Benoit Charbonneau, Visiting Assistant Professor

Office Location:
Email Address:
Web Page:	www.math.uwaterloo.ca/~bcharbon

Teaching (Spring 2012):

• PMATH 365, Elementary Differential Geometry

  STJ 3014, MWF 13:30-14:20

Education:

PhD	Massachusetts Institute of Technology	2004
MSc	Université du Québec à Montréal	1999
BSc	Université du Québec à Montréal	1998

Specialties:

Geometry

Research Interests: Gauge theory, more specifically Nahm transforms, Yang-Mills instantons, and their dimensional reductions, and moduli spaces of vector bundles

Please click here for statement of research accomplishments and plans.

Areas of Interest:

Differential geometry
Algebraic geometry
Gauge theory

Keywords:

Gauge theory • Nahm transform • Periodic Yang-Mills instantons • Gravitational instantons • Calorons • Monopoles • Moduli spaces of vector bundles

Recent Publications

1. Benoit Charbonneau, Patrick Charbonneau, Gilles Tarjus, Geometrical frustration and static correlations in a simple glass former, Phys. Rev. L (Accepted, December, 2011) [1108.2492]  [abs]
2. Benoit Charbonneau and Mark Stern, Asymptotic Hodge Theory of Vector Bundles (Submitted, 2011) [1111.0591]
3. Benoit Charbonneau and Jacques Hurtubise, The Nahm transform for calorons, in The many facets of geometry: a tribute to Nigel Hitchin, edited by Jean-Pierre Bourguignon, Oscar Garcia-Prada and Simon Salamon (July, 2010), Oxford University Press, ISBN 978-0-19-953492-0 [2412]  [abs]
4. Benoit Charbonneau and Jacques Hurtubise, Singular Hermitian-Einstein monopoles on the product of a circle and a Riemann surface, International Mathematics Research Notices (April, 2010) [doi]
5. Benoit Charbonneau, Yuriy Svyrydov, and P.F. Tupper, Convergence in the Prokhorov Metric of Weak Methods for Stochastic Differential Equations, IMA Journal of Numerical Analysis, vol. 30 no. 2 (2010), pp. 579-594 [drn067], [doi]  [abs]

Recent Grant Support

• Geometry of vector bundles and moduli spaces of instantons, National Science and Engineering Research Council (NSERC) Discovery Grant, 2011/04-2016/04.      
• A simple perspective on Bond-order invariants, St. Jerome's University Faculty Research Grant, 2011/05-2012/04.      
• Nahm transform of spatially periodic instantons and asymptotic Hodge theory, St. Jerome's Faculty Research Grant, 2011/05-2012/04.      
• Bridge Lecture Series, CMS Endowment, 2011/01-2011/12.      
• Periodic instantons and geometry of vector bundles, St. Jerome's University Faculty Research Grant, 2010/05-2011/04.      

Conferences Organized

• Annual East Coast Geometry Festival, Organizer, April 25-27, 2008  
• Workshop on non-linear integral transforms: Fourier-Mukai and Nahm, Organizer, August 27, 2007 - August 31, 2007