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Research Interests for Benoit Charbonneau

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.

Keywords:
Gauge theory, Nahm transform, Periodic Yang-Mills instantons, Gravitational instantons, Calorons, Monopoles, Moduli spaces of vector bundles
Areas of Interest:

Differential geometry
Algebraic geometry
Gauge theory

Recent Publications
  1. J.A. van Meel, B. Charbonneau, A. Fortini, and P. Charbonneau, Hard-sphere crystallization gets rarer with increasing dimension, Phys. Rev. E (Accepted, 2009) [3100[abs]
  2. Juli Atherton, Benoit Charbonneau, Xiaojie Zhou, David Wolfson, Lawrence Joseph and Alain C. Vandal, Bayesian optimal design for changepoint problems, Canadian Journal of Statistics (Accepted, 2009) [cjs.10037[abs]
  3. 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 (2009) [drn067]
  4. Benoit Charbonneau and Jacques Hurtubise, Singular Hermitian-Einstein monopoles on the product of a circle and a Riemann surface (Submitted, January, 2009) [0221]
  5. 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 (Accepted, 2008), Oxford University Press [2412[abs]

 

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Mathematics Department
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