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Evgeny Moiseev was born in Odintsovo, Moscow region on 7 March 1948, and attended a school with specialized training in programming in Reutov. In 1965, after graduating from high school, he entered Moscow State University, the Faculty of Physics. After graduating from the Faculty of Physics in 1971, he became a postgraduate student at the MSU Faculty of Computational Mathematics and Cybernetics and received his Candidate of Sciences (PhD) degree in Physics and Mathematics in 1974 for a thesis entitled «On the uniqueness of solutions of the second boundary value problem for an elliptic equation».

Moiseev worked at the Faculty of Computational Mathematics and Cybernetics from 1974. He was an assistant (1974-1979), an assistant professor (1979-1983), a professor at the Department of General Mathematics (1983-2008). He was awarded a degree of Doctor of Science in Physics and Mathematics for his doctoral thesis «Some problems of mixed type equations spectral theory» in 1981. In 1999 Evgeny Moiseev was appointed Dean of the Faculty of Computational Mathematics and Cybernetics. Since 2008 he has been a professor and the Head of the Department of Functional Analysis and its Applications. He has also worked part-time at the Computational center of the Russian Academy of Sciences, most recently in the position of Chief Researcher.

In Moscow State University Evgeny Moiseev delivered the following lecture courses: Functional Analysis, Mathematical Analysis, Applied Functional Analysis, Mixed Equations, Singular Integral Equations, and Spectral Methods for Non-Classical Mathematical Physics Problems Solution. He also conducted special seminars.

Moiseev supervised 7 Doctors of Science and 15 PhDs in Mathematics and Physics.

Moiseev headed MSU Young Researchers Council for five years (1983–1988). He worked as Academic Secretary of CMC Council. He was a Deputy Chairman of the Expert Council of the Higher Attestation Commission, the Editor in Chief of the journal “Integral Transforms and Special Functions”, the Editor in Chief of the series “Computational Mathematics and Cybernetics” in “MSU Vestnik”, an editorial board member of the journals “Differential Equations” and “RFBR Vestnik”.

Moiseev died on 25 December 2022, at the age of 74.[3]