Dmitri Yurievich Burago (Дмитрий Юрьевич Бураго, born 1964) is a leading Russian - American

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, mathematical structure, structure, space, Mathematica ...

, specializing in differential, Riemannian, Finsler geometry,

geometric analysis Geometric analysis is a mathematical discipline where tools from differential equations, especially elliptic partial differential equations (PDEs), are used to establish new results in differential geometry and differential topology. The use of ...

dynamical systems In mathematics, a dynamical system is a system in which a Function (mathematics), function describes the time dependence of a Point (geometry), point in an ambient space, such as in a parametric curve. Examples include the mathematical models ...

and applications to

mathematical physics Mathematical physics is the development of mathematics, mathematical methods for application to problems in physics. The ''Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and the de ...

. He is the son of the celebrated Geometer and Russian

Yuri Dmitrievich Burago, with whom he also published well known book on metric geometry. Burago studied at 45th Physics-Mathematics School. Burago received his doctorate in 1994 at

Saint Petersburg State University Saint Petersburg State University (SPBGU; ) is a public research university in Saint Petersburg, Russia, and one of the oldest and most prestigious universities in Russia. Founded in 1724 by a decree of Peter the Great, the university from the be ...

under the supervision of

Anatoly Vershik Anatoly Moiseevich Vershik (; 28 December 1933 – 14 February 2024) was a Soviet and Russian mathematician. He is most famous for his joint work with Sergei V. Kerov on representations of infinite symmetric groups and applications to the lon ...

. He was at the

Steklov Institute Steklov Institute of Mathematics or Steklov Mathematical Institute () is a premier research institute based in Moscow, specialized in mathematics, and a part of the Russian Academy of Sciences. The institute is named after Vladimir Andreevich Ste ...

in Saint Petersburg and is now a professor at

Pennsylvania State University The Pennsylvania State University (Penn State or PSU) is a Public university, public Commonwealth System of Higher Education, state-related Land-grant university, land-grant research university with campuses and facilities throughout Pennsyl ...

's Center for Dynamical Systems and Geometry. In 1992, he was awarded the prize of the

Saint Petersburg Mathematical Society The Saint Petersburg Mathematical Society () is a mathematical society run by Saint Petersburg mathematicians. Historical notes The St. Petersburg Mathematical Society was founded in 1890 and was the third founded mathematical society in Russia ...

. In 1998, he was an Invited Speaker at the

International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the IMU Abacus Medal (known before ...

in Berlin. In 2014, he was awarded the

Leroy P. Steele Prize The Leroy P. Steele Prizes are awarded every year by the American Mathematical Society, for distinguished research work and writing in the field of mathematics. Since 1993, there has been a formal division into three categories. The prizes have b ...

with Yuri Burago and Sergei Vladimirovich Ivanov for their book ''A course in metric geometry''.

Selected publications

Articles

* "Periodic metrics." In: ''Seminar on dynamical systems'', pp. 90–95. Birkhäuser, Basel, 1994. * with Sergei Ivanov: "Riemannian tori without conjugate points are flat." Geometric & Functional Analysis GAFA 4, no. 3 (1994): 259–269. * with Sergei Ivanov and

Bruce Kleiner Bruce Alan Kleiner is an American mathematician, working in differential geometry and topology and geometric group theory. He received his Ph.D. in 1990 from the University of California, Berkeley. His advisor was Wu-Yi Hsiang. Kleiner is a p ...

"On the structure of the stable norm of periodic metrics."
Mathematical Research Letters 4, no. 6 (1997): 791-808. * with Michael Brin and Sergei Ivanov
"On partially hyperbolic diffeomorphisms of 3-manifolds with commutative fundamental group."
Modern dynamical systems and applications 307 (2004): 312 * with Sergei Ivanov and Leonid Polterovich
"Conjugation-invariant norms on groups of geometric origin."
arXiv preprint arXiv:0710.1412 (2007).

Books

* with Yuri Burago and Sergei Ivanov

American Mathematical Society 2001

References

External links

Mathnet.ru
20th-century Russian mathematicians 21st-century Russian mathematicians Geometers Differential geometers 1964 births Living people {{Mathematician-stub