Albert Solomonovich Schwarz[1] (/ʃwɔːrts/; Russian: А. С. Шварц; born June 24, 1934) is a Soviet and American 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. His parents were arrested in the Stalinist purges in 1937.[2]
Schwarz studied under Vadim Yefremovich at Ivanovo Pedagogical Institute, having been denied admittance to Moscow State University on the grounds that he was the son of "enemies of the people."[3]
After defending his dissertation in 1958, he took a job at Voronezh University. In 1964 he was offered a job at Moscow Engineering Physics Institute.[4] He immigrated to the United States in 1989.[5]
Schwarz is one of the pioneers of Morse theory and brought up the first example of a topological quantum field theory.[6] The Schwarz genus, one of the fundamental notions of topological complexity, is named after him.[7] Schwarz worked on some examples in noncommutative geometry. He is the "S" in the AKSZ model (named after Mikhail Alexandrov, Maxim Kontsevich, Schwarz, and Oleg Zaboronski).[8]
In 1990, Schwarz was an invited speaker of the International Congress of MathematiciansinKyoto. He was elected to the 2018 class of fellows of the American Mathematical Society.[9]
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