Boris Tsygan

Boris L. Tsygan , Russian Борис Цыган (* 1958 ) is a Russian mathematician who works in the USA and deals with algebra .

Tsygan received his doctorate in 1987 from Lomonosov University under Yuri Manin . He taught at Pennsylvania State University and is a professor at Northwestern University .

Tsygan introduced cyclic cohomology independently of Alain Connes in the early 1980s , which is an important invariant of non-commutative geometry . He dealt early with Boris Lwowitsch Feigin in Russia with non-commutative geometry.

Fonts (selection)

• with Joachim Cuntz , Georges Skandalis : Cyclic Homology in Non-Commutative Geometry, Springer 2004
• with R. Nest: On the cohomology ring of an algebra, in: Advances in Geometry, Progress in Mathematics, 172, Birkhäuser, 1997, pp. 337-370, Arxiv
• with Paul Bressler, Ryszard Nest: Riemann-Roch theorems via deformation quantization 1,2, Advances in Mathematics, Volume 167, 2002, pp. 1–25, 26–73, Part 1, Arxiv 1999 , Part 2, Arxiv 2000
• with V. Dolgushev, D. Tamarkin: Noncommutative calculus and the Gauss-Manin connection, in: Higher structures in geometry and physics, Progr. Math., 287, Birkhäuser / Springer, New York, 2011, pp. 139–158, Arxiv
• Noncommutative Calculus and Operads , Arxiv 2012 (Lectures Hebrew University 2009/10)

Web links

• Homepage
• mathnet.ru

Individual evidence

1. ↑ Boris Tsygan in the Mathematics Genealogy Project (English)
2. ↑ Tsygan, Homology of matrix Lie algebras over rings and the Hochschild homology, Uspekhi Mat. Nauk, Volume 38, 1983, pp. 217-218, 1983, English Russ. Math. Survey, Vol. 38, 1983, pp. 198-199.