Yuri Bazlov

Yuri Bazlov is a Lecturer in Pure Mathematics at The University of Manchester. His research interests include Lie algebras, Hopf algebras, representation theory, reflection groups, and Coxeter groups. He has contributed to the study of Drinfeld modules, symmetric algebras, and triangular decompositions. Bazlov's work explores topics such as cocycles, invariant polynomials, and group algebras. He has published articles in journals such as the Quarterly Journal of Mathematics and Advances in Mathematics. His research focuses on the interplay between algebraic structures and their representations, with applications to noncommutative rings and Lie algebra actions.

Yuri Bazlov is a researcher at the University of Manchester, specializing in Algebra. His work focuses on advanced algebraic structures and their applications, including Nichols–Woronowicz algebras, braided doubles, rational Cherednik algebras, and noncommutative Dunkl operators. He has explored connections between these structures and topics such as Schubert calculus on Coxeter groups, exterior powers of the adjoint representation, and the Harish-Chandra isomorphism for Clifford algebras. His research also involves cocycle twists, quantum Segre maps, and the study of complex reflection groups. Bazlov's contributions highlight the interplay between algebraic and geometric structures in modern mathematics.