Mikhail Mikhailovich Postnikov (; 27 October 1927 – 27 May 2004) was a Soviet mathematician, known for his work in
algebraic and
differential topology
In mathematics, differential topology is the field dealing with the topological properties and smooth properties of smooth manifolds. In this sense differential topology is distinct from the closely related field of differential geometry, which ...
.
Biography
He was born in
Shatura, near
Moscow
Moscow is the Capital city, capital and List of cities and towns in Russia by population, largest city of Russia, standing on the Moskva (river), Moskva River in Central Russia. It has a population estimated at over 13 million residents with ...
. He received his Ph.D. from
Moscow State University
Moscow State University (MSU), officially M. V. Lomonosov Moscow State University,. is a public university, public research university in Moscow, Russia. The university includes 15 research institutes, 43 faculties, more than 300 departments, a ...
under the direction of
Lev Pontryagin
Lev Semyonovich Pontryagin (, also written Pontriagin or Pontrjagin, first name sometimes anglicized as Leon) (3 September 1908 – 3 May 1988) was a Soviet mathematician. Completely blind from the age of 14, he made major discoveries in a numbe ...
, and then became a professor at this university. He died in Moscow.
Selected publications
* ''Fundamentals of Galois theory'', 1961; 142 pp
Dover reprint, 2004* ''The variational theory of geodesics'', Translated from the Russian by Scripta Technica, Inc. Edited by Bernard R. Gelbaum. Saunders, Philadelphia, Pa., 1967; 200 pp.
* ''Linear algebra and differential geometry''. Translated from the Russian by Vladimir Shokurov.
Mir Publishers
Mir Publishers () was a major publishing house in the Soviet Union which continues to exist in modern Russia. It was established in 1946 by a decree of the USSR Council of Ministers and has been headquartered in Moscow since then. It was complete ...
, 1982; 319 pp.
* ''Smooth manifolds'', Mir Publishers, 1989; 511 pp.
''Geometry VI: Riemannian Geometry'' Springer, 2001, 504 pp.
French
* ''Leçons de géométrie : Semestre I : Géométrie analytique'', Éditions Mir, 1981; 279 pp.
* ''Leçons de géométrie : Semestre II : Algèbre linéaire et géométrie différentielle'', Éditions Mir, 1981; 263 pp.
* ''Leçons de géométrie : Semestre III : Variétés différentiables'', Éditions Mir, 1990; 431 pp.
* ''Leçons de géométrie : Semestre IV : Géométrie différentielle'', Éditions Mir, 1990; 439 pp.
* ''Leçons de géométrie : Semestre V : Groupes et algèbres de Lie'', Éditions Mir, 1985; 374 pp.
See also
*
Postnikov system
In homotopy theory, a branch of algebraic topology, a Postnikov system (or Postnikov tower) is a way of decomposing a topological space by filtering its homotopy type. What this looks like is for a space X there is a list of spaces \_ where\pi_k(X_ ...
*
Postnikov square
References
Bibliography
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1927 births
2004 deaths
20th-century Russian mathematicians
Topologists
Soviet mathematicians
Perm State University alumni
Moscow State University alumni
People from Shatursky District
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