Boris Tsygan

Boris Tsygan is a mathematician prominent in noncommutative geometry who is currently a professor of mathematics at Northwestern University. He performed his undergraduate studies at Kiev State University concluding in 1980 and earned his PhD in pure mathematics at Moscow State University in 1987. He is credited with independently discovering cyclic homology along with Alain Connes. He was advised by prominent mathematician Yuri Manin when earning his PhD.

Research Much of Tsygan's research has been centered around cyclic homology, but he has also contributed to several other branches of mathematics. Notably, he is namesake of the Tsygan Formality Conjecture and has studied K-theory with Boris Feigin.