** Geometric, analytic, combinatorial,
and computational
aspects of
group
theory;**

** Low-dimensional
topology; Unitary representations and Invariant measures;**

** Metric geometry;
Complexity theory and Randomization.**

**
**Geometric
invariants and asymptotic geometry of groups;

Isoperimetric functions,
growth
functions, distortion;

Geometric actions of
discrete groups, quasi-isometries;

Amenable groups, groups
with
Kazhdan's property (T);

Burnside's groups,
"exceptional
groups" (infinite "monsters");

Sofic and hyperlinear
groups;
Random groups;

Automatic groups, word
hyperbolic groups, small cancellation theory;

Solvable, nilpotent,
polycyclic groups;

Spectra of graphs,
random
walks,
languages, automata;

Probabilistic methods
on finite and infinite graphs, groups and algebras**.**