Fusion systems have emerged as a powerful conceptual framework that encapsulates the conjugation relationships among p-subgroups of finite groups. This categorical approach not only unifies aspects of ...

Supercharacter theory offers a tractable refinement of classical character theory by consolidating characters and conjugacy classes into supercharacters and superclasses. Initially conceptualised to ...

This paper considers random walks on a finite group G, in which the probability of going from x to yx, x, y ∈ G, depends only on y. The main results concern the distribution of the number of steps it ...

Igor B. Frenkel, newly named as the Sol Goldman Family Professor of Mathematics, is a leading representation theorist and mathematical physicist. Frenkel studies finite and infinite dimensional ...

This talk will start with a gentle introduction to the interplay between groups, operator algebras and unitary representations. I will continue with a summary of my recent research on operator ...

The equating accuracy of content-representative anchors versus nonrepresentative but substantially longer anchors is compared. Content representation was defined as a match between anchors and total ...