Yuri Bazlov

Yuri Bazlov is a Lecturer in Pure Mathematics at The University of Manchester. His research focuses on Lie algebras, Hopf algebras, representation theory, reflection groups, and Coxeter groups. He holds a PhD in Mathematics from the Weizmann Institute of Science (2003), specializing in exterior powers of adjoint representations of semisimple Lie algebras.

His work explores algebraic structures such as rational Cherednik algebras, braided doubles, and Nichols–Woronowicz algebras, with applications to Schubert calculus and noncommutative geometry. Recent projects include studies on cocycle twists, quantum Segre maps, and mystic reflection groups.

Bazlov has contributed to foundational areas like Drinfeld modules, invariant polynomials, and Harish-Chandra isomorphisms for Clifford algebras. His research bridges abstract algebra with geometric and combinatorial methods, often involving reflection groups and their representations.

He supervises PhD students in topics such as Lie algebra actions on noncommutative rings and is actively involved in the Digital Futures research beacon at The University of Manchester.