Yuri Burago

Yuri Burago
Yuri D. Burago at Oberwolfach in 2006. Photo courtesy MFO.
Born21 June 1936
NationalityRussian
Alma materSt. Petersburg State University
AwardsLeroy P. Steele Prize (2014)[1]
Scientific career
FieldsMathematics
InstitutionsSt. Petersburg State University
Doctoral advisorVictor Zalgaller
Aleksandr Aleksandrov
Doctoral studentsSergei Ivanov
Grigori Perelman

Yuri Dmitrievich Burago (Russian: Ю́рий Дми́триевич Бура́го; born 21 June 1936)[2] is a Russian mathematician. He works in differential and convex geometry.

Education and career

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Burago studied at Leningrad University, where he obtained his Ph.D. and Habilitation degrees. His advisors were Victor Zalgaller and Aleksandr Aleksandrov.

Yuri is a creator (with his students Perelman and Petrunin, and M. Gromov) of what is known now as Alexandrov Geometry. Also brought geometric inequalities to the state of art.

Burago is the head of the Laboratory of Geometry and Topology that is part of the St. Petersburg Department of Steklov Institute of Mathematics.[3] He took part in a report for the United States Civilian Research and Development Foundation for the Independent States of the former Soviet Union.[4]

Works

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  • Burago, Dmitri; Yuri Burago; Sergei Ivanov (2001-06-12) [1984]. A Course in Metric Geometry. American Mathematical Society (publisher). pp. 417. ISBN 978-0-8218-2129-9.
  • Burago, Yuri; Zalgaller, Victor (February 1988) [1980]. Geometric Inequalities. Transl. from Russian by A.B. Sossinsky. Springer Verlag. ISBN 3-540-13615-0.[5]

His other books and papers include:

  • Geometry III: Theory of Surfaces (1992)[5]
  • Potential Theory and Function Theory for Irregular Regions (1969)[5]
  • Isoperimetric inequalities in the theory of surfaces of bounded external curvature (1970)[5]

Students

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He has advised Grigori Perelman, who solved the Poincaré conjecture, one of the seven Millennium Prize Problems. Burago was an advisor to Perelman during the latter's post-graduate research at St. Petersburg Department of Steklov Institute of Mathematics.

Footnotes

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