Veniamin Fyodorovich Kagan (russian: Вениами́н Фёдорович Ка́ган; 10 March 1869 – 8 May 1953) was a Russian and Soviet mathematician and expert in
geometry
Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is c ...
. He is the maternal grandfather of mathematicians
Yakov Sinai
Yakov Grigorevich Sinai (russian: link=no, Я́ков Григо́рьевич Сина́й; born September 21, 1935) is a Russian-American mathematician known for his work on dynamical systems. He contributed to the modern metric theory of dy ...
and
Grigory Barenblatt
Grigory Isaakovich Barenblatt (russian: Григо́рий Исаа́кович Баренблат; 10 July 1927 – 22 June 2018) was a Russian mathematician.
Education
Barenblatt graduated in 1950 from Moscow State University, Department of Me ...
.
Biography
Kagan was born in Shavli, in the
Kovno Governorate
Kovno Governorate ( rus, Ковенская губеpния, r=Kovenskaya guberniya; lt, Kauno gubernija) or Governorate of Kaunas was a governorate ('' guberniya'') of the Russian Empire. Its capital was Kaunas (Kovno in Russian). It was form ...
of the
Russian Empire
The Russian Empire was an empire and the final period of the Russian monarchy from 1721 to 1917, ruling across large parts of Eurasia. It succeeded the Tsardom of Russia following the Treaty of Nystad, which ended the Great Northern War ...
(now
Šiauliai
Šiauliai (; bat-smg, Šiaulē; german: Schaulen, ) is the fourth largest city in Lithuania, with a population of 107,086. From 1994 to 2010 it was the capital of Šiauliai County.
Names
Šiauliai is referred to by various names in different la ...
,
Lithuania
Lithuania (; lt, Lietuva ), officially the Republic of Lithuania ( lt, Lietuvos Respublika, links=no ), is a country in the Baltic region of Europe. It is one of three Baltic states and lies on the eastern shore of the Baltic Sea. Lithuania ...
) in 1869, to a poor
Lithuanian Jewish
Lithuanian Jews or Litvaks () are Jews with roots in the territory of the former Grand Duchy of Lithuania (covering present-day Lithuania, Belarus, Latvia, the northeastern Suwałki and Białystok regions of Poland, as well as adjacent ...
family. In 1871 his family moved to Yekaterinoslav (now
Dnipro
Dnipro, previously called Dnipropetrovsk from 1926 until May 2016, is Ukraine's fourth-largest city, with about one million inhabitants. It is located in the eastern part of Ukraine, southeast of the Ukrainian capital Kyiv on the Dnieper Rive ...
), where he grew up. Kagan entered the
Imperial Novorossiya University in
Odesa
Odesa (also spelled Odessa) is the third most populous city and municipality in Ukraine and a major seaport and transport hub located in the south-west of the country, on the northwestern shore of the Black Sea. The city is also the administrati ...
in 1887, but was expelled for revolutionary activities in 1889. He was put on
probation
Probation in criminal law is a period of supervision over an offender, ordered by the court often in lieu of incarceration.
In some jurisdictions, the term ''probation'' applies only to community sentences (alternatives to incarceration), such ...
and sent back to Yekaterinoslav. He studied mathematics on his own and in 1892 passed the state exam at
Kyiv University
Kyiv University or Shevchenko University or officially the Taras Shevchenko National University of Kyiv ( uk, Київський національний університет імені Тараса Шевченка), colloquially known as KNU ...
.
In 1894 Kagan moved to
Saint Petersburg
Saint Petersburg ( rus, links=no, Санкт-Петербург, a=Ru-Sankt Peterburg Leningrad Petrograd Piter.ogg, r=Sankt-Peterburg, p=ˈsankt pʲɪtʲɪrˈburk), formerly known as Petrograd (1914–1924) and later Leningrad (1924–1991), i ...
where he continued his studies with
Andrey Markov
Andrey Andreyevich Markov, first name also spelled "Andrei", in older works also spelled Markoff) (14 June 1856 – 20 July 1922) was a Russian mathematician best known for his work on stochastic processes. A primary subject of his research lat ...
and
Konstantin Posse. They tried to help him to obtain an academic position, but Kagan's Jewish background was an obstacle. Only in 1897 was he allowed to become a
dozent
The title of docent is conferred by some European universities to denote a specific academic appointment within a set structure of academic ranks at or below the full professor rank, similar to a British readership, a French " ''maître de conf ...
at the Imperial Novorossiya University, where he continued to work until 1923. His students in the
theory of relativity
The theory of relativity usually encompasses two interrelated theories by Albert Einstein: special relativity and general relativity, proposed and published in 1905 and 1915, respectively. Special relativity applies to all physical phenomena in ...
class he taught in 1921-22 included
Nikolai Papaleksi,
Alexander Frumkin and
Igor Tamm
Igor Yevgenyevich Tamm ( rus, И́горь Евге́ньевич Тамм , p=ˈiɡərʲ jɪvˈɡʲenʲjɪvitɕ ˈtam , a=Ru-Igor Yevgenyevich Tamm.ogg; 8 July 1895 – 12 April 1971) was a Soviet physicist who received the 1958 Nobel Prize in ...
.
Kagan worked at
Moscow State University
M. V. Lomonosov Moscow State University (MSU; russian: Московский государственный университет имени М. В. Ломоносова) is a public research university in Moscow, Russia and the most prestigious ...
where he held the Geometry Chair from 1923 till 1952.
In 1924 he joined
Otto Schmidt
Otto Yulyevich Shmidt, be, Ота Юльевіч Шміт, Ota Juljevič Šmit (born Otto Friedrich Julius Schmidt; – 7 September 1956), better known as Otto Schmidt, was a Soviet scientist, mathematician, astronomer, geophysicist, statesm ...
in drawing up plans for the
Great Soviet Encyclopedia
The ''Great Soviet Encyclopedia'' (GSE; ) is one of the largest Russian-language encyclopedias, published in the Soviet Union from 1926 to 1990. After 2002, the encyclopedia's data was partially included into the later ''Bolshaya rossiyskaya e ...
.
Mathematical work
He published over 100 mathematical papers in different parts of
geometry
Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is c ...
, particularly on
hyperbolic geometry
In mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai–Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate of Euclidean geometry is replaced with:
:For any given line ''R'' and point ''P ...
and on
Riemannian geometry
Riemannian geometry is the branch of differential geometry that studies Riemannian manifolds, smooth manifolds with a ''Riemannian metric'', i.e. with an inner product on the tangent space at each point that varies smoothly from point to point ...
. He received the
Stalin Prize Stalin Prize may refer to:
* The State Stalin Prize in science and engineering and in arts, awarded 1941 to 1954, later known as the USSR State Prize
The USSR State Prize (russian: links=no, Государственная премия СССР, ...
in 1943. He founded the science publisher ''Mathesis'' in Odesa. He was a director of the mathematics and natural sciences department of the Great Soviet Encyclopedia. He wrote a definitive biography of
Nikolai Lobachevsky
Nikolai Ivanovich Lobachevsky ( rus, Никола́й Ива́нович Лобаче́вский, p=nʲikɐˈlaj ɪˈvanəvʲɪtɕ ləbɐˈtɕɛfskʲɪj, a=Ru-Nikolai_Ivanovich_Lobachevsky.ogg; – ) was a Russian mathematician and geometer, ...
and edited his collected works (5 volumes, 1946–1951).
Kagan's doctoral students include
Viktor Wagner
Viktor Vladimirovich Wagner, also Vagner (russian: Виктор Владимирович Вагнер) (4 November 1908 – 15 August 1981) was a Russian mathematician, best known for his work in differential geometry and on semigroups.
Wagner w ...
and
Isaak Yaglom.
Trivia
* He's a minor character in ''The Fourth Prose'' (1930) by
Osip Mandelstam
Osip Emilyevich Mandelstam ( rus, Осип Эмильевич Мандельштам, p=ˈosʲɪp ɨˈmʲilʲjɪvʲɪtɕ mənʲdʲɪlʲˈʂtam; – 27 December 1938) was a Russian and Soviet poet. He was one of the foremost members of the A ...
.
External links
*
*
Biography– in the "Kstati" newspaper (in Russian)
{{DEFAULTSORT:Kagan, Veniamin
1869 births
1953 deaths
19th-century mathematicians from the Russian Empire
20th-century Russian mathematicians
Mathematicians from the Russian Empire
People from Šiauliai
People from Kovno Governorate
Moscow State University faculty
Odesa University alumni
Taras Shevchenko National University of Kyiv alumni
Stalin Prize winners
Recipients of the Order of the Red Banner of Labour
Lithuanian Jews
Soviet Jews
Soviet mathematicians
Geometers
Differential geometers