Boris Tsygan

Boris Tsygan is a Professor in the Department of Mathematics at Northwestern University. He holds a PhD from Moscow State University and is affiliated with the university's mathematics department. His research interests are not explicitly detailed in the provided information. Tsygan can be contacted via email at b-tsygan@northwestern.edu or through his profile page at https://www.math.northwestern.edu/people/faculty/boris-tsygan1.html. His office is located in Lunt 302, and he can be reached at 847-467-6446.

Boris Tsygan is a Professor of Mathematics at Northwestern University, specializing in Noncommutative geometry, Mathematical Physics, and Algebra. His research focuses on the interplay between algebraic structures and geometric frameworks, particularly through the lens of homology, cohomology, and deformation quantization. He has contributed significantly to the understanding of Hochschild homology, cyclic homology, and the algebraic index theorem. His work often bridges noncommutative geometry with mathematical physics, exploring topics such as formality conjectures, symplectic Lie algebroids, and quantum groups. Tsygan's publications highlight the deep connections between algebraic K-theory, differential calculus, and index theorems in noncommutative settings.