Alex Eskin | |
---|---|

Born | Moscow, USSR | May 19, 1965

Alma mater | UCLA Princeton University |

Scientific career | |

Fields | Mathematics |

Institutions | University of Chicago |

Thesis | Counting Lattice Points on Homogeneous Spaces (1993) |

Doctoral advisor | Peter Sarnak |

Doctoral students | Moon Duchin Simion Filip |

**Alex Eskin** (Russian: Александр Григорьевич Эскин, born May 19, 1965, Moscow, USSR^{[1]}) is an American mathematician. He is the Arthur Holly Compton Distinguished Service Professor in the Department of Mathematics at the University of Chicago.^{[2]} His research focuses on rational billiards and geometric group theory.

Eskin was born in Moscow on May 19, 1965.^{[1]}^{[2]}^{[3]} He is the son of a Russian-Jewish mathematician Gregory I. Eskin (b. 1936, Kiev), a professor at the University of California, Los Angeles. The family emigrated to Israel in 1974 and in 1982 to the United States.^{[citation needed]}

Eskin earned his doctorate from Princeton University in 1993, under the supervision of Peter Sarnak.^{[4]}

Eskin has been a professor at the University of Chicago since 1999.^{[5]}

Eskin gave invited talks at the International Congress of Mathematicians in Berlin in 1998,^{[6]} and in Hyderabad in 2010.^{[7]}

For his contribution to joint work with David Fisher and Kevin Whyte establishing the quasi-isometric rigidity of solvable groups, Eskin was awarded the 2007 Clay Research Award.^{[8]} In 2012, he became a fellow of the American Mathematical Society.^{[9]} In April 2015, Eskin was elected a member of the United States National Academy of Sciences.^{[5]}^{[10]} Eskin won the 2020 Breakthrough Prize^{[11]}^{[12]} in mathematics for his classification of -invariant and stationary measures for the moduli of translation surfaces,^{[13]} in joint work with Maryam Mirzakhani.

- Alex Eskin; Curt McMullen (1993). "Mixing, counting, and equidistribution in Lie groups".
*Duke Mathematical Journal*.**71**(1): 181–209. CiteSeerX 10.1.1.39.8202. doi:10.1215/S0012-7094-93-07108-6. S2CID 611397. - Alex Eskin; David Fisher; Kevin Whyte (2012). "Coarse differentiation of quasi-isometries I: Spaces not quasi-isometric to Cayley graphs" (PDF).
*Annals of Mathematics*.**176**(1): 221–260. doi:10.4007/annals.2012.176.1.3. S2CID 8793786. - Alex Eskin; Maryam Mirzakhani; Amir Mohammadi (2015). "Isolation, equidistribution, and orbit closures for the action on moduli space".
*Annals of Mathematics*.**182**(2): 673–721. arXiv:1305.3015. doi:10.4007/annals.2015.182.2.7. S2CID 8229920. - Alex Eskin; Maryam Mirzakhani (June 7, 2018). "Invariant and stationary measures for the action on Moduli space".
*Publications Mathématiques de l'IHÉS*.**127**(1): 95–324. arXiv:1302.3320. doi:10.1007/s10240-018-0099-2. S2CID 119906170.