Department of Mathematics and Statistics at the Faculty of Science
University of Calgary
Larry Bates
- Associate Professor
- Applied Mathematics
Office Hours
| Monday | Tuesday | Wednesday | Thursday | Friday | Saturday | Sunday |
|---|---|---|---|---|---|---|
| 1a‑2a (by appt) | 1a‑2a (by appt) | 1a‑2a (by appt) | 1a‑2a (by appt) | 1a‑2a (by appt) | - | - |
Research Interests
- My research interests are in the general areas of global Analysis and Differential Geometry, and more specifically in applications of modern analysis to questions in Hamiltonian mechanics and Differential Geometry
- We are continuing the study of Hamiltonian systems with nonholonomic constraints.
- Reduction theory
Currently Teaching
| F2012 - AMAT 433 - Mathematical Methods in Physics | ||||||||||
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| F2012 - AMAT 605 - Differential Equations III | ||||||||||
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| W2013 - AMAT 309 - Vector Calculus For Engineers | ||||||||||
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| W2013 - AMAT 411 - Differential Equations II | ||||||||||
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Publications
Book
- Cushman, Richard and Bates, Larry. Global aspects of classical integrable systems Birkh\"auser Verlag, 1997. xvi+435.
- Bates, Larry. An exotic symplectic {${\bf R}\sp 4$} Univ. Montr\'eal, 1990. 33-37.
Journal Paper
- Bates, Larry and Cushman, Richard. Complete integrability beyond {L}iouville-{A}rnol\cprime d 56.1 2005. 77-91.
- Bates, Larry, Cushman, Richard and Savev, Emil. The rotation number and the herpolhode angle in {E}uler's top 56.2 2005. 183-191.
- Bates, Larry and Cushman, Richard. Removing the cocycle in a momentum map 5.2 2005. 103-107.
- Bates, Larry. A symmetry completeness criterion for second-order differential equations 132.6 2004. 1785-1786 (electronic).
- Bates, Larry and Cushman, Richard. The odd symplectic group in geometry 17.1 2004. 1-8.
- Bates, Larry. Problems and progress in nonholonomic reduction 49.2-3 2002. 143-149.
- Bates, Larry. A weak counterexample to the {C}arath\'eodory conjecture 15.1 2001. 79-80.
- Bates, Larry and Cushman, Richard. What is a completely integrable nonholonomic dynamical system? 44.1-2 1999. 29-35.
- Bates, Larry. Examples of singular nonholonomic reduction 42.1-2 1998. 231-247.
- Bates, Larry. You can't get there from here 8.3 1998. 273-274.
- Bates, Larry and Lerman, E. . Proper group actions and symplectic stratified spaces 181.2 1997. 201-229.
- Sniatycki, Jedrzej, Schwarz, G and Bates, Larry. Yang-{M}ills and {D}irac fields in a bag, constraints and reduction 176.1 1996. 95-115.
- Bates, Larry, Graumann, Hugo and MacDonnell, Creighton . Examples of gauge conservation laws in nonholonomic systems 37.3 1996. 295-308.
- Cushman, Richard and Bates, Larry. The magnetic spherical pendulum 30.3 1995. 271-289.
- Cushman, Richard, Sniatycki, Jedrzej and Bates, Larry. Geometry of nonholonomic constraints 36.2-3 1995. 275-286.
- Bates, Larry and Sniatycki, Jedrzej. Nonholonomic reduction 32.1 1993. 99-115.
- Bates, Larry and Zou, Maorong . Degeneration of {H}amiltonian monodromy cycles 6.2 1993. 313-335.
- Bates, Larry and Sniatycki, Jedrzej. On the period-energy relation 114.3 1992. 877-878.
- Bates, Larry and Sniatycki, Jedrzej. On action-angle variables 120.4 1992. 337-343.
- Bates, Larry. Monodromy in the champagne bottle 42.6 1991. 837-847.
- Bates, Larry and Peschke, Georg . A remarkable symplectic structure 32.2 1990. 533-538.
- Bates, Larry. An extension of {L}agrange multipliers 36.3-4 1990. 265-268.
- Bates, Larry. Geometric quantization of a perturbed {K}epler problem 28.2 1989. 289-297.
- Bates, Larry. A symplectic rigidity theorem 66.1 1989. 109-111.
- Bates, Larry and Montgomery, Richard . Closed geodesics on the space of stable two-monopoles 118.4 1988. 635-640.
- Bates, Larry. Symmetry preserving deformations of the {K}epler problem 26.3 1988. 413-428.
- Bates, Larry. Examples for obstructions to action-angle coordinates 110.1-2 1988. 27-30.
Preprint
- Bates, Larry. An inequality for planar elastica. April 2004.
Degrees
- 1979 - B.Sc. - Simon Fraser University
- 1984 - M.Sc. - University of Alberta
- 1986 - M.A. - University of California at Santa Cruz
- 1988 - Ph.D. - University of Calgary
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