Lev Schnirelmann

Lev Genrikhovich Schnirelmann (also Shnirelman, Shnirel'man; Template:Lang; 2 January 1905 – 24 September 1938) was a Soviet mathematician who worked on number theory, topology and differential geometry.

Work

Schnirelmann sought to prove Goldbach's conjecture. In 1930, using the Brun sieve, he proved that any natural number greater than 1 can be written as the sum of not more than C prime numbers, where C is an effectively computable constant.<ref>Schnirelmann, L.G. (1930). "On the additive properties of numbers", first published in Proceedings of the Don Polytechnic Institute in Novocherkassk Template:In lang, vol XIV (1930), pp. 3–27, and reprinted in Uspekhi Matematicheskikh Nauk Template:In lang, 1939, no. 6, 9–25.</ref><ref>Schnirelmann, L.G. (1933). First published as "Über additive Eigenschaften von Zahlen" in Mathematische Annalen (in German), vol 107 (1933), 649-690, and reprinted as "On the additive properties of numbers" in Uspekhi Matematicheskikh Nauk Template:In lang, 1940, no. 7, 7–46.</ref>

His other fundamental work is joint with Lazar Lyusternik. Together, they developed the Lusternik–Schnirelmann category, as it is called now, based on the previous work by Henri Poincaré, George David Birkhoff, and Marston Morse. The theory gives a global invariant of spaces, and has led to advances in differential geometry and topology. They also proved the theorem of the three geodesics, that a Riemannian manifold topologically equivalent to a sphere has at least three simple closed geodesics.

Biography

Schnirelmann graduated from Moscow State University in 1925 and then worked at the Steklov Mathematical Institute from 1934 to 1938. His advisor was Nikolai Luzin.

Schnirelmann committed suicide in Moscow on 24 September 1938, for reasons that are not clear. According to Lev Pontryagin's memoir from 1998, Schnirelmann gassed himself, due to depression brought on by feelings of inability to work at the same high level as earlier in his career.<ref>Template:Cite web</ref><ref name="Mac">Template:MacTutor Biography</ref> On the other hand, according to an interview Eugene Dynkin gave in 1988, Schnirelman took his own life after the NKVD tried to recruit him as an informer.<ref>Template:Cite web</ref>Template:Quote

See also

• Inscribed square problem
• Schnirelmann density
• Schnirelmann's constant
• Schnirelmann's theorem

Further reading

• Template:Cite book

External links

• Template:MathGenealogy
• Lev Genrihovich Schnirelmann, a popular article by V. Tikhomirov and V. Uspensky Template:In lang

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