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Alexei Borodin

Alexei Borodin

D-Index & Metrics

Mathematics

D-Index
66
Citations
12036
World Ranking
369
National Ranking
199

Research.com Recognitions

  • 2018 - Fellow of the American Academy of Arts and Sciences

Overview

Alexei Borodin is affiliated with MIT in the United States and specializes primarily in the field of Mathematics. Their research covers several subfields including Mathematical Physics, Statistics and Probability, Geometry and Topology, Discrete Mathematics and Combinatorics, and Algebra and Number Theory.

Their work frequently appears in publication venues such as arXiv (Cornell University), Communications of the American Mathematical Society, Advances in Mathematics, Astérisque, and Proceedings of the London Mathematical Society.

Frequent coauthors collaborating with Borodin include Michael Wheeler, Amol Aggarwal, Alexey Bufetov, Maurice Duits, and Sergei Korotkikh.

Key topics explored in Borodin's research include Advanced Combinatorial Mathematics, Random Matrices and Applications, Algebraic structures and combinatorial models, Stochastic processes and statistical mechanics, Advanced Algebra and Geometry, Theoretical and Computational Physics, and Advanced Topics in Algebra.

Recent papers published by Alexei Borodin comprise the following:

  • Coloured stochastic vertex models and their spectral theory, 2022, Astérisque
  • Shift-invariance for vertex models and polymers, 2022, Proceedings of the London Mathematical Society
  • Colored fermionic vertex models and symmetric functions, 2023, Communications of the American Mathematical Society
  • Spin q-Whittaker polynomials, 2020, Advances in Mathematics
  • Nonsymmetric Macdonald polynomials via integrable vertex models, 2020, Transactions of the American Mathematical Society

In recognition of their contributions, Alexei Borodin was named a Fellow of the American Academy of Arts and Sciences in 2018.

Best Publications

  • Asymptotics of Plancherel measures for symmetric groups

    Alexei Borodin;Andrei Okounkov;Andrei Okounkov;Grigori Olshanski

  • Macdonald processes

    Unknown

  • Eynard–Mehta Theorem, Schur Process, and their Pfaffian Analogs

    Alexei Borodin;Eric M. Rains

  • Fluctuation Properties of the TASEP with Periodic Initial Configuration

    Alexei Borodin;Patrik L. Ferrari;Michael Prähofer;Tomohiro Sasamoto

  • Anisotropic growth of random surfaces in 2+1 dimensions

    Patrik L. Ferrari;Alexei Borodin

  • Determinantal point processes

    Alexei Borodin

  • A Fredholm determinant formula for Toeplitz determinants

    Alexei Borodin;Andrei Okounkov

  • Anisotropic growth of random surfaces in 2 + 1 dimensions

    Alexei Borodin;Patrik L. Ferrari

  • From duality to determinants for q-TASEP and ASEP

    Alexei Borodin;Ivan Corwin;Tomohiro Sasamoto

  • Biorthogonal ensembles

    Unknown

  • The Ginibre Ensemble of Real Random Matrices and its Scaling Limits

    A. Borodin;C. D. Sinclair

  • Averages of Characteristic Polynomials in Random Matrix Theory

    A. Borodin;E. Strahov

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

    Alexei Borodin;Ivan Corwin;Patrik Ferrari

  • Lectures on integrable probability

    Alexei Borodin;Vadim Gorin

  • Large time asymptotics of growth models on space-like paths I: PushASEP

    Alexei Borodin;Patrik L Ferrari

  • Stochastic six-vertex model

    Alexei Borodin;Ivan Corwin;Vadim Gorin

  • Distributions on Partitions, Point Processes,¶ and the Hypergeometric Kernel

    Alexei Borodin;Grigori Olshanski

  • On a family of symmetric rational functions

    Alexei Borodin

  • Airy Kernel with Two Sets of Parameters in Directed Percolation and Random Matrix Theory

    Alexei Borodin;Sandrine Péché

  • Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes

    Alexei Borodin;Grigori Olshanski

  • Higher spin six vertex model and symmetric rational functions

    Alexei Borodin;Leonid Petrov

  • Height Fluctuations for the Stationary KPZ Equation

    Alexei Borodin;Ivan Corwin;Patrik Ferrari;Bálint Vető

Frequent Co-Authors

Grigori Olshanski
Grigori Olshanski Institute for Information Transmission Problems
Ivan Corwin
Ivan Corwin Columbia University
Patrik L. Ferrari
Patrik L. Ferrari University of Bonn
Tomohiro Sasamoto
Tomohiro Sasamoto Tokyo Institute of Technology
Andrei Okounkov
Andrei Okounkov Columbia University
Percy Deift
Percy Deift Courant Institute of Mathematical Sciences
Eric M. Rains
Eric M. Rains California Institute of Technology
Sylvia Serfaty
Sylvia Serfaty Courant Institute of Mathematical Sciences
Persi Diaconis
Persi Diaconis Stanford University
Mark Adler
Mark Adler Brandeis University

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