معرفی
Prof. Ilya Shapiro is a Professor in the Department of Mathematics and Statistics at the University of Windsor. His research focuses on advanced mathematical structures, including algebraic topology, category theory, and noncommutative geometry. He holds an office in the Lambton Tower (10-112) and can be reached via email at ishapiro@uwindsor.ca or phone at 519-253-3000 (Ext 4734).
His research interests emphasize cyclic cohomology, Hopf algebras, and their applications in theoretical physics. Notable themes include monoidal categories, anti-Yetter-Drinfeld modules, and Frobenius maps in p-adic contexts. He has explored connections between algebraic structures and geometry, such as gerbes over orbifolds and categorified Chern characters.
Recent work (2019–2024) highlights investigations into Hopf-cyclic coefficients in braided settings and the interplay between mixed and stable anti-Yetter-Drinfeld contramodules. Earlier contributions include studies on cyclic homology for Hom-associative algebras and p-adic gamma functions.
No scientific awards or grants are explicitly listed in the provided materials. His academic profile reflects a sustained focus on foundational mathematical research without mentioned collaborative labs or teams.
