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Mathematics

D-Index
61
Citations
18543
World Ranking
507
National Ranking
266

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2009 - Member of the National Academy of Sciences
  • 2003 - Fellow of the American Academy of Arts and Sciences
  • 1999 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1998 - George Pólya Prize

Overview

Percy Deift is affiliated with the Courant Institute of Mathematical Sciences in the United States. Their research focuses on mathematics, particularly in subfields such as statistics and probability, algebra and number theory, discrete mathematics and combinatorics, mathematical physics, and statistical and nonlinear physics.

The scientist's work covers several main topics, including:

  • Random Matrices and Applications
  • Advanced Combinatorial Mathematics
  • Mathematical functions and polynomials
  • Advanced Mathematical Identities
  • Analytic Number Theory Research
  • Advanced Neuroimaging Techniques and Applications
  • Sparse and Compressive Sensing Techniques

Frequently collaborating with others, Percy Deift has worked with Thomas Trogdon, Ivan Corwin, Alexander Its, Carlos Tomei, and Mateusz Piorkowski on multiple occasions.

Their recent publications include:

  • "The conjugate gradient algorithm on well-conditioned Wishart matrices is almost deterministic," 2020, Quarterly of Applied Mathematics
  • "Harold Widom's work in random matrix theory," 2022, Bulletin of the American Mathematical Society
  • "On the open Toda chain with external forcing," 2020, arXiv (Cornell University)
  • "Harold Widom's work in random matrix theory," 2022, arXiv (Cornell University)
  • "Recurrence Coefficients for Orthogonal Polynomials with a Logarithmic Weight Function," 2023, arXiv (Cornell University)

Deift has published books with Cambridge University Press, including a forthcoming work titled "The Toda Lattice and Universality for the Computation of the Eigenvalues of a Random Matrix," scheduled for 2025.

The scientist has been published frequently in several venues, primarily:

  • arXiv (Cornell University)
  • Quarterly of Applied Mathematics
  • Bulletin of the American Mathematical Society
  • Symmetry Integrability and Geometry Methods and Applications
  • Proceedings of the National Academy of Sciences

Among recognized distinctions, Percy Deift has received the George Pólya Prize in 1998, was named a Fellow of the John Simon Guggenheim Memorial Foundation in 1999, awarded Fellowship of the American Academy of Arts and Sciences in 2003, elected Member of the National Academy of Sciences in 2009, and became a Fellow of the American Mathematical Society in 2013.

Best Publications

  • Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach

    Percy Deift

  • A steepest descent method for oscillatory Riemann–Hilbert problems. Asymptotics for the MKdV equation

    Percy Deift;Xin Zhou

  • On the distribution of the length of the longest increasing subsequence of random permutations

    Jinho Baik;Percy Deift;Kurt Johansson

  • Inverse scattering on the line

    Percy Deift;E. Trubowitz

  • UNIFORM ASYMPTOTICS FOR POLYNOMIALS ORTHOGONAL WITH RESPECT TO VARYING EXPONENTIAL WEIGHTS AND APPLICATIONS TO UNIVERSALITY QUESTIONS IN RANDOM MATRIX THEORY

    P. Deift;Thomas Kriecherbauer;K. T.-R. McLaughlin;S. Venakides

  • Strong asymptotics of orthogonal polynomials with respect to exponential weights

    P. Deift;Thomas Kriecherbauer;K. T.-R. McLaughlin;S. Venakides

  • A steepest descent method for oscillatory Riemann-Hilbert problems

    Percy Deift;Xin Zhou;Xin Zhou

  • Direct and inverse scattering on the line

    Richard Beals;Percy Deift;Carlos Tomei;Carlos Tomei

  • Applications of a commutation formula

    P. A. Deift

  • Almost periodic Schrödinger operators: III. The absolutely continuous spectrum in one dimension

    P. Deift;B. Simon

  • A Riemann-Hilbert approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics

    Percy A. Deift;Alexander R. Its;Xin Zhou

  • Long‐time asymptotics for solutions of the NLS equation with initial data in a weighted Sobolev space

    Percy Deift;Xin Zhou

  • New results in small dispersion KdV by an extension of the steepest descent method for Riemann-Hilbert problems

    P. Deift;S. Venakides;X. Zhou

  • Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities

    Percy Deift;Alexander Its;Igor Krasovsky

  • Asymptotics for the painlevé II equation

    Percy Deift;X. Zhou

  • Inverse scattering and the boussinesq equation

    Percy Deift;Carlos Tomei;E. Trubowitz

  • New Results on the Equilibrium Measure for Logarithmic Potentials in the Presence of an External Field

    P Deift;T Kriecherbauer;K.T.-R McLaughlin

  • Ordinary differential equations and the symmetric eigenvalue problem

    Percy Deift;T. Nanda;Carlos Tomei

  • Long-Time Asymptotics for Integrable Nonlinear Wave Equations

    Percy Deift;Alexander Its;X. Zhou

  • Random Matrix Theory: Invariant Ensembles and Universality

    Percy Deift;Dimitri Gioev

  • On the Absolutely Continuous Spectrum of One-Dimensional Schrödinger Operators with Square Summable Potentials

    P. Deift;R. Killip

Frequent Co-Authors

Xin Zhou
Xin Zhou Beihang University
Jinho Baik
Jinho Baik University of Michigan–Ann Arbor
Alexander Its
Alexander Its Indiana University – Purdue University Indianapolis
Barry Simon
Barry Simon California Institute of Technology
Richard Beals
Richard Beals Yale University
James Demmel
James Demmel University of California, Berkeley
Fritz Gesztesy
Fritz Gesztesy Baylor University
Eric M. Rains
Eric M. Rains California Institute of Technology

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