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// Workers AI · dad joke modeWho's Boris Tsygan? A Russian to the party.

From Wikipedia, the free encyclopedia
Boris Tsygan
OccupationProfessor
Known forCyclic homology
Academic background
EducationKiev State University Moscow State University (PhD)
Yuri Manin
Academic work
DisciplineMathematician
Sub-discipline
Noncommutative geometry
InstitutionsNorthwestern University

Boris Tsygan is a mathematician prominent in noncommutative geometry who is currently a professor of mathematics at Northwestern University.[1] 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.[2] He was advised by prominent mathematician Yuri Manin when earning his PhD.

Research

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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[3] and has studied K-theory with Boris Feigin.

References

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  1. "Boris Tsygan's Homepage". sites.math.northwestern.edu. Retrieved 2025-10-30.
  2. Tamarkin, Dmitri; Tsygan, Boris (2000-02-15). "Noncommutative differential calculus, homotopy BV algebras and formality conjectures". arXiv:math/0002116.
  3. Shoikhet, Boris (2003-10-15). "A proof of the Tsygan formality conjecture for chains". Advances in Mathematics. 179 (1): 7–37. doi:10.1016/S0001-8708(02)00023-3. ISSN 0001-8708.