear and high energy physics, geometry and topology, and applied mathematics.

Their research covers several main topics, including stochastic processes and statistical mechanics, mathematical dynamics and fractals, random matrices and applications, Markov chains and Monte Carlo methods, black holes and theoretical physics, geometry and complex manifolds, and topological and geometric data analysis.

Frequent coauthors in their work include Jason Miller, Joshua Pfeffer, Ewain Gwynne, Minjae Park, and Sky Cao.

Scott Sheffield has published extensively in various academic venues. The most common publication venues are:

  • arXiv (Cornell University)
  • The Annals of Probability
  • Probability Theory and Related Fields
  • Journal de l'École polytechnique - Mathématiques
  • Acta Mathematica

Selected recent papers authored or coauthored by Scott Sheffield include:

  • Liouville quantum gravity and the Brownian map II: Geodesics and continuity of the embedding (2021, The Annals of Probability)
  • Liouville quantum gravity and the Brownian map III: the conformal structure is determined (2021, Probability Theory and Related Fields)
  • An axiomatic characterization of the Brownian map (2021, Journal de l'École polytechnique - Mathématiques)
  • The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity (2021, The Annals of Probability)
  • Simple conformal loop ensembles on Liouville quantum gravity (2022, The Annals of Probability)

Scott Sheffield was recognized as a Fellow of the Alfred P. Sloan Foundation in 2007.

Best Publications

  • Dimers and amoebae

    Richard Kenyon;Andrei Okounkov;Scott Sheffield

  • Gaussian free fields for mathematicians

    Scott Sheffield

  • Liouville quantum gravity and KPZ

    Bertrand Duplantier;Scott Roger Sheffield

  • Tug-of-war and the infinity Laplacian

    Yuval Peres;Yuval Peres;Oded Schramm;Scott Sheffield;Scott Sheffield;Scott Sheffield;David B. Wilson

  • Contour lines of the two-dimensional discrete Gaussian free field

    Oded Schramm;Scott Sheffield

  • Tug-of-war with noise: A game-theoretic view of the $p$-Laplacian

    Yuval Peres;Scott Sheffield

  • Imaginary geometry I: interacting SLEs

    Jason Peter Miller;Jason Peter Miller;Jason Peter Miller;Scott Sheffield

  • Conformal weldings of random surfaces: SLE and the quantum gravity zipper

    Scott Roger Sheffield

  • Exploration trees and conformal loop ensembles

    Scott Sheffield

  • Conformal loop ensembles: the Markovian characterization and the loop-soup construction

    Scott Sheffield;Wendelin Werner

  • A contour line of the continuum Gaussian free field

    Oded Schramm;Scott Roger Sheffield

  • Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding

    Jason Miller;Scott Sheffield

  • Imaginary geometry IV: interior rays, whole-plane reversibility, and space-filling trees

    Jason Miller;Jason Miller;Jason Miller;Scott Sheffield

  • Liouville quantum gravity as a mating of trees

    Bertrand Duplantier;Jason Miller;Scott Sheffield

  • Critical Gaussian multiplicative chaos: Convergence of the derivative martingale

    Bertrand Duplantier;Rémi Rhodes;Scott Sheffield;Vincent Vargas

  • Liouville quantum gravity and the Brownian map I: The QLE(8/3,0) metric

    Jason Miller;Scott Sheffield

  • Renormalization of Critical Gaussian Multiplicative Chaos and KPZ Relation

    Bertrand Duplantier;Rémi Rhodes;Scott Sheffield;Vincent Vargas

  • Random surfaces

    Scott Sheffield

  • Quantum Loewner evolution

    Jason P. Miller;Scott Roger Sheffield

  • Liouville quantum gravity and the Brownian map III: the conformal structure is determined

    Jason Miller;Scott Sheffield

  • Harmonic explorer and its convergence to SLE4

    Oded Schramm;Scott Sheffield

Frequent Co-Authors

Oded Schramm
Oded Schramm Microsoft (United States)
Wendelin Werner
Wendelin Werner University of Cambridge
David B. Wilson
David B. Wilson Washington University in St. Louis
Richard Kenyon
Richard Kenyon Yale University
Assaf Naor
Assaf Naor Princeton University
Andrei Okounkov
Andrei Okounkov Columbia University
Gregory F. Lawler
Gregory F. Lawler University of Chicago
Amir Dembo
Amir Dembo Stanford University

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