Research Interests: the geometry of two-step nilmanifolds;
Publications -- Math Research
Geodesics in Heisenberg-like two step nilpotent metric Lie groups (with R. DeCoste and L. DeMeyer), Journal of Lie Theory 21, no. 3 (2011), 711–727, abstract.
Minimal marked length spectrum of Riemannian two-step
nilmanifolds (with Ruth Gornet), Michigan Math. J. 52,
iss. 3 (2004), 683–716, doi:10.1307/mmj/1100623420.
Length minimizing geodesics and the length spectrum of
Riemannian two-step nilmanifolds (with Ruth Gornet), Journal of
Geometric Analysis, 13, No. 1, 2003 (first page).
The length spectrum of Riemannian two-step nilmanifolds (with
Ruth Gornet). Annales Scientifiques de l'École Normale
Supérieure (4) 33 (2000), no. 2, 181–209, (PDF).
Low-dimensional 2-step nilpotent Lie groups in
resonance. Algebras Groups Geom.14 (1997), no. 3,
Closed geodesics in 2-step nilmanifolds. Indiana
Univ. Math. J. 43 (1994), no. 3, 885–911.
Publications -- Quantitative Reasoning
Common Sense, with Ethan Bolker, in preparation. This is a quantitative reasoning textbook. See our site and blog at www.quantitativereasoning.net This work is supported in part by National Science Foundation grant DUE-0942186.