Andrew D. Lewis's Students

Positions available: 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 purely applied work these days. Look at my recent publications (paying particular attention to my recent work) to see if you really think I am a good fit for you.

Here are some links of interest:
[Department graduate studies page] [Apply for graduate studies]

Current students:

  1. Ahmed Shaltut, PhD Candidate

Former students:

  1. Kaly Zhang (Postdoc researcher, Mila (Université de Montréal and McGill University)), PhD, 2022 The exponential map for time-varying vector fields [thesis]
  2. Ahmed Shaltut (PhD student, Queen's University), MSc, 2020, Identifying physical trajectories of nonholonomic mechanical systems as constrained variational trajectories [thesis]
  3. Scott Kyle (Path Planning & Control Lead, Autonomous Vehicle Organization), MASc, 2019, Control of nonholonomic mechanical systems using virtual surfaces [thesis]
  4. Julian Christopher (PhD student, Wilfred Laurier University), MSc, 2019, Nonholonomic and constrained variational methods applied to a rolling disc [thesis]
  5. Connor Boyd (Senior Data Scientist, WiseWithData), MSc, 2018, Nonholonomic and variational equations of motion for mechanical systems
  6. Jonny Briggs (Mechanical Designer at Hepburn Engineering Inc.), MSc, 2016, Degeneracy of velocity constraints in rigid body systems [thesis]
  7. Curtis McDonald (PhD student, Princeton University), NSERC USRA student, summer 2016
  8. Saber Jafarpour (Research Assistant Professor, University of Colorado, Boulder), PhD, 2016, On the role of regularity in mathematical control theory [thesis]
  9. Steven Yang (Researcher, Sunnybrook Research Institute), MSc, 2015, Linearization and stability of nonholonomic mechanical systems [thesis]
  10. Melkior Ornik (Assistant Professor, University of Illinois, Urbana-Champaign), MSc, 2013, Some observations on orbits of driftless bilinear systems [thesis]
  11. Pantelis Isaiah (Senior Quantitative Analyst, BMO Financial Group, 2016)
    1. MSc, 2007, Symmetries of differential equations
    2. PhD, 2012, Feedback stabilisation of locally controllable systems [thesis]
  12. Bennett Kanuka (Founder of Not-so-secret startup), Undergraduate research, summer 2011
  13. César Aguilar (Associate Professor, Department of Mathematics, State University of New York, Genesco, 2016), PhD, 2010, Local controllability of affine distributions [thesis]
  14. Bahman Gharesifard (Professor, Department of Electrical and Computer Engineering, University of California, Los Angeles), PhD, 2009, A geometric approach to energy shaping [thesis] (joint with Abdol-Reza Mansouri)
  15. Brent Pym (Assistant Professor, McGill University), NSERC USRA student, summer 2007
  16. Elsa Hansen (Assistant Research Professor, Department of Biology, The Pennsylvania State University), MSc, 2004, Coordinate-free derivation of the Euler-Lagrange equations and identification of global solutions via local behavior [thesis]
  17. John Chapman (Stipend instructor, University of New Brunswick, Saint John), MSc, 2003, Problems in nonholonomic mechanics
  18. Ajit Bhand (Associate Professor, Department of Mathematics, Indian Institute of Science Education and Research Bhopal, 2010)
    1. MSc, 2002, Rigid body mechanics in Galilean spacetimes [thesis]
    2. PhD, 2007, Geodesic reduction via frame bundle geometry [thesis]
  19. David Tyner (Research Associate, Department of Mechanical and Aerospace Engineering, Carleton University, 2011)
    1. MSc, 2002, Linearization of affine connection control systems [thesis]
    2. PhD, 2007, Geometric Jacobian linearisation [thesis]
  20. A. Theo Coombs (IBM, Peoplesoft Systems Analyst), MSc, 2000, Time-optimal control of two simple mechanical systems with three degrees of freedom and two inputs [thesis]

Andrew D. Lewis (andrew at