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Assoc. Professor Thierry Robart, Ph.D.

Education:
Ph. D., Institut de Mathématiques de Luminy, Marseilles

Research Interests: Physics and its mathematical modeling, Infinite dimensional geometry and Lie theory

I am particularly interested in the mathematical foundations of Quantum Mechanics, its algebraic and geometric roots, and its compatibility with the more classical fields of physics. The study of (local) symmetries and their "virtual" interactions playing there a major role, I am mainly focusing on establishing a proper framework for infinite dimensional symmetry groups or pseudogroups.

Selected Publications:

• R. Bourgin, T. Robart, On the invertibility concept of infinite dimensional matrices, Preprint.
• N. Kamran, T. Robart, An Infinite-Dimensional Manifold Structure for Analytic Lie Pseudogroups of Infinite Type, International Mathematics Research Notices 2004, no. 34, p. 1761-1783.
• T. Robart, Abstract Differential Groupoid Ð From Lie Pseudogroups of finite type to infinite ones, African Diaspora Journal of Mathematics, Advances in Mathematics, vol. 1 (2005), Number 1, p.138-154
• T. Robart, On Milnor's regularity and the path functor for the class of infinite dimensional Lie algebras of CBH type, in Algebras, Groups and Geometries, Vol. 21, Number 4, (2004).
• T. Robart, N. Kamran : Sur la theorie locale des pseudogroupes de transformations continus infinis, Mathematische Annalen, 308, p. 593-613 (1997).

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