Degrees

Ph.D., University of California, Berkeley
B.A., Reed College

Research Interests

• Discontinuous Open Maps
• Berry's Paradox
• The Sorites Paradox
• Zeno's Paradoxes
• Jorge Luis Borges
• Generic Topological Properties
• Hyperbolic Flows on Smooth Manifolds

Teaching Interests

• Spellbinding lectures
• Technology and its impact
• Appropriate use of computers
• Sensible and meaningful assessment

Other Interests

• Snowboarding
• Crossword puzzles
• Fountain pens
• Mountaineering
• Bicycling

Publications

Fair and Unfair Division in Neal Stephenson's Cryptonomicon. (with Michael Drout) in Mathematics and Popular Culture, 2011.

The Unimaginable Mathematics of Borges' Library of Babel. Oxford University Press, 2008. http://tinyurl.com/5vf83c

'Fractal Boundaries are Not Typical,' Topology and its Applications 154 (2007), 533-539

'The Unimaginable: Catalogues and the Book of Sand in The Library of Babel,' Variaciones Borges 19 (2005), 23-40

'Typical Sets and Meager Spaces,' Topology and its Applications 131 (2003), 39-49

'Fire and Water: A Natural Setting for Certain Chaotic Phenomena,' preprint

'No More (Math) Teachers≠ Dirty Looks,' preprint

'Tension in Generalized Geometric Sequences,' College Mathematics Journal 32, no. 1, (2001), 44-47

'There are no Attractors with Boundary for Axiom-A Diffeomorphisms,' preprint

'Extending Flows from Isolated Invariant Sets,' Ergodic Theory and Dynamical Systems 15, no. 6, (1995), 1031-1043