Aleksei Viktorovich Chernavskii
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Aleksei Viktorovich Chernavskii (or Chernavsky or Černavskii) (; 17 January 1938 – 22 December 2023) was a Russian mathematician, specializing in differential geometry and topology.


Biography

Chernavskii was born in
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 ...
and completed undergraduate study at the Faculty of Mechanics and Mathematics of
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 ...
in 1959. He enrolled in graduate school at the
Steklov Institute of Mathematics Steklov Institute of Mathematics or Steklov Mathematical Institute () is a premier research institute based in Moscow, specialized in mathematics, and a part of the Russian Academy of Sciences. The institute is named after Vladimir Andreevich Stek ...
. In 1964 he defended his
Candidate of Sciences A Candidate of Sciences is a Doctor of Philosophy, PhD-equivalent academic research degree in all the post-Soviet countries with the exception of Ukraine, and until the 1990s it was also awarded in Central and Eastern European countries. It is ...
(PhD) thesis, written under the guidance of
Lyudmila Keldysh Lyudmila Vsevolodovna Keldysh (; 12 March 1904 – 16 February 1976) was a Soviet mathematician known for set theory and geometric topology. Her son, Sergei Novikov, was also a mathematician. Biography Lyudmila Vsevolodovna Keldysh was born on 12 ...
, on the topic Конечнократные отображения многообразий (Finite-fold mappings of manifolds). In 1970 he defended his Russian
Doctor of Sciences A Doctor of Sciences, abbreviated д-р наук or д. н.; ; ; ; is a higher doctoral degree in the Russian Empire, Soviet Union and many Commonwealth of Independent States countries. One of the prerequisites of receiving a Doctor of Sciences ...
(habilitation) thesis Гомеоморфизмы и топологические вложения многообразий (Homeomorphisms and topological embeddings of manifolds). In 1970 he was an Invited Speaker at the
International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the IMU Abacus Medal (known before ...
in Nice. Chernavskii worked as a senior researcher at the Steklov Institute until 1973 and from 1973 to 1980 at
Yaroslavl State University The Yaroslavl Demidov State University (Russian language, Russian: ''Ярославский государственный университет имени П. Г. Демидова'') is an institution of higher education in Yaroslavl, Russia ...
. From 1980 to 1985 he was a senior researcher at the
Moscow Institute of Physics and Technology Moscow Institute of Physics and Technology (MIPT; , also known as PhysTech), is a public university, public research university located in Moscow Oblast, Russia. It prepares specialists in theoretical physics, theoretical and applied physics, ...
. From 1985 he was employed the Kharkevich Institute for Information Transmission Problems of the
Russian Academy of Sciences The Russian Academy of Sciences (RAS; ''Rossíyskaya akadémiya naúk'') consists of the national academy of Russia; a network of scientific research institutes from across the Russian Federation; and additional scientific and social units such ...
. From 1993 he was working part-time as a professor at the Department of Higher Geometry and Topology, Faculty of Mechanics and Mathematics, Moscow State University. He wrote a textbook on differential differential geometry for advanced students. Chernavskii died on 22 December 2023, at the age of 85.


Chernavskii's theorem

Chernavskii's theorem (1964): If M and N are ''n''-manifolds and f is a discrete, open, continuous mapping of M into N
then the branch set Bf = satisfies dimension (Bf) ≤ ''n'' – 2.


Selected publications

* * * * * * *


References


External links

* {{DEFAULTSORT:Chernavskii, Alexei 1938 births 2023 deaths Moscow State University alumni 20th-century Russian mathematicians 21st-century Russian mathematicians Differential geometers Topologists Scientists from Moscow