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Grigory Margulis

Grigory Aleksandrovich Margulis (Russian: Григо́рий Алекса́ндрович Маргу́лис, first name often given as Gregory, Grigori or Gregori; born February 24, 1946) is a Russian-American[2] mathematician known for his work on lattices in Lie groups, and the introduction of methods from ergodic theory into diophantine approximation. He was awarded a Fields Medal in 1978, a Wolf Prize in Mathematics in 2005, and an Abel Prize in 2020, becoming the fifth mathematician to receive the three prizes. In 1991, he joined the faculty of Yale University, where he is currently the Erastus L. De Forest Professor of Mathematics.[3]

Biography[edit]

Margulis was born to a Russian family of Lithuanian Jewish descent in Moscow, Soviet Union. At age 16 in 1962 he won the silver medal at the International Mathematical Olympiad. He received his PhD in 1970 from the Moscow State University, starting research in ergodic theory under the supervision of Yakov Sinai. Early work with David Kazhdan produced the Kazhdan–Margulis theorem, a basic result on discrete groups. His superrigidity theorem from 1975 clarified an area of classical conjectures about the characterisation of arithmetic groups amongst lattices in Lie groups.


He was awarded the Fields Medal in 1978, but was not permitted to travel to Helsinki to accept it in person, allegedly due to antisemitism against Jewish mathematicians in the Soviet Union.[4] His position improved, and in 1979 he visited Bonn, and was later able to travel freely, though he still worked in the Institute of Problems of Information Transmission, a research institute rather than a university. In 1991, Margulis accepted a professorial position at Yale University.


Margulis was elected a member of the U.S. National Academy of Sciences in 2001.[5] In 2012 he became a fellow of the American Mathematical Society.[6]


In 2005, Margulis received the Wolf Prize for his contributions to theory of lattices and applications to ergodic theory, representation theory, number theory, combinatorics, and measure theory.


In 2020, Margulis received the Abel Prize jointly with Hillel Furstenberg "For pioneering the use of methods from probability and dynamics in group theory, number theory and combinatorics."[7]

Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], 17. Springer-Verlag, Berlin, 1991. x+388 pp. ISBN 3-540-12179-X MR1090825[8]

Discrete subgroups of semisimple Lie groups

On some aspects of the theory of Anosov systems. With a survey by Richard Sharp: Periodic orbits of hyperbolic flows. Translated from the Russian by Valentina Vladimirovna Szulikowska. Springer-Verlag, Berlin, 2004. vi+139 pp.  3-540-40121-0 MR2035655[9]

ISBN

(1980). Olli Lehto (ed.). The work of Gregori Aleksandrovitch Margulis. Proceedings of the ICM (Helsinki, 1978). Vol. 1. Helsinki: Academia Scientiarum Fennica. pp. 57–63. ISBN 951-41-0352-1. MR 0562596. Zbl 0426.22011. Archived from the original on 2013-02-12. 1978 Fields Medal citation.

J. Tits

at International Mathematical Olympiad

Grigory Margulis's results

at the Mathematics Genealogy Project

Grigory Margulis