Contact Information
I am interested in dynamical systems, differential and metric geometry and Lie theory. In particular
I like to think about 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.
Teaching
Fall 2009 I am teaching the following classes:
☐ Math 090, Mathematical Problem Solving
☐ Math 159.14, The Real Numbers
☐ Math 166, Advanced Euclidean Geometry
☐ Math 189, Geometric Transformations
Fall 2009 Office Hours: Monday through Thursday 1-2pm, 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, Introduction to Statistical Methods,
Linear algebra, Ordinary Differential Equations, Introduction to Partial Differential Equations, Discrete Mathematics, Introduction to Proof and Argument,
Introduction to Lie Groups and Lie algebras, Topics in non-Euclidean Geometry, and Geometric ODEs.
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.
I am currently working with a student on a number theory topic, and with a group of students on some geometry.
