# Alex Eskin

Alex Eskin
BornMay 19, 1965 (age 56)
Kiev, USSR
NationalityAmerican
Alma materPrinceton University
Scientific career
FieldsMathematics
InstitutionsUniversity of Chicago
ThesisCounting Lattice Points on Homogeneous Spaces (1993)
Doctoral studentsMoon Duchin
Simion Filip

Alex Eskin (born May 19, 1965[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.

## Biography

Eskin was born in Kiev 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]

## Awards

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 ${\displaystyle P}$-invariant and stationary measures for the moduli of translation surfaces,[13] in joint work with Maryam Mirzakhani.

## Selected publications

• 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.
• 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 ${\displaystyle {\text{SL}}(2,\mathbb {R} )}$ 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.

## References

1. ^ a b Alex Eskin, Curriculum Vitae, Department of Mathematics, University of Chicago. Accessed 2019-09-07
2. ^ a b Louise Lerner (2019-09-06). "UChicago mathematician, physicists win $3 million 'Oscars of science'". UChicago News, University of Chicago. Retrieved 2019-09-07. 3. ^ "Alex Eskin. Member profile". U.S. National Academy of Sciences. Retrieved 2019-09-10. 4. ^ 5. ^ a b "Mathematician Alex Eskin, two alumni elected to National Academy of Sciences". UChicagoNews. 2015-05-05. Retrieved 2015-11-20. 6. ^ Eskin, Alex (1998). "Counting problems and semisimple groups". Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. II. pp. 539–552. 7. ^ ICM Plenary and Invited Speakers, International Mathematical Union. Accessed 2019-09-07. 8. ^ "Clay Research Award". Clay Mathematics Institute. Retrieved 2019-06-25. 9. ^ List of Fellows of the American Mathematical Society, retrieved 2012-12-02. 10. ^ National Academy of Sciences Members and Foreign Associates Elected Archived 2015-11-20 at the Wayback Machine, U.S. National Academy of Sciences, April 28, 2015; accessed November 20, 2015 11. ^ Rafi Letzter (2019-09-05). "Mathematician Wins$3 Million Breakthrough Prize for 'Magic Wand Theorem'". Live Science. Retrieved 2019-09-07.
12. ^
13. ^ Eskin, Alex; Mirzakhani, Maryam (June 7, 2018). "Invariant and stationary measures for the action on Moduli space". Publications Mathématiques de l'IHÉS. 127 (1): 95–324. doi:10.1007/s10240-018-0099-2. S2CID 119906170.