Alexei Borodin

Massachusetts Institute of Technology — United States

Mathematics · Physical Sciences

43h-index6.3kcitations210works0.32yr avg
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Research Topics

Random Matrices and Applications(161), Advanced Combinatorial Mathematics(104), Stochastic processes and statistical mechanics(76), Advanced Algebra and Geometry(40), Algebraic structures and combinatorial models(27)

Publications210 total

Geometry of the doubly periodic Aztec dimer model
Communications of the American Mathematical Society·2025Open Access
Crystallization of the Aztec diamond
arXiv (Cornell University)·2024Open Access
Inhomogeneous spin <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>q</mml:mi> </mml:math> -Whittaker polynomials
Annales de la faculté des sciences de Toulouse Mathématiques·2024Open Access
Coloured corner processes from asymptotics of LLT polynomials
Advances in Mathematics·2024· 1 cited
Colored Line Ensembles for Stochastic Vertex Models
arXiv (Cornell University)·2024· 1 citedOpen Access
TASEP with a moving wall
Annales de l Institut Henri Poincaré Probabilités et Statistiques·2024Open Access
Coloured corner processes from asymptotics of LLT polynomials
arXiv (Cornell University)·2023Open Access
Colored fermionic vertex models and symmetric functions
Communications of the American Mathematical Society·2023· 22 citedOpen Access
Geometry of the doubly periodic Aztec dimer model
arXiv (Cornell University)·2023· 1 citedOpen Access
Free fermion six vertex model: symmetric functions and random domino tilings
Selecta Mathematica·2023· 10 cited
Biased $$2 \times 2$$ periodic Aztec diamond and an elliptic curve
Probability Theory and Related Fields·2023· 8 citedOpen Access
Coloured stochastic vertex models and their spectral theory
Astérisque·2022· 54 cited
On a super-analog of the Schur-Weyl Duality
arXiv (Cornell University)·2022Open Access
Biased $2 \times 2$ periodic Aztec diamond and an elliptic curve
arXiv (Cornell University)·2022Open Access
Deformed Polynuclear Growth in (1+1) Dimensions
International Mathematics Research Notices·2022Open Access
Shift‐invariance for vertex models and polymers
Proceedings of the London Mathematical Society·2022· 21 citedOpen Access
Free Fermion Six Vertex Model: Symmetric Functions and Random Domino Tilings
arXiv (Cornell University)·2021· 2 citedOpen Access
Color-position symmetry in interacting particle systems
The Annals of Probability·2021· 12 citedOpen Access
Correction to: Height Fluctuations for the Stationary KPZ Equation
Mathematical Physics Analysis and Geometry·2021Open Access
Inhomogeneous spin $q$-Whittaker polynomials
arXiv (Cornell University)·2021· 1 citedOpen Access
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Frequent Co-authors

Grigori Olshanski(15), Patrik L. Ferrari(6), Vadim Gorin(6), Ivan Corwin(5), Tomohiro Sasamoto(3), Andreĭ Okounkov(2), Eric M. Rains(2), Percy Deift(2), Jeffrey Kuan(2), Michael Prähofer(1), Peter J. Yunker(1), Matthew Lohr(1), Tim Still(1), D. J. Durian(1), Arjun G. Yodh(1), Christopher D. Sinclair(1), Bálint Vető(1), Eugene Strahov(1), Daniel Remenik(1), Jinho Baik(1)