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Larry Bates

photograph of Larry Bates

Job Title:

  • Associate Professor

Phone:

  • +1 (403) 220-3942

Office:

  • MS 388

Email:

Degrees:

Office Hours:

MTWThFSSu
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

Ph. D. Students:

  • Garth Boucher (2009)
  • Hammouda Ben Mekki (2005)

Masters Students:

  • Kelly Rose (2008)
  • Garth Boucher (2002)

Past Courses:

  • AMAT309 - VECTOR CALCULUS FOR ENGINEERS
  • AMAT311 - DIFFERENTIAL EQUATIONS I
  • AMAT413 - Intro To Partial Diff Equations
  • AMAT415 - MATHEMATICAL METHODS
  • AMAT505 - CALCULUS ON MANIFOLDS
  • AMAT509 - ANALYTICAL DYNAMICS
  • AMAT605 - DIFFERENTIAL EQUATIONS III
  • AMAT621 - Research Seminar
  • AMAT621A - Research Seminar
  • MATH251 - CALCULUS I
  • MATH253 - CALCULUS II
  • MATH331 - MULTIVARIATE CALCULUS
  • MATH349 - CALCULUS III
  • PMAT423 - DIFFERENTIAL GEOMETRY
Representative Publications:
Preprint
Bates, Larry. "An inequality for planar elastica." (April 2004)
Journal Paper
Bates, Larry, Cushman, Richard and Savev, Emil. "The rotation number and the herpolhode angle in {E}uler's top" Zeitschrift f\"ur Angewandte Mathematik und Physik. ZAMP. Journal of Applied Mathematics and Physics. Journal de Math\'ematiques et de Physiques Appliqu\'ees 56.2 (2005): 183-191
Bates, Larry and Cushman, Richard. "Removing the cocycle in a momentum map" JP Journal of Geometry and Topology 5.2 (2005): 103-107
Bates, Larry and Cushman, Richard. "Complete integrability beyond {L}iouville-{A}rnol\cprime d" Rep. Math. Phys. 56.1 (2005): 77-91
Bates, Larry. "A symmetry completeness criterion for second-order differential equations" Proc. Amer. Math. Soc. 132.6 (2004): 1785-1786 (electronic)
Bates, Larry and Cushman, Richard. "The odd symplectic group in geometry" International Journal of Pure and Applied Mathematics 17.1 (2004): 1-8
Bates, Larry. "Problems and progress in nonholonomic reduction" Rep. Math. Phys. 49.2-3 (2002): 143-149
Bates, Larry. "A weak counterexample to the {C}arath\'eodory conjecture" Differential Geometry and its Applications 15.1 (2001): 79-80
Bates, Larry and Cushman, Richard. "What is a completely integrable nonholonomic dynamical system?" Rep. Math. Phys. 44.1-2 (1999): 29-35
Bates, Larry. "You can't get there from here" Differential Geometry and its Applications 8.3 (1998): 273-274
Bates, Larry. "Examples of singular nonholonomic reduction" Rep. Math. Phys. 42.1-2 (1998): 231-247
Bates, Larry and Lerman, E. . "Proper group actions and symplectic stratified spaces" Pacific Journal of Mathematics 181.2 (1997): 201-229
Bates, Larry, Graumann, Hugo and MacDonnell, Creighton . "Examples of gauge conservation laws in nonholonomic systems" Rep. Math. Phys. 37.3 (1996): 295-308
Sniatycki, Jedrzej, Schwarz, G and Bates, Larry. "Yang-{M}ills and {D}irac fields in a bag, constraints and reduction" Comm. Math. Phys. 176.1 (1996): 95-115
Cushman, Richard and Bates, Larry. "The magnetic spherical pendulum" Meccanica. International Journal of the Italian Association of Theoretical and Applied Mechanics 30.3 (1995): 271-289
Cushman, Richard, Kemppainen, David, Sniatycki, Jedrzej and Bates, Larry. "Geometry of nonholonomic constraints" Rep. Math. Phys. 36.2-3 (1995): 275-286
Bates, Larry and Sniatycki, Jedrzej. "Nonholonomic reduction" Rep. Math. Phys. 32.1 (1993): 99-115
Bates, Larry and Zou, Maorong . "Degeneration of {H}amiltonian monodromy cycles" Nonlinearity 6.2 (1993): 313-335
Bates, Larry and Sniatycki, Jedrzej. "On action-angle variables" Archive for Rational Mechanics and Analysis 120.4 (1992): 337-343
Bates, Larry and Sniatycki, Jedrzej. "On the period-energy relation" Proc. Amer. Math. Soc. 114.3 (1992): 877-878
Bates, Larry. "Monodromy in the champagne bottle" Zeitschrift f\"ur Angewandte Mathematik und Physik. ZAMP. Journal of Applied Mathematics and Physics. Journal de Math\'ematiques et de Physique Appliqu\'ees 42.6 (1991): 837-847
Bates, Larry and Peschke, Georg . "A remarkable symplectic structure" Journal of Differential Geometry 32.2 (1990): 533-538
Bates, Larry. "An extension of {L}agrange multipliers" Applicable Analysis. An International Journal 36.3-4 (1990): 265-268
Bates, Larry. "A symplectic rigidity theorem" Manuscripta Mathematica 66.1 (1989): 109-111
Bates, Larry. "Geometric quantization of a perturbed {K}epler problem" Rep. Math. Phys. 28.2 (1989): 289-297
Bates, Larry and Montgomery, Richard . "Closed geodesics on the space of stable two-monopoles" Comm. Math. Phys. 118.4 (1988): 635-640
Bates, Larry. "Symmetry preserving deformations of the {K}epler problem" Rep. Math. Phys. 26.3 (1988): 413-428
Bates, Larry. "Examples for obstructions to action-angle coordinates" Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 110.1-2 (1988): 27-30
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

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