Thomas Hudson
 Thomas HudsonMMath
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Reception/Secretary: +44 1865 273525 Office: RI.1.24 Departmental Address:
Mathematical Institute |
Research Interests:
I am a student of Christoph Ortner and Yves Capdeboscq; my main interest lies in the analysis of solid materials, especially rigorously obtaining macroscale models from microscopic ones. My main focus of interest is in lattice defects, their scaling and properties. I am particularly interested in dislocations, and obtaining a good model to describe their core energy. I am actively involved in Oxford Solid Mechanics, and maintain the website, which may be found here. Prizes, Awards and Scholarships:
Holder of a 4-year Postgraduate PDE Studentship at OxPDE. Meritorious Winner, COMAP Mathematical Contest in Modelling, 2009. Overall Winner, eBourbaki "Bicycles in London" modelling competition, 2008. Postmaster, Merton College, Oxford, 2008. Exhibitioner, Merton College, Oxford, 2007. Major/Recent Publications:
Thomas Hudson and Christoph Ortner. Existence and stability of a screw dislocation under anti-plane deformation. arXiv:1304.2500 Thomas Hudson. Gamma-expansion for a 1D Confined Lennard-Jones model with point defect. To appear in Networks and Heterogeneous Media. arXiv:1203.4121v2 Thomas Hudson and Christoph Ortner. On the stability of Bravais lattices and their Cauchy-Born approximations. M2AN Math. Model. Numer. Anal., 46:81-110, 2012. Teaching:
TA for C6.1a Solid Mechanics, MT 2010, MT 2011. TA for B5b Applied Partial Differential Equations, HT 2011. TA for C5.1b Fixed Point Methods for Partial Differential Equations, HT 2013. |
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