Algebra and combinatorics

Lie Algebras, vertex algebras and their representations.

Superalgebraic methods, explicit representations, quantum immanants.

Coxeter groups and groups generated by pseudoreflections.

Combinatorics of permutations and associated lattice paths.

Symmetric funtions.

Graphs, polytopes, matroids and their invariants.

Verbal subgroups of groups (in particular in profinite and residually finite groups).

Automorphisms of free groups and associated outer spaces.