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Mathematics

D-Index
46
Citations
7312
World Ranking
1385
National Ranking
614

Overview

Ivan Corwin is a researcher primarily affiliated with Columbia University in the United States. Their work is concentrated in the field of Mathematics, with a significant focus on the subfields of Statistics and Probability, Mathematical Physics, and Condensed Matter Physics. Additional areas of study include Discrete Mathematics and Combinatorics, as well as Artificial Intelligence.

The main topics addressed in their research encompass stochastic processes and statistical mechanics, random matrices and their applications, theoretical and computational physics, Markov chains and Monte Carlo methods, advanced combinatorial mathematics, Bayesian methods and mixture models, and point processes alongside geometric inequalities.

Corwin has published extensively, with frequent appearances in venues such as arXiv (Cornell University), Electronic Journal of Probability, Communications in Mathematical Physics, Probability Theory and Related Fields, and Open Collections.

Recent scholarly papers authored or co-authored by Ivan Corwin include:

  • Stationary measure for the open KPZ equation, 2023, Communications on Pure and Applied Mathematics
  • Exceptional times when the KPZ fixed point violates Johansson's conjecture on maximizer uniqueness, 2023, Electronic Journal of Probability

Frequent collaborators in Corwin's research include Guillaume Barraquand, Evgeni Dimitrov, Milind Hegde, Jacob B. Hass, and Eric I. Corwin.

These collaborations have resulted in joint publications exploring areas related to the KPZ equation, polymers, and Gibbsian line ensembles, among other topics. Some notable papers connected to such collaborations are:

  • Stationary measures for the log-gamma polymer and KPZ equation in half-space, 2023, The Annals of Probability
  • Fluctuations of the log-gamma polymer free energy with general parameters and slopes, 2020, arXiv (Cornell University)
  • Spatial Tightness at the Edge of Gibbsian Line Ensembles, 2023, Communications in Mathematical Physics

Best Publications

  • THE KARDAR-PARISI-ZHANG EQUATION AND UNIVERSALITY CLASS

    Ivan Zachary Corwin

  • Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions

    Gideon Amir;Ivan Corwin;Jeremy Quastel

  • Macdonald processes

    Unknown

  • From duality to determinants for q-TASEP and ASEP

    Alexei Borodin;Ivan Corwin;Tomohiro Sasamoto

  • Brownian Gibbs property for Airy line ensembles

    Ivan Corwin;Alan Hammond

  • Free Energy Fluctuations for Directed Polymers in Random Media in 1 + 1 Dimension

    Alexei Borodin;Ivan Corwin;Patrik Ferrari

  • Stochastic Higher Spin Vertex Models on the Line

    Ivan Corwin;Ivan Corwin;Ivan Corwin;Leonid Petrov

  • Tropical combinatorics and Whittaker functions

    Ivan Corwin;Neil O’Connell;Timo Seppäläinen;Nikolaos Zygouras

  • Stochastic six-vertex model

    Alexei Borodin;Ivan Corwin;Vadim Gorin

  • Height Fluctuations for the Stationary KPZ Equation

    Alexei Borodin;Ivan Corwin;Patrik Ferrari;Bálint Vető

  • Log-Gamma Polymer Free Energy Fluctuations via a Fredholm Determinant Identity

    Alexei Borodin;Ivan Corwin;Daniel Remenik;Daniel Remenik

  • Random-walk in Beta-distributed random environment

    Guillaume Barraquand;Guillaume Barraquand;Ivan Corwin;Ivan Corwin;Ivan Corwin

  • Current fluctuations for TASEP: A proof of the Pr"{a}hofer--Spohn conjecture

    Gérard Ben Arous;Ivan Corwin

  • KPZ line ensemble

    Ivan Corwin;Ivan Corwin;Ivan Corwin;Alan Hammond

  • Renormalization Fixed Point of the KPZ Universality Class

    Ivan Corwin;Jeremy Quastel;Daniel Remenik

  • Open ASEP in the Weakly Asymmetric Regime

    Ivan Corwin;Hao Shen

  • Stochastic six-vertex model in a half-quadrant and half-line open ASEP

    Guillaume Barraquand;Alexei Borodin;Ivan Corwin;Michael Wheeler

  • Spectral theory for the q-Boson particle system

    Alexei Borodin;Ivan Corwin;Leonid Petrov;Tomohiro Sasamoto

  • Lower tail of the KPZ equation

    Ivan Corwin;Promit Ghosal

  • KPZ equation limit of higher-spin exclusion processes

    Ivan Corwin;Ivan Corwin;Ivan Corwin;Li Cheng Tsai

  • Kardar-Parisi-Zhang Universality

    Ivan Corwin

  • Spectral Theory for Interacting Particle Systems Solvable by Coordinate Bethe Ansatz

    Alexei Borodin;Ivan Corwin;Leonid Petrov;Leonid Petrov;Tomohiro Sasamoto

  • Stochastic six-vertex model in a half-quadrant and half-line open asymmetric simple exclusion process

    Guillaume Barraquand;Alexei Borodin;Ivan Corwin;Michael Wheeler

Frequent Co-Authors

Patrik L. Ferrari
Patrik L. Ferrari University of Bonn
Jeremy Quastel
Jeremy Quastel University of Toronto
Tomohiro Sasamoto
Tomohiro Sasamoto Tokyo Institute of Technology
Jinho Baik
Jinho Baik University of Michigan–Ann Arbor
Timo Seppäläinen
Timo Seppäläinen University of Wisconsin–Madison
Gérard Ben Arous
Gérard Ben Arous Courant Institute of Mathematical Sciences
Giovanni Gallavotti
Giovanni Gallavotti National Institute for Nuclear Physics
Herbert Spohn
Herbert Spohn Technical University of Munich

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