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Andrey Muchnik | |
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Born | February 24, 1958 |
Died | March 18, 2007 49) | (aged
Citizenship | USSR Russia |
Alma mater | Moscow State University |
Awards | Kolmogorov Prize (2006) |
Scientific career | |
Fields | Mathematical logic |
Institutions | Scientific Council of the Academy of Sciences of the USSR Institute of New Technologies |
Doctoral advisor | Alexei Semyonov |
Andrey Albertovich Muchnik (February 24, 1958 - March 18, 2007) was a Soviet and Russian mathematician known for his work in the field of mathematical logic. He was awarded the A. N. Kolmogorov Prize in 2006.
Andrey Muchnik (born on February 24, 1958) was a Soviet mathematician renowned for his contributions to various fields within mathematics. His parents were Albert Abramovich Muchnik and Nadezhda Mitrofanovna Ermolaeva in the Soviet Union. Both parents were mathematicians and students of P. S. Novikov, a Soviet mathematician. Muchnik's father, Albert Muchnik, notably solved Post's problem regarding the existence of a non-trivial enumerable degree of Turing reducibility.
Andrey Muchnik began his academic journey at 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.
Starting from his third year at the university, he specialized in definability theory at the Department of Mathematical Logic, under the supervision of Alexei Semenov. In 1981, he completed his diploma on the solution to a problem posed by Michael Rabin at the International Congress of Mathematicians in Nice. The problem involved eliminating transfinite induction in the proof of Rabin's theorem on the solvability of the monadic theory of infinite trees. Later on, Muchnik applied his approach to prove a generalization of Rabin's theorem, which had been announced by Shelah and Stupp. [1] Using the original idea of Alfred Tarski, he introduced in the notion of self-definability to derive a short and elegant proof of the 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 in the field 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 ]. A large number of his results and collaborations were published after his death. [3]
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]
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