My research area is geometric function theory on one complex variable and a bit of complex dynamics. I also enjoy
thinking about pedagogical ideas, such as teaching precalculus mathematics, faculty development, and innovative ways
to teach classes for math majors.
Here are some of my publications, linked to their online abstracts. If you would like a copy of the paper, please
Developing a Mathematics Capstone Experience at the U.S. Air Force Academy, with Trae Holcomb, Kurt
Dale Peterson, accepted by PRIMUS, May 2012.
What’s the Point? The Benefits of Grading without Points, with Mike Brilleslyper, Michelle Ghrist, Trae Holcomb,
Warner, and Scott Williams (all of USAFA), accepted by PRIMUS, October 2010.
- Minimal Surfaces over Stars, with Jane McDougall (Colorado College), Journal of Mathematical Analysis and
Applications, Volume 340 (2008), p. 721-738.
- Harmonic Mappings onto Stars, with Peter Duren (University of Michigan) and Jane McDougall (Colorado
College), Journal of Mathematical Analysis and Applications, Volume 307 (2005), p. 312-320.
- Relation Rummy, with Kurt Herzinger (USAFA)
- PRIMUS (Problems, Resources, and Issues in Mathematics Undergraduate Studies), 12 (2002), p. 315-320.