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DEPARTMENT OF DIFFERENTIAL GEOMETRY AND APPLICATIONS
The Department of Differential Geometry is one of the oldest departments of Mechanics and Mathematics at Moscow State University.
It was founded in 1933, although its foundation was actually laid back in 1922-1923
V.F. Kagan, who moved to Moscow from Odessa in 1922. In 1923 he was elected
Professor of the Faculty of Physics and Mathematics of the 1st Moscow University
and immediately gathered around him a group of mathematicians who actively developed differential geometry.
On this basis, in 1927, V.F. Kagan founded a seminar on vector and
tensor analysis at Moscow University. Since the 20s of the 20th century, this seminar has become a centre of attraction for many mathematicians and geometers. Thus the first head of the Department of Differential Geometry at Moscow State University, in 1933, was Professor Veniamin (Beniamin) Fedorovich (Falkovich) Kagan (1869–1953).
Previously, in 1920-1922, he was a professor of mathematics at the Odessa Institute of Public Education.
Then “V.F. Kagan, the founder of the tensor differential-geometric school, moved to Moscow and became a professor at Moscow University.” For more information, see the following materials:
V. Levchenko “Jews in the teaching staff of the Odessa Institute of Public Education
(1920-1930): Retrospective analysis”. Materials of the Seventeenth Annual International Interdisciplinary
Conferences on Jewish Studies. - Moscow, 2010. Part 2. P.245-260. See also: Notkina O.Yu. "Benjamin (Benjamin)
Fedorovich (Falkovich) Kagan”, p.10. See also the article “Veniamin Fedorovich Kagan. On his eightieth birthday.” N.V.Efimov, A.M.Lopshits, P.K.Rashevsky. Uspekhi Mat. Nauk, 1949, volume 4, issue 2(30), pp. 5-14.
From 1952 to 1964 the department was headed by Professor Sergei Pavlovich Finikov, from 1964
to 1983 Honored Scientist Professor Pyotr Konstantinovich Rashevsky; and from 1992 to the present
time Academician Anatoly Timofeevich Fomenko.
In the 20s and 30s, scientific work at the department was carried out by two schools. The school founded by V.F. Kagan developed methods of tensor analysis and Riemannian geometry. V.F. Kagan was engaged in deep questions of the axiomatics of geometry, research in history
non-Euclidean geometry. In 1934 the famous international conference on differential
geometry was held with the participation of leading scientists. It played a huge role in the further development of differential
geometry and its applications, and for many years determined the main scientific directions in the field of differential geometry.
In 1927 V.F. Kagan organized a seminar on vector and tensor analysis, and in 1933 founded the printed journal of the seminar “Proceedings of the seminar on vector and tensor analysis with their applications
to geometry, mechanics and physics”, regularly published today.
Another school, the most prominent representative of which was S.P. Finikov, continued research in classical differential
geometry, developed at Moscow State University on the initiative of Professor D.F. Egorov. In 1933 a research seminar on differential geometry was founded at the Department under the direction of S.P. Finikov. For scientific research
The activities of the seminar were decisively influenced by the use and development of E. Cartan's methods.
From 1964 to 1983 the department was headed by an Honored Scientist, an outstanding scientist, professor
P.K. Rashevsky, widely known for his fundamental research in the field of Riemannian geometry and tensor analysis,
theory of groups and Lie algebras and the theory of their representations. His students and the school he created also developed the theory
homogeneous spaces, methods of calculus of variations.
During these years, the department significantly expanded the scope of scientific research. The department's employees worked in a variety of fields
modern differential geometry and topology. At various times the Department was home to
Academician S.P. Novikov,
Professor A.M. Vasiliev,
Professor A.S. Mishchenko,
Professor A.T.Fomenko,
Professor Yu.P. Solovyov,
Professor V.L. Golo,
Professor A.N.Varchenko,
Professor V.V. Trofimov,
Professor L.E. Evtushik.
Senior laboratory assistant V.A. Gukovskaya devoted her entire life to the department.
In 1983, after the death of the head of the department P.K. Rashevsky, by order of the rector of Moscow State University, academician A.A. Logunov, the department
was merged with the Department of Higher Geometry and Topology, and in 1992, by order of the Rector of Moscow State University, Academician A.A. Logunov, the Department of Differential Geometry and Applications was created. Academician A.T. Fomenko was appointed head.
Currently the following employees work at the department:
Head of the Department Academician of the Russian Academy of Sciences Doctor of Physical and Mathematical Sciences FOMENKO Anatoly Timofeevich,
Corresponding Member of the RAS Dr.Sc. SHAFAREVICH Andrey Igorevich,
Professor Doctor of Physical and Mathematical Sciences IVANOV Alexander Olegovich,
Professor Doctor of Physical and Mathematical Sciences TUZHILIN Alexey Augustinovich,
Professor Doctor of Physical and Mathematical Sciences OSHEMKOV Andrey Aleksandrovich,
Professor of the RAS Doctor of Physical and Mathematical Sciences Elena Aleksandrovna KUDRYAVTSEVA,
Professor Doctor of Physical and Mathematical Sciences ZHEGLOV Alexander Borisovich,
Professor Dr.Sc. PRZHIYALKOVSKY Viktor Vladimirovich,
Professor Doctor of Physical and Mathematical Sciences VEDYUSHKINA Victoria Viktorovna,
Associate Professor Ph.D. NOSOVSKY Gleb Vladimirovich,
Associate Professor Ph.D. POPELENSKY Fyodor Yurievich,
Associate Professor Ph.D. SHARYGIN Georgy Igorevich,
Associate Professor Ph.D. ILYUTKO Denis Petrovich,
Associate Professor Ph.D. NIKONOV Igor Mikhailovich,
Associate Professor Ph.D. KONYAEV Andrey Yurievich,
Associate Professor Ph.D. KIBKALO Vladislav Aleksandrovich,
assistant Ph.D. TOLCHENNIKOV Anton Aleksandrovich,
assistant BELOZEROV Gleb Vladimirovich,
training master KURKOVA Elena Evgenievna.
Articles about P.K. Rashevsky:
Speech by N.I. Lobachevsky on the most important subjects of education (English translation; scanned Russian original)
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