Yuri Dmitrievich Burago (russian: Ю́рий Дми́триевич Бура́го) (born 1936) is a Russian

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

. He works in differential and

convex geometry In mathematics, convex geometry is the branch of geometry studying convex sets, mainly in Euclidean space. Convex sets occur naturally in many areas: computational geometry, convex analysis, discrete geometry, functional analysis, geometry of numbe ...

Education and career

Burago studied at

Leningrad University Saint Petersburg State University (SPBU; russian: Санкт-Петербургский государственный университет) is a public research university in Saint Petersburg, Russia. Founded in 1724 by a decree of Peter the G ...

, where he obtained his

Ph.D. A Doctor of Philosophy (PhD, Ph.D., or DPhil; Latin: or ') is the most common degree at the highest academic level awarded following a course of study. PhDs are awarded for programs across the whole breadth of academic fields. Because it is a ...

and

Habilitation Habilitation is the highest university degree, or the procedure by which it is achieved, in many European countries. The candidate fulfills a university's set criteria of excellence in research, teaching and further education, usually including a ...

degrees. His advisors were

Victor Zalgaller Victor (Viktor) Abramovich Zalgaller ( he, ויקטור אבּרמוביץ' זלגלר; russian: Виктор Абрамович Залгаллер; 25 December 1920 – 2 October 2020) was a Russian-Israeli mathematician in the fields of ge ...

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. He took part in a report for the United States Civilian Research and Development Foundation for the Independent States of the former

Soviet Union The Soviet Union,. officially the Union of Soviet Socialist Republics. (USSR),. was a transcontinental country that spanned much of Eurasia from 1922 to 1991. A flagship communist state, it was nominally a federal union of fifteen national ...

.U.S. Civilian Research and Development Foundation for the Independent States of the former Soviet Union
. 2001 Program Report. The Steel prize, 2014.

Works

* * His other books and papers include: * ''Geometry III: Theory of Surfaces'' (1992) * ''Potential Theory and Function Theory for Irregular Regions'' (1969) * ''Isoperimetric inequalities in the theory of surfaces of bounded external curvature'' (1970)Bibliography
/ref>

Students

He has advised

Grigori Perelman Grigori Yakovlevich Perelman ( rus, links=no, Григорий Яковлевич Перельман, p=ɡrʲɪˈɡorʲɪj ˈjakəvlʲɪvʲɪtɕ pʲɪrʲɪlʲˈman, a=Ru-Grigori Yakovlevich Perelman.oga; born 13 June 1966) is a Russian mathemati ...

, who solved the

Poincaré conjecture In the mathematics, mathematical field of geometric topology, the Poincaré conjecture (, , ) is a theorem about the Characterization (mathematics), characterization of the 3-sphere, which is the hypersphere that bounds the unit ball in four-dim ...

, one of the seven

Millennium Prize Problems The Millennium Prize Problems are seven well-known complex mathematical problems selected by the Clay Mathematics Institute in 2000. The Clay Institute has pledged a US$1 million prize for the first correct solution to each problem. According ...

. Burago was an advisor to Perelman during the latter's

post-graduate Postgraduate or graduate education refers to academic or professional degrees, certificates, diplomas, or other qualifications pursued by post-secondary students who have earned an undergraduate ( bachelor's) degree. The organization and stru ...

research at St. Petersburg Department of Steklov Institute of Mathematics.

Footnotes

External links

Burago's page on the site of Steklov Mathematical Institute
*
Yuri Dmitrievich Burago
in the Oberwolfach Photo Collection {{DEFAULTSORT:Burago, Yuri Dmitrievich Soviet mathematicians Geometers Differential geometers 1936 births Living people Saint Petersburg State University alumni 20th-century Russian mathematicians 21st-century Russian mathematicians