Albert Schwarz - Wikiwand
For faster navigation, this Iframe is preloading the Wikiwand page for Albert Schwarz.

Albert Schwarz

From Wikipedia, the free encyclopedia

This article has multiple issues. Please help improve it or discuss these issues on the talk page. (Learn how and when to remove these template messages) This biography of a living person relies too much on references to primary sources. Please help by adding secondary or tertiary sources. Contentious material about living persons that is unsourced or poorly sourced must be removed immediately, especially if potentially libelous or harmful. (September 2010) (Learn how and when to remove this template message) This biography of a living person needs additional citations for verification. Please help by adding reliable sources. Contentious material about living persons that is unsourced or poorly sourced must be removed immediately, especially if potentially libelous or harmful.Find sources: "Albert Schwarz" – news · newspapers · books · scholar · JSTOR (September 2010) (Learn how and when to remove this template message) (Learn how and when to remove this template message)

Albert Solomonovich Schwarz[1] (/ʃwɔːrts/; Russian: А. С. Шварц; born June 24, 1934) is a mathematician and a theoretical physicist educated in the Soviet Union and now a professor at the University of California, Davis.

Schwarz was born in Kazan, Soviet Union.

Schwarz is one of the pioneers of Morse theory and brought up the first example of a topological quantum field theory. The Schwarz genus, one of the fundamental notions of topological complexity, is named after him. Schwarz worked on some examples in noncommutative geometry. He is the "S" in the famous AKSZ model (named after Mikhail Alexandrov, Maxim Kontsevich, Schwarz, and Oleg Zaboronsky).

In 1990, Schwarz was an invited speaker of the International Congress of Mathematicians in Kyoto. He was elected to the 2018 class of fellows of the American Mathematical Society.[2]

Monographs

  • Topology for physicists, Springer, 1996.
  • Quantum field theory and topology, Grundlehren der Math. Wissen. 307, Springer 1993 (translated from Russian original Kvantovaja teorija polja i topologija, Nauka, Moscow, 1989).
  • A. S. Švarc, Математические основы квантовой теории поля (Mathematical aspects of quantum field theory), Atomizdat, Moscow, 1975.

Papers (selection)

  • A. S. Švarc, Род расслоенного пространства, Докл. АН СССР (The genus of a fiber space (Russian), Dokl. Akad. Nauk SSSR (N.S.)) 119 (1958), no. 2, 219–222.
  • A. Schwarz, O. Zaboronsky, Supersymmetry and localization, Comm. Math. Phys. 183(2) (1997), 463–476.
  • M. Alexandrov, M. Kontsevich, A. Schwarz, O. Zaboronsky, The geometry of the master equation and topological quantum field theory, Int. J. Modern Phys. A12(7):1405–1429, 1997.
  • V. Kac, A. Schwarz, Geometric interpretation of the partition function of 2D gravity, Phys. Lett. B257 (1991), nos. 3–4, 329–334.
  • A. A. Belavin, A. M. Polyakov, A. S. Schwartz, Yu. S. Tyupkin, Pseudoparticle solutions of the Yang-Mills equations, Phys. Lett. B59 (1975), no. 1, 85–87.
  • V. N. Romanov, A. S. Švarc, Anomalies and elliptic operators (Russian), Teoret. Mat. Fiz. 41 (1979), no. 2, 190–204.
  • S. N. Dolgikh, A. A. Rosly, A. S. Schwarz, Supermoduli spaces, Comm. Math. Phys. 135 (1990), no. 1, 91–100.

See also

Notes

  1. ^ Credited as Schwartz in A. A. Belavin et al (1975).
  2. ^ 2018 Class of the Fellows of the AMS, American Mathematical Society, retrieved 2017-11-03

References

  • Albert Schwarz at the Mathematics Genealogy Project
  • Biography at ucdavis.edu
  • Шварц Альберт Соломонович // Воронежская энциклопедия : в 2 т. / Гл. ред. М. Д. Карпачёв. — Воронеж : Центр духовного возрождения Чернозёмного края, 2008. — Т. 2 : Н — Я. — 524 с. : ил., карты.
{{bottomLinkPreText}} {{bottomLinkText}}
Albert Schwarz
Listen to this article