Benoit Charbonneau

University of Waterloo, Department of Pure Mathematics

University of Waterloo, Department of Physics and Astronomy, cross-appointed

Perimeter Institute for Theoretical Physics, affiliate

Benoit Charbonneau
Offices :   MC 5336 (Pure Math office)
Emails:
Web:  www.math.uwaterloo.ca/~bcharbon
Pure Math Department profile
Education:

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

Associate Dean Undergraduate Studies University of Waterloo, Faculty of Mathematics July 2019 to June 2023
Associate Professor University of Waterloo, Department of Pure Mathematics Since 2014
Cross-appointment University of Waterloo, Department of Physics and Astronomy Since 2017
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 University2007-2010
NSERC Postdoctoral ResearcherMcGill University2005-2007
Postdoctoral ResearcherMcGill University2004-2005
Research Interests: Gauge theory: Yang-Mills instantons (ASD, G2, Nearly-Kahler), their dimensional reductions (in particular monopoles), and moduli space problems. Glass transition.
Areas of Interest:

Differential geometry
Algebraic geometry
Gauge theory

Keywords:

Gauge theory • Yang-Mills instantons • Nahm transform • Gravitational instantons • Calorons • Monopoles • Nearly-Kahler instantons • Moduli spaces • Glass transition

Papers (For the complete list of my arxiv submissions, my public author identifier is http://arxiv.org/a/charbonneau_b_1.)

  1. Benoit Charbonneau, Ákos Nagy, On the construction of monopoles with arbitrary symmetry breaking (2022) [arXiv:2205.15246]
  2. Benoit Charbonneau, Anuk Dayaprema, C. J. Lang, Ákos Nagy, and Haoyang Yu, Construction of Nahm data and BPS monopoles with continuous symmetries Journal of Mathematical Physics, 63, Issue 1, 013507 (Editor's Pick) (2022) [doi]
  3. Benoit Charbonneau, Patrick Charbonneau, Yi Hu, and Zhen Yang, High-dimensional percolation criticality and hints of mean-field-like caging of the random Lorentz gas, Phys. Rev. E 104, 024137 (2021) [doi]
  4. Sepehr Rashidi, C.G. Hewitt, and Benoit Charbonneau, Dynamical Equilibrium States of a Class of Irrotational Non-Orthogonally Transitive G2 Cosmologies II: Models With One Hypersurface-Orthogonal Killing Vector Field, Classical and Quantum Gravity 58 155013 (2021) [doi]
  5. Benoit Charbonneau and Spencer Whitehead, Studying Wythoff and Zometool Constructions Using Maple. In: Gerhard J., Kotsireas I. (eds) Maple in Mathematics Education and Research. MC 2019. Communications in Computer and Information Science, vol 1125, pp 65-76 Springer (2020) [doi]
  6. Benoit Charbonneau and Jacques Hurtubise, Spatially periodic instantons: Nahm transform and moduli, Communications in Mathematical Physics, Communications in Mathematical Physics, 365, pp. 255–293 (2019) [doi SharedIt]
  7. Benoit Charbonneau, Patrick Charbonneau, Grzegorz Szamel, A Microscopic Model of the Stokes-Einstein Relation in Arbitrary Dimension, Journal of Chemical Physics 148, 224503 (2018) [doi]
  8. Benoit Charbonneau and Derek Harland, Deformations of nearly Kähler instantons, Communications in Mathematical Physics, (2016), [doi]
  9. 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]
  10. 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]
  11. 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]
  12. 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]  
  13. 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]  
  14. 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]
  15. 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]  
  16. 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]  
  17. 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]  
  18. 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]  
  19. 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
PhD Students (and first job after graduation)

Recent Grant Support

  • Gauge theoretic moduli spaces, National Science and Engineering Research Council (NSERC) Discovery Grant, 2019/04-2024/04.
  • Geometry of vector bundles and moduli spaces of instantons, National Science and Engineering Research Council (NSERC) Discovery Grant, 2011/04-2019/04.
  • Bridges Lectures Series, Fields Institute outreach grants, 2016-2017, 2017-2018, 2019-2020
  • Bridge Lecture Series, CMS Endowment, 2011/01-2011/12.
Current Service

Previous Service (since 2010)

  • Associate Dean Undergraduate Studies, Faculty of Mathematics, 2019-2023
  • Salary chief negotiator for FAUW, 2017-2020.
  • Member of the Faculty of Mathematics Strategic Plan Working Group: Outreach Implementation, Fall 2018.
  • Member of the Faculty of Mathematics Student Appeals Committee, 2017-2019
  • Member of the Pure Mathematics Department Awards committee, 2018-2019.
  • Co-chair of the University of Waterloo working group on salary structure, 2018.
  • Member of the Pure Mathematics Department undergraduate committee, 2014-2017.
  • Member of the Waterloo working group on salary anomalies, 2015-2016.
  • Leader of the UW Faculty of Mathematics RFP on electronically assisted marking, 2015.
  • Coordinator of the UW Faculty of Mathematics Pilot on the use of electronically facilitated marking, 2014-2015.
  • 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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