Andrei Bolibrukh

Andrei Andreyevich Bolibruch, (Russian Андрей Андреевич Болибрух, English transcription Andrey Andreevich Bolibrukh; born January 30, 1950 in Moscow, † 11 November 2003) was a Russian mathematician.

Life

Bolibruch studied at the Moscow State University, where he earned his doctorate under Mikhail Mikhailovich Postnikov and Alexei Tschernawskij ( Chernavskii ). In 1991 he was habilitated (Russian doctoral degrees). He was a professor at Moscow State University and deputy director of the Steklov Institute. He was also a professor at the Moscow Institute of Physics and Technology.

Bolibruch is known for work on ordinary differential equations in complexes of Fuchsian type ( ie linear with finitely many poles of the coefficient function at most 1st order ) and the associated Riemann - Hilbert problem ( 21 of Hilbert's problems, proof of the existence of linear differential equations for a given monodromy group ). In 1989 he gave to counterexamples to the purported solution of the 21st Hilbert problem by Josip Plemelj (1908 ) and demonstrated that the problem is not generally solvable. Bolibruch then looked for criteria, the conditions under which differential equations to a given monodromy group exist.

Bolibruch was since 1994 a member of the Russian Academy of Sciences and its secretary in the Department of Mathematics and computer science. In 1995 he received the Lyapunov price of the Russian Academy of Sciences. He was a member of the Executive Committee of the International Mathematical Union.

In 1994 he was invited speaker at the International Congress of Mathematicians (ICM ) in Zurich (The Riemann - Hilbert problem and Fuchsian Differential Equations on the Riemann sphere ). In 2001 he was awarded the State Prize of the Russian Federation.

Writings

  • With Dmitri Viktorovich Anossow: The Riemann - Hilbert Problem. Vieweg, Braunschweig, Aspects of Mathematics, 1994. ISBN 3-5280-6496- X
  • Inverse monodromy problems for the analytic theory of differential equations, in Bolibruch, Osipov, Sinai (Editor) Mathematical Events of the Twentieth Century, Springer 2006, p 49
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