Academic curriculum
I was born in Barcelona on 1981. I graduated with a degree in Chemical Engineering by the Universitat de Politecnica de Catalunya on September 2004 and I got my PhD in Applied Mathematics at Universitat Politecnica de Catalunya (Barcelona) in January 2010 with the thesis "Analytic and numerical tools for the study of quasi-periodic motions in Hamiltonian Systems" under the supervision of Prof. Jordi Villanueva.
I am a member of the UPC Dynamical Systems Group, which is a subset of the UB-UPC Dynamical Systems Group. This is a large group of researchers in Dynamical Systems based in Barcelona, with a wide set of interests.
I am also a member of the DANCE network, which gathers a quite large number of Spanish researchers in Dynamical Systems.
I have been visiting the Chemistry Department at Universidad Autonoma de Madrid under the supervision of Prof. Florentino Borondo (Fall 2007 and Fall 2008). There, I worked in quantum trajectories that appear in the de Broglie-Bohm formulation of Quantum Mechanics.
I have been visiting the Mathematics Department at University of Texas at Austin under the supervision of Prof. Rafael de la Llave (Fall 2009). There, I started to work in renormalization group theory to extend some regularity results of KAM theory till the breakdown.
Contact Information:
Address:
Departament de Matematica Aplicada I.
Universitat Politecnica de Catalunya.
ETSEIB-UPC.
Av. Diagonal num 647, 08028, Barcelona
Spain
Email: alejandro(dot)luque(at)upc(dot)edu
Research interests
My research interests are concerned with KAM theory for Hamiltonian systems and symplectic maps, stability/unstability and numerical methods in Dynamical Systems. In particular, my work is concerned with the computation of frequency vectors and lower dimensional tori.