- Ph.D. - North Dakota State University, 1993

"On the Convergence of Ergodic Averages Over Zero Density Sequences in Topological Dynamics."

Advisor - Isak Kornfeld

Most people continue their masters research when they begin work on a PhD. I changed to Ergodic theory for my dissertation research. This was a hard transition because, in the words of one of my professors, "When you study discrete mathematics you become indiscrete." Ergodic theory uses a little of everything; real analysis, complex analysis, algebra, topology, number theory and geometry.

- M.S. - North Dakota State University, 1990

"On Certain Generalizations of of Ramanujan's Trigonometrical Sum and Their Relation to Mobius Inversion."

Advisor - Kenneth Johnson

This was a great opportunity to study a number of arithmetic functions and to see how the concept of partial ordering is fundamental to the interpretation of some classic theorems.

- B.S. 1986, Western Illinois University, Mathematics Education.
- A.S. 1983, Rock Valley College.