Before being at UPC, I held post-doctoral positions at Penn State University, Fields Insitute (University of Toronto), University of Maryland at College Park, Institute for Advanced Study (Princeton) and Université de Paris 7 - Diderot.
Research Interests
Hamiltonian Systems, Celestial Mechanics, Hamiltonian Partial Differential Equations, Arnol'd diffusion, Exponentially small phenomena.
Here is my CV.
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Research
Preprints
Marcel Guardia, Vadim Kaloshin, Jianlu Zhang
Asymptotic density of collision orbits in the Restricted Circular Planar 3 Body Problem
31 pages. [PDF].
Oriol Castejon, Marcel Guardia, Vadim Kaloshin
Random Iteration of Cylinder Maps and diffusive behavior away from resonances
57 pages. [PDF].
Marcel Guardia, Vadim Kaloshin
Orbits of nearly integrable systems accumulating to KAM tori
115 pages. arXiv.
Oscillatory motions in the restricted three body problem. Winter School in Conservative Dynamics, Engelberg (Switzerland), February 2017.
Lecture 1, Lecture 2, Lecture 3, Lecture 4, Lecture 5.
Growth of Sobolev norms for the cubic defocusing NLS. Ecole d'hiver Dynamics and PDE's , Saint-Etienne de Tineé, February 2013. You can find the slides
here.
Given Talks
Here you will find a selection of slides of presentations in seminars and congresses. Please note that these have not been revised and they may have misprints.
If you are interested in doing an undergraduate or Master thesis in dynamical systems and/or PDEs look at the topics I have proposed in the Intranet or send me an email.
I have supervised the following undergraduate/Master thesis:
Master thesis supervision: Mar Giralt, The Kepler problem with varying masses, co-advised with Tere Seara.
Master thesis supervision: Guillem Sanchis, Interaction between kinks and deffects in nonlinear wave equations, co-advised with Tere Seara.
Master thesis supervision: Francesc Granell, Instabilities in the Arnold model, co-advised with Tere Seara.
Undergraduate thesis supervision: Francesc Granell, Asymptotic Size of Herman Rings
Using Quasiconformal Surgery, co-advised with Pau Martín, 2015-16, Matrícula d'honor 10/10.