Contact Information
I am interested in dynamical systems, differential and metric geometry and Lie theory. In particular
I have focused a lot of attention on discrete subgroups of semisimple Lie groups and the way they act on
compact manifolds by diffeomorphisms. This brings in some interactions with number theory and foliations.
At UNI, I teach mostly geometry classes.
My Curriculum Vitae.
Research
My research interests are in geometry, dynamics and Lie theory. I am especially interested
in problems which mix ideas from two or more of these fields.
Papers
1. with David Fisher, Cocycle Superrigidity and
Harmonic Maps with Infinite-Dimensional Targets.
International Mathematics Research Notices, vol. 2006,
Article ID 72405, 19 pages, 2006.
This is an announcement for next few items. |
| 2. with David Fisher, Strengthening Kazhdan´s Property (T) by Bochner
methods, submitted |
| 3. with David Fisher, Harmonic Maps into Infinite
Dimensional Manifolds and Cocycle Superrigidity, in
preparation. |
| 4.with Alexander Gorodnik and Ralf Spatzier, Regularity of Conjugacies of
Algebraic Actions of Zariski Dense Groups, submitted |
| 5. with Robin Forman,
Heather Hardway, Timothy Burke, and Diane Shao, A robust and
stable two protein switch: a model for the drosophila
Hunchback-Bicoid system, submitted |
Teaching
Fall 2008 I am teaching the following classes:
Math 166 Advanced Euclidean Geometry
Math 189 Geometric Transformations
Math 072, section 08, Introduction to Statistical Methods
Fall 2008 Office Hours: Monday and Wednesday 1-3pm, Thursday 3:30-4:30pm and by appt.
I have taught a variety of courses in the past, including the following:Advanced Euclidean Geometry, Geometric Transformations,
Differential Calculus, Integral Calculus, Multivariable Calculus, Dynamical Systems,
Linear algebra, Ordinary Differential Equations, Introduction to Partial Differential Equations, Discrete Mathematics, Introductiton to Proof and Argument,
Introduction to Lie Groups and Lie algebras, Topics in non-Euclidean Geometry and Geometric ODEs and Poincare.
I have also overseen independent reading classes for undergraduates in the following topics:
Representations of Lie algebras and particle physics (Spring 2005), Fuchsian Groups (Fall 2005), and led an
informal research project on quotients of homogeneous spaces (2006-2007).
During the 2007-2008 Academic year I directed a Senior Honors Thesis on the interactions of hyperbolic geometry, number theory and dynamical systems.
