Benoit Charbonneau

University of Waterloo, Department of Pure Mathematics

Perimeter Institute for Theoretical Physics, affiliate

Benoit Charbonneau
Office Location:   MC 5336
Email:
Web Page:  www.math.uwaterloo.ca/~bcharbon

Teaching (Fall 2016):

  • MATH 135, Algebra
Education:

PhDMassachusetts Institute of Technology2004
MScUniversité du Québec à Montréal1999
BScUniversité du Québec à Montréal1998
Academic positions:

Associate Professor University of Waterloo, Department of Pure Mathematics Since 2014
Affiliate Perimeter Institute for Theoretical Physics Since 2012
Assistant Professor St. Jerome's University, Department of Mathematics 2010-2014
Cross-appointment University of Waterloo, Department of Pure Mathematics 2010-2014
Visiting Assistant Professor Duke University2004-2007
NSERC Postdoctoral ResearcherMcGill University2005-2007
Postdoctoral ResearchercMcGill University2004-2005
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 (For the complete list of my arxiv submissions, my public author identifier is http://arxiv.org/a/charbonneau_b_1.)

  1. Benoit Charbonneau and Derek Harland, Deformations of nearly Kähler instantons, Communications in Mathematical Physics, (2016), [doi]
  2. Benoit Charbonneau and Mark Stern, Asymptotic Hodge Theory of Vector Bundles, Communications in Analysis and Geometry vol. 23 no. 3 (2015), pp. 559-609 [doi]
  3. Benoit Charbonneau, Patrick Charbonneau, Yuliang Jin, Giorgio Parisi, Francesco Zamponi, Dimensional dependence of the Stokes–Einstein relation and its violation The Journal of Chemical Physics 139, 164502 (2013) [doi]
  4. 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]
  5. 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]  
  6. 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]  
  7. 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]
  8. 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]  
  9. 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]  
  10. 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]  
  11. 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], [doi]  
  12. 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)], [doi]  

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, 2011/04-2018/04.
  • Analytic and algebraic aspects of periodic instantons, St. Jerome's University Faculty Research Grant, 2012/05-2014/04
  • 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

Previous Service (since 2010)

  • Member of the Waterloo working group on salary anomalies, 2015-2016.
  • Faculty member of the St Jerome's University Board of Governors, 2013-2014.
  • Academic advisor at St. Jerome's University, 2010-2014.
  • 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

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ph: 519-888-4567 x 37336

Department of Pure Mathematics
University of Waterloo
200 University Avenue West
Waterloo,‎ Ontario,‎ N2L 3G1, Canada