Asymptotic Group Theory

This research group will explore the following topics:

Infinite groups:
– Branch groups and automata groups, their subgroups, representations, presentations, and subgroup growth
– Zeta functions of nilpotent groups
– Rigid groups
– Redidual properties of the modular group

Finite groups:
– Asymptotic aspects of finite simple groups, and probabilistic aspects in particular
– Generation, and random generation, of finite simple groups
– Algorithms for matrix groups