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{{Short description|Mathematician at Ohio State University}}
{{BLP unsourced|date=October 2009}}

{{Notability|date=October 2009}}
{{Infobox scientist
'''Vitaly Bergelson''' is a mathematical researcher and professor at [[the Ohio State University]] in [[Columbus, Ohio]]. His research focuses on [[Ergodic theory]] and [[Combinatorics]]. He received his Ph.D under [[Hillel Furstenberg]] at the [[Hebrew University of Jerusalem]].
| name = Vitaly Bergelson
⚫
Bergelson gave an Invited Address at the [[International Congress of Mathematicians]] in 2006 in Madrid.<ref>[http://www.icm2006.org/v_f/AbsDef/Globals/Invited10.pdf ICM 2006, Invited Lectures Abstracts], ICM2006.org. Accessed January 23, 2010</ref>
| image = Vitaly Bergelson.jpg
| image_size = 220px
| caption = Vitaly Bergelson
| birth_date = 1950
| birth_place = Kiev
| fields = Mathematics
| workplaces = [[Ohio State University]]
| alma_mater = [[Hebrew University of Jerusalem]]
| doctoral_advisor = Hillel Furstenberg
| known_for = Polynomial generalization of Szemerédi's theorem
| awards = Fellow of the [[American Mathematical Society]] (2012)
⚫
}}
'''Vitaly Bergelson''' (born 1950 in [[Kiev]]<ref name="mc"/>) is a mathematical researcher and professor at [[Ohio State University]]<!--Wikipedians do not use "The" as part of Ohio State's name; it is considered a marketing gimmick, and routinely deleted.--> in [[Columbus, Ohio]]. His research focuses on [[ergodic theory]] and [[combinatorics]].

Bergelson received his Ph.D in 1984 under [[Hillel Furstenberg]] at the [[Hebrew University of Jerusalem]].<ref name="mc"/>
⚫
He gave an [[list of International Congresses of Mathematicians Plenary and Invited Speakers|invited address at the International Congress of Mathematicians]] in 2006 in Madrid.<ref>[http://www.icm2006.org/v_f/AbsDef/Globals/Invited10.pdf ICM 2006, Invited Lectures Abstracts], ICM2006.org. Accessed January 23, 2010</ref>
Among Bergelson's best known results is a polynomial generalization of [[Szemerédi's theorem]].<ref>[[Szemerédi|Szemerédi, E.]],
''On sets of integers containing no k elements in arithmetic progression''.
Collection of articles in memory of Juriĭ Vladimirovič Linnik.
[[Acta Arithmetica]], vol. 27 (1975), pp. 199–245</ref> The latter provided a positive solution to the famous Erdős–Turán conjecture from 1936 stating that any set of integers of positive upper density contains arbitrarily long [[arithmetic progression]]s. In a 1996 paper Bergelson and Leibman obtained an analogous statement for "polynomial progressions".<ref>V. Bergelson, A. Leibman,
''Polynomial extensions of van der Waerden's and Szemerédi's theorems.''
[[Journal of the American Mathematical Society]], vol. 9 (1996), no. 3, pp. 725–753</ref> The Bergelson-Leibman theorem<ref name="mc">Alexander Soifer, Branko Grünbaum, and Cecil Rousseau, [https://books.google.com/books?id=Vn3GLf-4YkEC&dq=%22Vitali+Bergelson%22&pg=PA358 Mathematical Coloring Book: Mathematics of Coloring and the Colorful Life of Its Creators.] [[Springer-Verlag]], New York, 2008, {{ISBN|0-387-74640-4}}; p. 358</ref> and the techniques developed in its proof spurred significant further applications and generalizations, particularly in the recent work of [[Terence Tao]].<ref>Tao, Terence.
''A quantitative ergodic theory proof of Szemerédi's theorem.'' Electronic Journal of Combinatorics, vol. 13 (2006), no. 1</ref><ref>[[Terence Tao|Tao, Terence]], and [[Tamar Ziegler|Ziegler, Tamar]].
''The primes contain arbitrarily long polynomial progressions.'' [[Acta Mathematica]], vol. 201 (2008), no. 2, pp. 213–305</ref>

In 2012 he became a fellow of the [[American Mathematical Society]].<ref>[http://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2012-11-10.</ref>


==References==
==References==
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==External links==
==External links==
*[http://www.math.osu.edu/~vitaly/ Bergelson's web page at OSU]
*[http://www.math.osu.edu/~vitaly/ Bergelson's web page at OSU]
*[http://genealogy.math.ndsu.nodak.edu/id.php?id=11331 Vitaly Bergelson], [[Mathematics Genealogy Project]]
*[https://zbmath.org/authors/?q=ai:bergelson.vitaly Author profile] in the database [[Zentralblatt MATH|zbMATH]]


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[[Category:Hebrew University of Jerusalem alumni]]
[[Category:Hebrew University of Jerusalem alumni]]
[[Category:Ohio State University faculty]]
[[Category:Ohio State University faculty]]
[[Category:20th-century mathematicians]]
[[Category:20th-century Israeli mathematicians]]
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[[Category:1950 births]]
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[[Category:Fellows of the American Mathematical Society]]

Latest revision as of 18:49, 27 July 2024

Vitaly Bergelson
Vitaly Bergelson
Born1950
Kiev
Alma materHebrew University of Jerusalem
Known forPolynomial generalization of Szemerédi's theorem
AwardsFellow of the American Mathematical Society (2012)
Scientific career
FieldsMathematics
InstitutionsOhio State University
Doctoral advisorHillel Furstenberg

Vitaly Bergelson (born 1950 in Kiev[1]) is a mathematical researcher and professor at Ohio State University in Columbus, Ohio. His research focuses on ergodic theory and combinatorics.

Bergelson received his Ph.D in 1984 under Hillel Furstenberg at the Hebrew University of Jerusalem.[1] He gave an invited address at the International Congress of Mathematicians in 2006 in Madrid.[2] Among Bergelson's best known results is a polynomial generalization of Szemerédi's theorem.[3] The latter provided a positive solution to the famous Erdős–Turán conjecture from 1936 stating that any set of integers of positive upper density contains arbitrarily long arithmetic progressions. In a 1996 paper Bergelson and Leibman obtained an analogous statement for "polynomial progressions".[4] The Bergelson-Leibman theorem[1] and the techniques developed in its proof spurred significant further applications and generalizations, particularly in the recent work of Terence Tao.[5][6]

In 2012 he became a fellow of the American Mathematical Society.[7]

References

[edit]
  1. ^ a b c Alexander Soifer, Branko Grünbaum, and Cecil Rousseau, Mathematical Coloring Book: Mathematics of Coloring and the Colorful Life of Its Creators. Springer-Verlag, New York, 2008, ISBN 0-387-74640-4; p. 358
  2. ^ ICM 2006, Invited Lectures Abstracts, ICM2006.org. Accessed January 23, 2010
  3. ^ Szemerédi, E., On sets of integers containing no k elements in arithmetic progression. Collection of articles in memory of Juriĭ Vladimirovič Linnik. Acta Arithmetica, vol. 27 (1975), pp. 199–245
  4. ^ V. Bergelson, A. Leibman, Polynomial extensions of van der Waerden's and Szemerédi's theorems. Journal of the American Mathematical Society, vol. 9 (1996), no. 3, pp. 725–753
  5. ^ Tao, Terence. A quantitative ergodic theory proof of Szemerédi's theorem. Electronic Journal of Combinatorics, vol. 13 (2006), no. 1
  6. ^ Tao, Terence, and Ziegler, Tamar. The primes contain arbitrarily long polynomial progressions. Acta Mathematica, vol. 201 (2008), no. 2, pp. 213–305
  7. ^ List of Fellows of the American Mathematical Society, retrieved 2012-11-10.
[edit]
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