The Department boasts a number of mathematicians in various areas of
pure mathematics.
Faculty conducting research in algebra, topology, graph theory
and functional equations
- Ted Dobson works
in the area of algebraic graph theory with a specific focus on computing
automorphism groups of graphs. He has made many important contributions
to this area and the related field of permutations groups.
- Bruce Ebanks is an expert
in the area of functional equations. He has authored several dozen papers
during his career. His recent work includes finding solutions of the
cocycle equation on various groups and semigroups, and solving functional
equations containing Cauchy differences.
- Paul Fabel has worked
on a variety of problems near the common frontier of algebraic, geometric,
and general topology, and on problems in topological dynamics. Recent
work concerns the development of tools to better understand spaces which
are topologically or geometrically complicated on the small scale.
- Corlis Johnson studies
nonassociative algebras and related objects. She also has an interest in
combinatorics. Much of her work has centered around the study of
finite neofields.
- Kevin Knudson is an
algebraic topologist. He is interested in computing homology groups of
various linear groups and applying these results to algebraic K-theory
and representation theory. Recently he has done work in discrete Morse
theory and equivariant topology.
|
|
