Teaching & Supervision
Instructor, 2010-2020:
- Math 116.3 Calculus II
- Math 124.3 Calculus II
- Math 223.3 Calculus III
- Math 224.3 Calculus IV
- Math 238.3 Introduction to Differential Equations
- Math 352.3 Elementary Differential Geometry
- Math 452.3 Introduction to Modern Differential Geometry
- Math 818 Dynamical Systems
Research
My interests are in geometric mechanics, differential geometry, and related numerical analysis. My most recent publications are
- The geometry of convergence in numerical analysis. Journal of Computational Dynamics.
- On theoretical upper limits for valid timesteps of implicit ODE methods. AIMS Mathematics.
- The intrinsic linearization of equilibria of nonholonomic systems. Letters in Mathematical Physics.