Dr. Alex Haro Provinicale

He did his PhD thesis under the supervision of professor Carles Simó (october 1998). Funded by the Fulbright program, he did a postdoctoral stay at the University of Texas at Austin, where he started a fruitful collaboration with professor Rafael de la Llave. He got a permanent position at UB in july 2001. The main scientific achievement is the development of a singularity theory for KAM tori (jointly with Rafael de la Llave and Alejandra González), which involves tools from symplectic geometry and functional analysis, and leads to efficient algorithms of computation. This work has been recognised by professor M. Sevryuk as one of the main achievements in KAM theory during the last decade. He and Rafael de la Llave have also discovered new mechanisms of breakdown of invariant tori. He, M. Canadell, J.-M. Figueras, A. Luque and J.-M. Mondelo, have written a book for the Springer-Verlag series Applied Mathematical Sciences, to appear in 2016, whose title is "The parameterization method for invariant manifolds: from rigorous results to effective computations".

Grup de recerca

- Dynamical Systems Group

Línies de recerca

- Invariant manifolds

- KAM theory

- Sistemes Dinàmics

- Sistemes dinàmics computacionals

Activitats docents

- Equacions diferencials

- Sistemes Dinàmics







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Àrea de Recerca:

Matemàtica Aplicada