Recent Ph. D. Students
Erin McNicholas,
Embedded Tree Structures and Eigenvalue Statistics of
Genus Zero One-Face Maps (2006)
Adam Spiegler,
Stability of Generic Equilibria of the 2N-dimensional
Rigid Body Using the
Energy-Casimir Method (2006)
Luis Garcia-Naranjo,
Almost Poisson Brackets for Nonholonomic Systems
on Lie Groups (2007)
Some term papers written by
first-year graduate students:
Tyler McMillen (1997-8):
Storing images with fractal image compression
Dmitry Kondrashov (1997-8):
Geometric theory of crystal growth
Jeanine Smallwood (1997-8):
Euler Euler everywhere (calculus of variations)
Sheree LeVarge (2002-3):
Theory of semigroups
Matt Beauregard (2002-3):
Global Attractors for Infinite-Dimensional Systems...
Suz Tolwinski (2006-7):
Hilbert Transform, Empirical Mode Decomposition, and
Data Analysis
Stuart Kent (2007-8):
Lagrangian Coherent Structures...
David Lyttle (2007-8):
Stochastic Resonance in Neurobiology
Rebecca Stockbridge (2007-8):
The Discrete Binomial Model for Option Pricing
Bole Yang (2007-8):
Long Range Dependence of Fractional Brownian Motion
and
Application in Data Networks
Permanently unfinished notes on
"Some geometry in high-dimensional spaces",
(Starting point of Math 527a, Fall 2002)
Notes on
Principles of Analysis (419 pages)
In djvu format, scanned by Ivan Shalaev.
(Thanks!) Written during 1988-1991;
primitive macros;
120MB hard drive;
scotch-taped figures.
It would be a major
effort to make revisions,
and the many mistakes---math and typos--may never
be corrected.