• 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.