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Math @ Duke
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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
- 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]
- 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]
- 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]
- Benoit Charbonneau and Jacques Hurtubise, Singular Hermitian-Einstein monopoles on the product of a circle and a Riemann surface
(Submitted, January, 2009) [0221]
- 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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dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
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Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
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