?????; 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.