It is possible to state rewarding problems early on and I believe that creative ideas are more important than slog. More difficult problems are often quite close by and so most projects can be adjusted to whatever level is required. I greatly enjoy working with graduate students and some of the publications listed in the next section are the product of collaborations with graduate students. Please email me if you want to discuss your ideas with me. An orbit theorem, with VB Mnukhin, submitted Graphs and Combinatorics, November 1999.
Incidence structures with tight automorphism groups, in preparation.
Regular orbits of cyclic subgroups in permutation representations of certain simple groups, with A Zalesskii, in preparation. Kernels of modular inclusion maps, Discrete Mathematics. On modular homology in the Boolean algebra III, with P Jones, submitted, Journal of Algebra . On modular homology of 1-shellable complexes, with VB Mnukhin, submitted. This settles the next unproven case of a conjecture of Foulkes.