Professional Preparation
Ph.D. - Applied Mathematics
University of Michigan - 2010
M.S. - Physics
University of Michigan - 2008
M.A.Sc. - Aerospace Engineering
University of Toronto - 2005
M.Eng. - Aeronautics & Astronautics
Kyoto University - 2003
B.Eng. - Aeronautics & Astronautics
Kyoto University - 2001
Research Areas
Applications of differential geometry to problems in physics and engineering, particularly those problems described as Hamiltonian dynamical systems in a broad sense. They include semiclassical and quantum dynamics, nonholonomic dynamics, and optimal control theory.
Publications
Symplectic semiclassical wave packet dynamics II: Non-Gaussian states 2018 -
Journal Article
Geometry and dynamics of Gaussian wave packets and their Wigner transforms 2017 -
Journal Article
Optimal Control Problems with Symmetry Breaking Cost Functions 2017 -
Journal Article
A New Phase Space Density for Quantum Expectations 2016 -
Journal Article
Symmetry and conservation laws in semiclassical wave packet dynamics 2015 -
Journal Article
Symmetry and conservation laws in semiclassical wave packet dynamics 2015 -
Journal Article
The Siegel Upper Half Space is a Marsden--Weinstein Quotient: Symplectic Reduction and Gaussian Wave Packets 2015 -
Journal Article
Contact geometry of the Pontryagin maximum principle 2015 -
Journal Article
Contact geometry of the Pontryagin maximum principle 2015 -
Journal Article
Symmetry Reduction of Optimal Control Systems and Principal Connections 2013 -
Journal Article
