Biography:Andrey Muchnik

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Andrey Muchnik
DiedMarch 18, 2007 (2007-03-19) (aged 49)
CitizenshipUSSR
Russia
Alma materMoscow State University
AwardsKolmogorov Prize (2006)
Scientific career
FieldsMathematical logic
InstitutionsScientific Council of the Academy of Sciences of the USSR
Institute of New Technologies
Doctoral advisorAlexei Semyonov

Andrey Albertovich Muchnik (February 24, 1958 – March 18, 2007) was a Soviet and Russian mathematician who worked in the field of mathematical logic. He was awarded the A. N. Kolmogorov Prize in 2006.

Biography

Muchnik was born on February 24, 1958, to Albert Abramovich Muchnik and Nadezhda Mitrofanovna Ermolaeva in the Soviet Union. Both parents were mathematicians and students of P. S. Novikov, a Soviet mathematician. His father, Albert Muchnik, solved Post's problem about the existence of a non-trivial enumerable degree of Turing reducibility.

He entered Moscow State University, where he began working as a mathematician at the seminar of Evgenii Landis and Yulij Ilyashenko for junior students of the Faculty of Mechanics and Mathematics of Lomonosov Moscow State University. In his second year, he published his first work on differential equations under the guidance of Ilyashenko.

From his third year at the university onwards, he specialized in definability theory at the Department of Mathematical Logic, where Alexei Semenov was his supervisor. His diploma (1981) was about the solution of the problem posed by Michael Rabin at the International Congress of Mathematicians in Nice to eliminate transfinite induction in the proof of Rabin's theorem on the solvability of the monadic theory of infinite trees. Later, Muchnik used his approach to prove[1] a generalization of Rabin's theorem announced by Shelah and Stupp. Using the original idea of Alfred Tarski, he introduced in the notion of self-definability to obtain a short and elegant proof of Cobham-Semenov theorem. He earned his Ph.D. in 2001. [2]

Subsequently, he worked at the Institute of New Technologies and the Scientific Council of the USSR Academy of Sciences on the problem of cybernetics[citation needed]. Eventually, he became one of the leaders of the Kolmogorov seminar at Moscow State University[citation needed].

Muchnik also contributed fundamental results in the field of algorithmic information theory[citation needed]. Many results obtained by himself and in collaboration with colleagues were published after his death.[3]

Awards

Andrey was awarded the A.N. Kolmogorov Prize (together with Alexei Semenov, 2006) - for his achievements in the field of mathematics for the series of works "On the refinement of A.N. Kolmogorov, related to the theory of chance".[4]

References

  1. Semenov, A. L. (1984). "Decidability of Monadic Theories" (in en). Mathematical Foundations of Computer Science, Praha, Czechoslovakia, September 3–7, 1984. Proceedings. Lecture Notes in Computer Science. Lecture Notes in Computer Science (Berlin, Heidelberg: Springer) 176: 162–175. doi:10.1007/BFb0030296. ISBN 978-3-540-38929-3. https://link.springer.com/chapter/10.1007/BFb0030296. 
  2. Steinhorn, Charles. "Sept 2008 Newsletter". https://aslonline.org/files/newsletters/pdfs/Sept2008newsletter.pdf. 
  3. Адян, С. И.; Семёнов, А. Л.; Успенский, В. А.. "Андрей Альбертович Мучник (некролог), УМН, 62:4(376) (2007), 140–144; Russian Math. Surveys, 62:4 (2007), 775–779". https://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=rm&paperid=7922&option_lang=rus. 
  4. "Nominal awards and medals". https://www.ras.ru/about/awards/awdlist.aspx?awdid=60. 

External links