Associate Professor of Mathematics
Rose-Hulman Institute of Technology
Publication List   |   Current Projects   |   Rose-Hulman Math REU page
E-mail me to obtain copies of preprints and articles
  • Behavior of positive singular solutions of $\Delta u = u^q$ near re-entrant cusp points (preprint)
  • Which way did that bicycle go? (to appear in the Mathematics Magazine)
  • Can a bicycle construct a unicycle track? , College Math Journal, 33 (2002) 283-292}, (Polya Award Winning Article)
  • Behavior of positive solutions to $\Delta_g u = u^q + Su$ with prescribed singularities, Indiana Univ. Math. J., 49 (2000) 177-219.
  • On the negative case of the singular Yamabe problem, Journal of Geometric Analysis, 9 (1999) 73-92.
  • Existence of singular solutions to $\Delta_g u = u^q + Su$ with prescribed singularities and their geometric implications, Communication in Partial Differential Equations, 23 (1998) 1795-1814.
  • Noncompact manifolds with constant negative scalar curvature and singular solutions to semilinear elliptic equations, Proceedings of the International Conference on Dynamical Systems and Differential Equations, Southwest Missouri State University, Vol. 1, pgs 262-275 (1998)
  • Positive solutions of $\Delta_g u = u^q + Su$ singular at submanifolds with boundary, Indiana University Mathematics Journal, 43, (1994) 1359-1397.
  • Singularities and asymptotics for the equation $\Delta_g u - u^q = Su$ (with R.C. McOwen), Indiana University Mathematics Journal, 42, (1993) 1487-1523.