Background
Schwarz, Albert was born on June 24, 1934 in Kazan, Russia. Son of Solomon and Maria (Nemtsevitskaya) Schwarz. came to the United States, 1989.
Schwarz, Albert was born on June 24, 1934 in Kazan, Russia. Son of Solomon and Maria (Nemtsevitskaya) Schwarz. came to the United States, 1989.
Doctor of Philosophy (candidate of science), Moscow U., 1958; D of Sciences, Moscow U., 1960.
He is one of the pioneers of Morse theory and brought up the first example of a topological quantum field theory. 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. A. S. Albert Schwarz, Oleg 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. A 12(7):1405–1429, 1997 V. Kac, A. Schwarz, Geometric interpretation of the partition function of 2D gravity, Phys. Lett. B 257 (1991), no. 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. B 59 (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.
(In recent years topology has firmly established itself as...)
Member American Mathematics Society.
Married Lucy Kissina, June 6, 1961. Children: Galina and Michael.