Teaching: Pacific has been a great place to work closely with students. I love the interaction made possible by small classes and independent studies. It is satisfying to see many of our students go on to earn advanced degrees in mathematics or to assume other leading roles in society.
Areas of research: Commutative algebra, topology, topological groups. In recent years I have been working on extending some classical results on compact topological groups. These questions are part of a central theme in mathematics that has been on-going for nearly a century.
Asymptotic prime divisors and the altitude formula, Ph.D. Dissertation, University of Texas, 1980
Crossing the square, American Mathematical Monthly, 98 (1991), 833-834.
A level crossing of the square requires in nitely many constituants, Houston Journal of Mathematics, Vol. 18, No. 2, 1992
- The graph spaces of connectivity maps, Topology and its Applications 68 (1996) 97-105
- A generalization of 2-homogeneous continua being locally connected, Proceedings of the American Mathematical Society, Vol. 126, No. 10, 1998.
- Open connected sets in homogenous spaces, Houston Journal of Mathematics, Vol. 27, No. 3 (2001) 523-531.
- Local connectedness in transformation groups, Proceedings of the American Mathematical society, Vol. 130, No. 3 (2001) 903-907.
- (with Janusz Prajs) Filament sets and homogeneous continua, Topology and its Applications, 154 (2007), No. 8, 1581-1591.
- (with Janusz Prajs) Filament Additive Homogeneous Continua, Indiana University Mathematics Journal, 56 (2007) No. 1, 263-277.
- (with Janusz, Prajs) Filament sets, aposyndesis, and the decomposition theorem of Jones, Transactions of the American Mathematical Society, 359 (2007) No. 12, 5991-6000.
- (with Janusz, Prajs) Filament sets and decompositions of homogeneous continua, Topology and its Applications 154 (2007) No. 9, 1942-1950.
Professor of Mathematics