Education
- B.A., Oberlin College; 1979
- Ph.D., University of Michigan; 1985
Research Interests
My research training was in the areas of set theory and logic. In particular, I have published papers dealing with infinitary combinatorics and large cardinals.
More recently I have become interested in modeling and applications of mathematics to biology. I have also been fortunate enough to work with members of the Institut für Medizinische Biometrie at the University of Tübingen.
Publications and Professional Activities
- A Friendly Introduction to Mathematical Logic (2nd Edition) (with Lars Kristiansen), (2015), Milne Library, Geneseo NY.
- Fractals, average distance, and the Cantor set (with Dennis Ruppe and Gregg Hartvigsen), Fractals, vol. 18, no. 3 (2010), pp. 327-341.
- Component averages in subgraphs of circulant-like graphs (with Jaqueline M. Dresch, Niels C. Hansen, Gregg Hartvigsen and Anthony J. Macula), Bulletin of the Institute for Combinatorics and its Application, vol. 51 (2007), pp. 55-68.
- Tuning Degree Distributions: Departing from scale-free networks (with Hans-Peter Duerr, Markus Schwehm and Martin Eichner), Physica A: Statistical Mechanics and its Applications, vol. 382 (2007), pp. 731–738.
- The impact of contact structure on infectious disease control: influenza and antiviral agents. (with Hans-Peter Duerr, Markus Schwehm, SJ DeVlas and Martin Eichner), Epidemiology and Infection, vol. 135, no. 07, (2007), pp.1124-1132.
- Network structure, population size, and vaccination strategy and effort interact to affect the dynamics of influenza epidemics (with Gregg Hartvigsen, Jacqueline Dresch, Amy Zielinski, and Anthony Macula), The Journal of Theoretical Biology, vol. 246 (2007), pp. 205–215.
- High infection rates at low transmission potentials in West African onchocerciasis (with Hans-Peter Duerr and Martin Eichner), International Journal for Parasitology, vol. 36, no. 13 (2006), pp. 1367-1372.
- Filter games on omega and the dual ideal (with Claude Laflamme), Fundamenta Mathematicae, vol. 173, no. 2 (2002), pp. 159–173.