Alexei Borodin

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Alexei Borodin ( Russian Алексей Бородин ; born June 25, 1975 in Donetsk , Soviet Union ) is a Russian mathematician.

Borodin graduated from Lomonosov University in 1997 and received his PhD in 2001 from the University of Pennsylvania with Alexander Alexandrowitsch Kirillow ( Harmonic Analysis on the Infinite Symmetric Group ). He has been a professor at Caltech since 2003 . In 2010 he became a professor at the Massachusetts Institute of Technology .

Borodin deals, among other things, with asymptotic problems of representation theory for large groups and relationships with the theory of random matrices . With Grigori Olshanski he found that the characters of irreducible representations of large groups are related to stationary stochastic processes. He also applied the results obtained in this way to combinatorics and proved the Baik, Percy Deift and Johannson theorem on the asymptotic distribution of the longest ascending partial sequences in random permutations . He also deals with interacting particle systems in stochastics.

In 2008 he received the EMS Prize . From 2001 to 2005 he was a Clay Research Fellow. In 2003 he received the Moscow Mathematical Society Prize . He was selected as plenary speaker at the International Congress of Mathematicians 2014 in Seoul (integrable probability). For 2015 he was awarded the Henri Poincaré Prize and the Loève Prize . Borodin was elected to the American Academy of Arts and Sciences in 2018 and received the Fermat Prize in 2019 .

Fonts (selection)

  • with Okounkov, Olshanski: Asymptotics of Plancherel measures for symmetric groups. J. Amer. Math. Soc. 13 (2000), no. 3, 481-515
  • with Okounkov: A Fredholm determinant formula for Toeplitz determinants. Integral Equations Operator Theory 37 (2000), no. 4, 386-396.
  • with Olshanski: Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes. Ann. of Math. (2) 161 (2005), no. 3, 1319-1422.
  • with Rains: Eynard-Mehta theorem, Schur process, and their Pfaffian analogs. J. Stat. Phys. 121 (2005), no. 3-4, 291-317.
  • with Ferrari: Large time asymptotics of growth models on space-like paths. I. PushASEP. Electron. J. Probab. 13 (2008), no.50, 1380-1418.
  • with Ferrari: Anisotropic growth of random surfaces in 2 + 1 dimensions. Comm. Math. Phys. 325 (2014), no. 2, 603-684.

source

  • A. Ran, Herman te Riele , Jan Wiegerinck (editors): European Congress of Mathematics, Amsterdam 2008, European Mathematical Society 2010

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