Education:

• Stanford University, Ph.D. Non-Euclidean Geometry and Low-Dimensional Topology

Research Areas:

My research interests lie in the fields of topology and geometry. A few current topics of interest:

• Some java applets and calculus web labs were produced with Professor Carol Crawford, see: http://www.usna.edu/MathDept/website/local/preview/labs/
• Presentation slides on Visualizing Space-Filling Curves, Fractals, and Web Publishing. Animation demos.
• An animated proof of the Pythagorean Theorem. (This proof is usually attributed to H. E. Dudeney 1917, but there is some question as to whether that’s right: see http://www.cut-the-knot.org/pythagoras/index.shtml proof #14.)

• Fractals such as the piece of the Mandelbrot Set I've drawn here. Click on it for a bigger view.

• Another interest is in finding high accuracy estimates of the "Lorenz attractor" pictured here. I've been using "continuous analytic continuation" to get 100-digit accuracy with reasonable computation time.
• A recent paper, to appear in Math Mag, discusses the spindle-like graph of z=x^x, where x is real but all complex branches are considered for z. Click on the small picture for a big view. Contact me for preprints.

• Computation of fractal dimension has been aided by the use of our MasPar (massively parallel) computer. Click on the schematic for a plain TeX file discussing its use.

Professional Experience:

• In recent years I've been teaching core Calculus and Probability with Naval Applications.
• Post Renovation Cmte, Awards Cmte, Core Curriculum Cmte, Prior Chair, Plebes and Majors advising