Welcome
My research deals with geometric structures on 3manifolds. Recently, I have studied collapses of three manifolds, varieties of representations and deformations of structures. My research is partially supported by FEDER/Mineco through grant MTM201234834

Address: Departament de Matemàtiques. Universitat Autònoma de Barcelona. 08193 Bellaterra. SPAIN
Office: C3b/152. Phone: (+34) 935868571. Fax (+34) 935812790
If I were a SpringerVerlag Graduate Text in Mathematics, I would be Frank Warner's Foundations of Differentiable Manifolds and Lie Groups. I give a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. I include differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provide a proof of the de Rham theorem via sheaf cohomology theory, and develop the local theory of elliptic operators culminating in a proof of the Hodge theorem. Those interested in any of the diverse areas of mathematics requiring the notion of a differentiable manifold will find me extremely useful. Which Springer GTM would you be? The Springer GTM Test 