22 December 1869|
Moscow, Russian Empire
|Died||September 10, 1931
Kazan, Soviet Union
|Citizenship||Russian Empire, Soviet Union|
|Institutions||Moscow State University|
|Alma mater||Lomonosov University|
|Doctoral advisor||Nikolai Bugaev|
|Doctoral students||Pavel Alexandrov
|Known for||works on differential geometry and mathematical analysis, Egorov's Theorem, president of the Moscow Mathematical Society.|
Dmitri Fyodorovich Egorov (Russian: Дми́трий Фёдорович Его́ров; December 22, 1869 – September 10, 1931) was a Russian and Soviet mathematician known for significant contributions to the areas of differential geometry and mathematical analysis.
Egorov held spiritual beliefs to be of great importance, and openly defended the Church against Marxist supporters after the Russian Revolution. He was elected president of the Moscow Mathematical Society in 1921, and became director of the Institute for Mechanics and Mathematics at Moscow State University in 1923. He also edited the journal Matematicheskii Sbornik of the Moscow Mathematical Society. However because of Egorov's stance against the repression of the Church, he was dismissed from the Institute in 1929 and publicly rebuked. In 1930 he was arrested and imprisoned as a "religious sectarian", and soon after was expelled from the Moscow Mathematical Society. Upon imprisonment, Egorov began a hunger strike until he was taken to the prison hospital, and eventually to the house of fellow mathematician Nikolai Chebotaryov where he died.
Egorov studied potential surfaces and triply orthogonal systems, and made significant contributions to the broader areas of differential geometry and integral equations. His work influenced that of Jean Gaston Darboux on differential geometry and mathematical analysis. A theorem in real analysis and integration theory, Egorov's Theorem, is named after him.
Egorov's students included:
- Shields, Allen (1989), "Years Ago: Egorov and Luzin, Part 2", Mathematical Intelligencer 11 (2): 5–8, doi:10.1007/BF03023816. Reprinted in Sinai, Yakov G., ed. (2003), Russian Mathematicians in the 20th Century, World Scientific, pp. 67–70, ISBN 9789812383853.
- He published a proof of this theorem in the short paper Egoroff 1911, and the result become widely acknowledged under his name. Carlo Severini published a proof of the same result a year before, in the paper Severini 1910: however, the work of Severini was unnoticed until Leonida Tonelli recalled the attention on it (see the entry about Carlo Severini for further details).
- Kuznetsov, P. I. (1971), "Dmitrii Fedorovich Egorov (on the centenary of his birth)", Uspekhi Matematicheskikh Nauk (in Russian) 26 (5): 169–206, Bibcode:1971RuMaS..26..125K, doi:10.1070/RM1971v026n05ABEH003830, MR 384434, Zbl 0222.01015.
- Egoroff, D. Th. (1911), "Sur les suites des fonctions mesurables", Comptes rendus hebdomadaires des séances de l'Académie des sciences (in French) 152: 244–246, JFM 42.0423.01, available at Gallica.
- Severini, C. (1910), "Sulle successioni di funzioni ortogonali (On the sequences of orthogonal functions)", Atti dell'Accademia Gioenia, serie 5a (in Italian) 3 (5): Memoria XIII, 1–7, JFM 41.0475.04.
- Dmitri Egorov at the Mathematics Genealogy Project
- O'Connor, John J.; Robertson, Edmund F., "Dmitri Egorov", MacTutor History of Mathematics archive, University of St Andrews.