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Elon Lindenstrauss

From Wikipedia, the free encyclopedia
Israeli mathematician
Elon Lindenstrauss
אילון לינדנשטראוס
Born (1970-08-01)August 1, 1970 (age 54)
NationalityIsraeli
Alma materHebrew University of Jerusalem (BSc,MSc,PhD)
AwardsBlumenthal Award(2001)
Salem Prize(2003)
EMS Prize(2004)
Fermat Prize(2009)
Erdős Prize(2009)
Fields Medal(2010)
Scientific career
FieldsMathematics
InstitutionsHebrew University of Jerusalem
Princeton University
Institute for Advanced Study
Doctoral advisorBenjamin Weiss

Elon Lindenstrauss (Hebrew:אילון לינדנשטראוס; born August 1, 1970) is an Israelimathematician, and a winner of the 2010Fields Medal.[1][2]

Since 2004, he has been a professor atPrinceton University. In 2009, he was appointed as a Professor at theEinstein Institute of Mathematics at theHebrew University. In 2024 he was appointed a permanent faculty member in the School of Mathematics of theInstitute for Advanced Study.[3]

Biography

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Lindenstrauss was born into an Israeli-Jewish family withGerman Jewish origins, the son of the mathematicianJoram Lindenstrauss, the namesake of theJohnson–Lindenstrauss lemma, and computer scientist Naomi Lindenstrauss, both professors at theHebrew University of Jerusalem. His sister Ayelet Lindenstrauss is also a mathematician. He attended theHebrew University Secondary School. In 1988 he was awarded a bronze medal at the International Mathematical Olympiad. He enlisted to theIDF'sTalpiot program and studied at theHebrew University of Jerusalem, where he earned his BSc inMathematics andPhysics in 1991 and his master's degree in mathematics in 1995. In 1999 he finished his Ph.D., his thesis being "Entropy properties of dynamical systems", under the guidance of Prof. Benjamin Weiss. He was a member at theInstitute for Advanced Study inPrinceton, New Jersey, then a Szego Assistant Prof. atStanford University. From 2003 to 2005, he was a Long Term Prize Fellow at theClay Mathematics Institute.

Academic career

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In Fall 2014, he was a Visiting Miller Professor at theUniversity of California, Berkeley.[4] Lindenstrauss is an editor forDuke Mathematical Journal andJournal d'Analyse Mathématique.[5][6]

Lindenstrauss works in the area of dynamics, particularly in the area ofergodic theory and its applications innumber theory. WithAnatole Katok andManfred Einsiedler, he made progress on theLittlewood conjecture.[7]

In a series of two papers (one co-authored withJean Bourgain) he made major progress onPeter Sarnak's Arithmetic Quantum Unique Ergodicity conjecture. The proof of the conjecture was completed byKannan Soundararajan.

Recently withManfred Einsiedler,Philippe Michel andAkshay Venkatesh, he studied distributions of torus periodic orbits in some arithmetic spaces, generalizing theorems byHermann Minkowski andYuri Linnik.

Together withBenjamin Weiss he developed and studied systematically the invariant ofmean dimension[8] introduced in 1999 byMikhail Gromov.[9] In related work he introduced and studied thesmall boundary property and statedfundamental conjectures.[10]

Awards and recognition

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See also

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References

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  1. ^"Israeli wins world's most prestigious math prize".ynet. 19 August 2010. Retrieved19 August 2010.
  2. ^"Israeli Mathemetician Elon Lindenstrauss Wins Field Medal — Pictures". Zimbio. Retrieved2010-08-21.
  3. ^"Three World-Leading Mathematicians Join IAS Faculty - Press Release | Institute for Advanced Study". July 2024.
  4. ^"Elon Lindenstrauss". Simons Institute for the Theory of Computing. 17 March 2014. Retrieved24 May 2017.
  5. ^"Editorial board".Duke Mathematical Journal. Retrieved16 October 2022.
  6. ^"Editorial board".Journal d'Analyse Mathématique. Retrieved16 October 2022.
  7. ^Einsiedler, Manfred;Katok, Anatole; Lindenstrauss, Elon (2006-09-01)."Invariant measures and the set of exceptions to Littlewood's conjecture".Annals of Mathematics.164 (2):513–560.arXiv:math.DS/0612721.Bibcode:2006math.....12721E.doi:10.4007/annals.2006.164.513.MR 2247967.S2CID 613883.Zbl 1109.22004.
  8. ^Lindenstrauss, Elon;Weiss, Benjamin (2000-12-01)."Mean topological dimension".Israel Journal of Mathematics.115 (1):1–24.CiteSeerX 10.1.1.30.3552.doi:10.1007/BF02810577.ISSN 0021-2172.
  9. ^Gromov, Misha (1999). "Topological invariants of dynamical systems and spaces of holomorphic maps: I".Mathematical Physics, Analysis and Geometry.2 (4):323–415.Bibcode:1999MPAG....2..323G.doi:10.1023/A:1009841100168.S2CID 117100302.
  10. ^Lindenstrauss, Elon (1999-12-01)."Mean dimension, small entropy factors and an embedding theorem".Publications Mathématiques de l'Institut des Hautes Études Scientifiques.89 (1):227–262.doi:10.1007/BF02698858.ISSN 0073-8301.
  11. ^"Fields Medal – Elon Lindenstrauss, ICM2010".

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