Benoit Charbonneau

Education:

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

Academic positions:

Assistant Professor	St. Jerome's University, Department of Mathematics	Since 2010
Cross-appointment	University of Waterloo, Department of Pure Mathematics	Since 2010
Affiliate	Perimeter Institute for Theoretical Physics	Since 2012
Visiting Assistant Professor	Duke University	2004-2007
NSERC Postdoctoral Researcher	McGill University	2005-2007
Postdoctoral Researcherc	McGill University	2004-2005

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

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

Papers

1. Benoit Charbonneau, Patrick Charbonneau, Gilles Tarjus, Geometrical Frustration and Static Correlations in Hard-Sphere Glass Formers, The Journal of Chemical Physics 138, 12A515 (2013) [doi]
2. Benoit Charbonneau and Mark Stern, Asymptotic Hodge Theory of Vector Bundles (Submitted December 2011) [arxiv:1111.0591]
3. Benoit Charbonneau, Patrick Charbonneau, Gilles Tarjus, Geometrical frustration and static correlations in a simple glass former, Phys. Rev. L, vol. 108 (2012) [PhysRevLett.108.035701]  
4. 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 [arxiv:0705.2412]  
5. 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]
6. 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]  
7. J.A. van Meel, B. Charbonneau, A. Fortini, and P. Charbonneau, Hard-sphere crystallization gets rarer with increasing dimension, Phys. Rev. E, vol. 80 (2009), pp. 061110 [PhysRevE.80.061110]  
8. Juli Atherton, Benoit Charbonneau, Xiaojie Zhou, David Wolfson, Lawrence Joseph and Alain C. Vandal, Bayesian optimal design for changepoint problems, Canadian Journal of Statistics, vol. 37 no. 4 (2009), pp. 495-513 [cjs.10037]  
9. Benoit Charbonneau and Jacques Hurtubise, Calorons, Nahm's equations on S^1 and bundles over P^1xP^1, Communications in Mathematical Physics, vol. 280 no. 2 (2008), pp. 315--349, ISSN 0010-3616 [MR2395473], [s00220-008-0468-7]  
10. Charbonneau, Benoit, From spatially periodic instantons to singular monopoles, Communications in Analysis and Geometry, vol. 14 no. 1 (2006), pp. 183--214, ISSN 1019-8385 [MR2230575 (2007c:53036)], [0410561]  

Other work

1. Analytic aspects of periodic instantons, MIT Ph.D. Thesis, written under the supervision of Tomasz Mrowka, 2004.
2. Introduction au théorème de Riemann-Roch, UQAM M.Sc. Thesis, written under the supervision of François Lalonde and Pierre Bouchard, 1999.
3. Various MathSciNet reviews

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.

Current Service

• Series coordinator of the The Bridges lecture series since 2011.
• Organizer of the Waterloo geometry seminar since 2010.
• Organizer of the Waterloo geometry working seminar since 2010.
• Academic advisor at St. Jerome's University since 2010.

Previous Service (since 2010)

• Associate editor of Annales des Sciences Mathématiques du Québec 2009-2013.
• Representative of SJU on the University of Waterloo Faculty of Mathematics Standings and Promotions committee, 2011-2012.
• Member of the St. Jerome's University 150th anniversary committee, 2011-2012.
• Member of the St. Jerome's Committee on Research and Scholarship, 2012.

Conferences organized

• Special session on Differential Geometry, CMS Winter meeting, Toronto, December 2011.
• Annual East Coast Geometry Festival, Duke University, April 25-27, 2008  
• Workshop on non-linear integral transforms: Fourier-Mukai and Nahm, CRM, August 27-31, 2007