Provides an overview of fundamental groups in topology and their applications, focusing on the Seifert-van Kampen theorem and its implications for computing fundamental groups.
Explores computational discovery of novel materials, focusing on quantum spin Hall insulators and topological phases in transition metal dichalcogenides.
Explores the local structure of totally disconnected locally compact groups, covering commensurated subgroups, completions, local automorphisms, and the quasi-centre.