Yakov Eliashberg

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Yakov Eliashberg
Vladimir Rokhlin[1]
Doctoral students
Websitemathematics.stanford.edu/people/yakov-eliashberg

Yakov Matveevich Eliashberg (also Yasha Eliashberg; Russian: Яков Матвеевич Элиашберг; born 11 December 1946) is an American mathematician who was born in Leningrad, USSR.

Education and career

Yakov Eliashberg, Crafoord Prize Laureate in Mathematics 2016 at the Royal Swedish Academy of Sciences in Stockholm Sweden May 2016
Yakov Eliashberg, Crafoord Prize Laureate in Mathematics 2016 at the Royal Swedish Academy of Sciences in Stockholm Sweden May 2016

Eliashberg received his PhD, entitled Surgery of Singularities of Smooth Mappings, from

Vladimir Rokhlin.[1]

Due to the growing anti-Semitism in the Soviet Union, from 1972 to 1979 he had to work at the Syktyvkar State University in the isolated Komi Republic. In 1980 Eliashberg returned to Leningrad and applied for a visa, but his request was denied and he became a refusenik until 1987. He was cut off from mathematical life and was prevented to work in academia, but due to a friend's intercession, he managed to secure a job in industry as the head of a computer software group.[2][3][4]

In 1988 Eliashberg managed to move to the United States, and since 1989 he has been Herald L. and Caroline L. Ritch professor of mathematics at Stanford University.[5] Between 2001 and 2002 he was Distinguished Visiting professor at the Institute of Advanced Studies.[6]

Awards

Eliashberg received the "Young Mathematician" Prize from the

Leningrad Mathematical Society in 1972.[7] He was an invited speaker at the International Congress of Mathematicians in 1986,[8] 1998[9] and 2006 (plenary lecture).[10] In 1995 he was a recipient of the Guggenheim Fellowship.[11]

In 2001 Eliashberg was awarded the

contact topology.[14]

In 2002 Eliashberg was elected to the

University of Uppsala in 2017.[19]

In 2013 Eliashberg shared with

Swedish Academy of Sciences for the development of contact and symplectic topology and groundbreaking discoveries of rigidity and flexibility phenomena.[21]

In 2020 he received the

Simon K. Donaldson).[2][22][23] He was elected to the American Academy of Arts and Sciences in 2021.[24] For 2023 he was awarded the BBVA Foundation Frontiers of Knowledge Award in Basic Sciences (jointly with Claire Voisin).[25]

Research

Eliashberg's research interests are in

contact topology.[4]

In the 80's he developed a combinatorial technique[13] which he used to prove that the group of symplectomorphisms is -

diffeomorphism group.[26] This fundamental result, proved in a different way also by Gromov[27]
is now called the Eliashberg-Gromov theorem, and is one of the first manifestation of symplectic rigidity.

In 1990 he discovered a complete topological characterization of Stein manifolds of complex dimension greater than 2.[28]

Eliashberg classified

contact structures into "tight" and "overtwisted" ones.[29] Using this dichotomy, he gave the complete classification of contact structures on the 3-sphere.[14] Together with Thurston, he developed the theory of confoliations, which unifies foliations and contact structures.[30]

Eliashberg worked on various aspects of the

Mikhail Gromov, and he wrote in 2002 an introductory book on the subject.[31]

Together with Givental and Hofer, Eliashberg pioneered the foundations of symplectic field theory.[32]

He supervised 41 PhD students as of 2022.[1]

Major publications

Books

References

  1. ^ a b c Yakov Eliashberg at the Mathematics Genealogy Project
  2. ^ a b "Yakov Eliashberg". Wolf Foundation. 2020-01-13. Retrieved 2022-08-08.
  3. ^ Schulman, Julia; Hsieh, Michael (2021-02-11). "Coffin Problems: Soviet Anti-Semitism Buried Rising Jewish Scientists". Tablet Magazine. Retrieved 2022-08-08.
  4. ^
    OCLC 370387862.{{cite book}}: CS1 maint: others (link
    )
  5. ^ "Yakov Eliashberg". mathematics.stanford.edu. Retrieved 2022-08-09.
  6. ^ "Yakov Eliashberg". www.ias.edu. 2019-12-09. Retrieved 2022-08-08.
  7. ^ "SPb. Math. Society: the awards". Saint Petersburg Mathematical Society. Retrieved 2022-08-09.
  8. ^ Gleason, Andrew M., ed. (1986). Proceedings of the International Congress of Mathematician 1986 (PDF). Vol. 1. Berkeley: American Mathematical Society. pp. 531–539.
  9. ^ Louis, Alfred K.; Schneider, Peter, eds. (1998). Proceedings of the International Congress of Mathematician 1998 (PDF). Vol. 2. Berlin: German Mathematical Society. pp. 327–338.
  10. ^ Sanz-Solé, Marta; Soria, Javier; Varona, Juan Luis; Verdera, Joan, eds. (2007). Proceedings of the International Congress of Mathematician 2006 (PDF). Vol. 1. Madrid: European Mathematical Society. pp. 217–246.
  11. ^ "Yakov Eliashberg". John Simon Guggenheim Memorial Foundation. Retrieved 2022-08-08.
  12. Notices of the AMS
    . 48 (4): 408–410.
  13. ^ a b Eliashberg, Ya M. (1986). "Combinatorial methods in symplectic geometry". Proc. of the International Congress of Mathematicians, 1986. pp. 531–539.
  14. ^
    ISSN 0373-0956
    .
  15. ^ "Yakov Eliashberg". www.nasonline.org. Retrieved 2022-08-08.
  16. ^ List of Fellows of the American Mathematical Society, retrieved 2012-12-02.
  17. ^ "Award Presentation Ceremony 2012 | The Shaw Prize". www.shawprize.org. Retrieved 2022-08-08.
  18. ^ Mangin, Fabienne (2019). "La remise des insignes de Docteur 'Honoris Causa', une tradition au sein de l'ENS de Lyon" [The presentation of the insignia of doctor "Honoris Causa", a tradition within the ENS of Lyon]. alumni.ens-lyon.fr (in French). Retrieved 2022-08-08.
  19. ^ Piehl, Jakob. "Honorary Doctors of the Faculty of Science and Technology - Uppsala University, Sweden". www.uu.se. Retrieved 2022-08-08.
  20. ^ "Laureates 2013". math.ethz.ch. Retrieved 2022-08-08.
  21. ^ "The Crafoord Prizes in Mathematics and Astronomy 2016".
  22. ^ University, Stanford (2020-01-17). "Yakov Eliashberg awarded Wolf Prize in Mathematics". Stanford News. Retrieved 2022-08-08.
  23. S2CID 225820459
    .
  24. ^ "Yakov Eliashberg". American Academy of Arts & Sciences. Retrieved 2022-08-08.
  25. ^ BBVA Foundation Frontiers of Knowledge Award 2023
  26. S2CID 121961311
    .
  27. ISBN 978-3-642-05720-5
    .
  28. ISSN 0129-167X
    .
  29. S2CID 121666486
    .
  30. OCLC 37748408
    .
  31. OCLC 49312496.{{cite book}}: CS1 maint: location missing publisher (link
    )
  32. S2CID 6725644
    , retrieved 2022-08-09
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