### Research Interests

My research interests are in *Hamiltonian dynamics* in a broad sense.
Specifically, I have been studying the following topics:

- Quantum dynamics, semiclassical mechanics, and quantum control

- Optimal control theory

- Nonholonomic dynamics (dynamics of mechanical systems under non-integrable constraints, e.g., rolling and sliding constraints)

- Symplectic, Poisson, and contact geometry associated with the above systems

- Hamilton–Jacobi theory and its generalization to constrained dynamics

- Dirac structures and their applications to constrained dynamics

- Reduction by symmetry

- Structure-preserving numerical integrators

### Talks and Posters

PDF files of some of my talks and posters:

- Contact Geometry of Optimal Control Problems, Talk given at SIAM Conference on Control and Its Applications, July 2013
- Symplectic Semiclassical Mechanics, Talk given at Differential Equations Seminar, North Carolina State University, Raleigh, November 2012
- Nonholonomic Hamilton–Jacobi Theory via Chaplygin Hamiltonization, Poster given at Oberwolfach Workshop on Applied Dynamics and Geometric Mechanics, August 2011
- Discrete Hamilton–Jacobi Theory, Talk given at the minisymposium "Computational Methods for Geometric PDEs", ICIAM, Vancouver, July 2011
- Dirac and Nonholonomic Hamilton–Jacobi Theory, Talk given at Dynamical Systems Seminar, Waseda University, Tokyo, June 2011
- Nonholonomic Hamilton–Jacobi Theory: The Geometry and Dynamics of Rolling and Skating, Talk given at Differential Geometry and Control Seminar, Arizona State University, Tempe, April 2011