Hello, my name is: Stephen C. Preston. I am an Assistant Professor at the University of Colorado at Boulder. I obtained my Ph.D. in 2002 at Stony Brook under David G. Ebin. Contact information: Email: Stephen.Preston@colorado.edu Office: Mathematics 302 Department of Mathematics, UCB 395 Boulder, CO 80309-0395 303-492-5026 (ph), 303-492-7707 (fax) Teaching: Fall 2006: Math 2300 (Calculus II) Spring 2007: Math 6240 (Differential Geometry II) Fall 2007: Math 4310 (Intro to Analysis) and Math 6230 (Differential Geometry I) Spring 2008: Math/AppM 4650 (Intermed Numerical Analysis I)

Differential Equations, Geometry, and Topology
Tuesdays, 1:00 pm, in Mathematics 350.

• `Eulerian and Lagrangian stability of fluid motions,' doctoral dissertation.
• `For ideal fluids, Eulerian and Lagrangian instabilities are equivalent,' in GAFA, volume 14, no. 5.
• `Nonpositive curvature on the area-preserving diffeomorphism group,' in J. Geom. Phys., volume 53, no. 2.
• `Singularities of the exponential map on the volume-preserving diffeomorphism group,' with David G. Ebin and Gerard Misiolek, in GAFA, volume 16, no. 4.
• `On the volumorphism group, the first conjugate point is always the hardest,' in Comm. Math. Phys., volume 267, no. 2.
• `The WKB method for conjugate points in the volumorphism group,' to appear in Indiana U. Math. J..

Talks:

• A survey of geometrical methods in ideal fluid mechanics. (Stony Brook job talk)
• Conjugate points on the volumorphism group, and a Jacobi field picture. (CU Boulder job talk)
• Volumorphism geometry and fluid mechanics, a deviations picture, and a stable fluid on a sphere. (CU Boulder Applied Math talk)
• The WKB method for ideal fluid stability and a Lagrangian perturbation of a plane parallel flow. (CU Boulder Applied Math talk)

• Late-90s articles for the Stony Brook Press
• Fall 2002 columns for the Daily Pennsylvanian

A-Rad (Anca Radulescu)
What do you get when you google your name?