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Ehud Hrushovski

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Ehud Hrushovski
FRS
Born1959 (age 64–65)
Known for
AwardsShaw Prize (2022)
Scientific career
Institutions
Thesis Contributions to stable model theory
Academic advisorsLeo Harrington

Ehud Hrushovski FRS (Template:Lang-he; born 30 September 1959) is a mathematical logician.[1] He is a Merton Professor of Mathematical Logic at the University of Oxford and a Fellow of Merton College, Oxford.[2] He was also Professor of Mathematics at the Hebrew University of Jerusalem.[3]

Early life and education

Hrushovski's father, Benjamin Harshav (Hebrew: בנימין הרשב, né Hruszowski; 1928–2015),[4] was a literary theorist, a Yiddish and Hebrew poet and a translator, professor at Yale University and Tel Aviv University in comparative literature. Ehud Hrushovski earned his PhD from the University of California, Berkeley in 1986 under Leo Harrington; his dissertation was titled Contributions to Stable Model Theory.[5] He was a professor of mathematics at the Massachusetts Institute of Technology until 1994, when he became a professor at the Hebrew University of Jerusalem. Hrushovski moved in 2017 to the University of Oxford, where he is the Merton Professor of Mathematical Logic.[3][1]

Career

Hrushovski is well known for several fundamental contributions to model theory, in particular in the branch that has become known as geometric model theory, and its applications.[6] His PhD thesis revolutionized stable model theory (a part of model theory arising from the stability theory introduced by Saharon Shelah). Shortly afterwards he found counterexamples to the Trichotomy Conjecture of Boris Zilber and his method of proof has become well known as Hrushovski constructions and found many other applications since.[7]

One of his most famous results is his proof of the geometric Mordell–Lang conjecture in all characteristics using model theory in 1996. This deep proof was a landmark in logic and geometry. He has had many other famous and notable results in model theory and its applications to geometry, algebra, and combinatorics.[8]

Honours and awards

He was an invited speaker at the 1990 International Congress of Mathematicians and a plenary speaker at the 1998 ICM.[9][10] He is a recipient of the Erdős Prize of the Israel Mathematical Union in 1994, the Rothschild Prize in 1998, the Karp Prize of the Association for Symbolic Logic in 1993 (jointly with Alex Wilkie) and again in 1998,[11] In 2007, he was honored with holding the Gödel Lecture. In his absence, a lecture on his work titled Algebraic Model Theory was given by Thomas Scanlon.[12] In 2019 he was awarded the Heinz Hopf Prize[1] and in 2022 the Shaw Prize in Mathematical Sciences.[13]

Hrushovski is a fellow of the American Academy of Arts and Sciences (2007),[14] and Israel Academy of Sciences and Humanities (2008). He was elected a Fellow of the Royal Society in 2020.[15]

References

  1. ^ a b c "Heinz Hopf Prize to a model theorist". math.ethz.ch. 23 October 2019. Retrieved 17 August 2020.
  2. ^ "Professor Ehud Hrushovski". Merton College, Oxford. Retrieved 17 August 2020.
  3. ^ a b "Academy of Europe: Hrushovski Ehud". www.ae-info.org. Retrieved 17 August 2020.
  4. ^ Archives, Ghetto Fighters' House
  5. ^ Ehud Hrushovski at the Mathematics Genealogy Project
  6. ^ Pillay, Anand; Pillay, Professor of Mathematics Anand (1996). Geometric Stability Theory. Clarendon Press. ISBN 978-0-19-853437-2.
  7. ^ Evans, David M.; Ferreira, Marco S. (April 2011). "The geometry of Hrushovski constructions, I. The uncollapsed case". Annals of Pure and Applied Logic. 162 (6): 474–488. arXiv:1103.3638. doi:10.1016/j.apal.2011.01.008. S2CID 3863424.
  8. ^ Bouscaren, Elisabeth (14 March 2009). Model Theory and Algebraic Geometry: An introduction to E. Hrushovski's proof of the geometric Mordell-Lang conjecture. Springer. ISBN 978-3-540-68521-0.
  9. ^ "ICM Plenary and Invited Speakers". International Mathematical Union. Retrieved 22 July 2019.
  10. ^ Hrushovski, Ehud (1998). "Geometrical model theory". Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. I. pp. 281–302.
  11. ^ "Karp Prize Recipients". Association for Symbolic Logic. Retrieved 22 July 2019.
  12. ^ Džamonja, Mirna (2007). "2007 Annual Meeting of the Association for Symbolic Logic". The Bulletin of Symbolic Logic. 13 (3): 386–408. doi:10.2178/bsl/1186666153. ISSN 1079-8986. JSTOR 4493334. S2CID 124193052.
  13. ^ Shaw Prize 2022
  14. ^ "Ehud Hrushovski". American Academy of Arts & Sciences. Retrieved 17 August 2020.
  15. ^ "Ehud Hrushovski". Royal Society. Retrieved 19 September 2020.
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