I always consider applications for graduate studies from motivated and qualified students. I welcome students with an applied background, but with a sincere desire and substantial ability to do mathematical research. I am less and less interested in applied research these days. Look at my recent papers to see if you think I really am a good fit for you. I welcome applications from anyone who is academically qualified and interested in pursuing work in my area. I will not discriminate with respect to admission in any way, and will welcome everyone to my group who is admitted. If you're prepared to do mathematics, let's go!
David Miyamoto, August 2025-
Adeel Akhtar, January 2019-December 2020 (joint with Steven Waslander)
Robert Kipka, July 2014-June 2016 (joint with Oleg Bogoyavlenskij, Bahman Gharesifard, and Abdol-Reza Mansouri)
Shahla Molahajloo, September 2011-September 2013 (joint with Abdol-Reza Mansouri)
María Barbero-Liñán, September 2009-December 2010
Please see my list of papers for theses when these are available.
Ahmed Shaltut, PhD candidate
Sean Leizerovich, PhD candidate, September 2022-March 2024 (withdrawn)
Kaly Zhang, The exponential map for time-varying vector fields, 2022
Saber Jafarpour, On the role of regularity in mathematical control theory, 2016
Pantelis Isaiah, Feedback stabilisation of locally controllable systems, 2012
César Aguilar, Local controllability of affine distributions, 2010
Bahman Gharesifard, A geometric approach to energy shaping, 2009
Ajit Bhand, Geodesic reduction via frame bundle geometry, 2007
David Tyner, Geometric Jacobian linearisation, 2007
Ahmed Shaltut, Identifying physical trajectories of nonholonomic mechanical systems as constrained variational trajectories, 2020
Scott Kyle, Control of nonholonomic mechanical systems using virtual surfaces, 2019
Julian Christopher, Nonholonomic and constrained variational methods applied to a rolling disc, 2019
Connor Boyd, Nonholonomic and variational equations of motion for mechanical systems, 2018
Jonny Briggs, Degeneracy of velocity constraints in rigid body systems, 2016
Steven Yang, Linearization and stability of nonholonomic mechanical systems, 2015
Melkior Ornik, Some observations on orbits of driftless bilinear systems, 2013
Pantelis Isaiah, Symmetries of differential equations, 2007
Elsa Hansen, Coordinate-free derivation of the Euler-Lagrange equations and identification of global solutions via local behavior, 2004
John Chapman, Problems in nonholonomic mechanics, 2003
Ajit Bhand, Rigid body mechanics in Galilean spacetimes, 2002
David Tyner, Linearization of affine connection control systems, 2002
A. Theo Coombs, Time-optimal control of two simple mechanical systems with three degrees of freedom and two inputs, 2000