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I am a differential geometer at the School of Mathematics of the Complutense University of Madrid. University profile here.

I am also a Corresponding Member of the Division of Mathematical Sciences of the Spanish Royal Academy of Sciences (elected in 2023). The entry ceremony was streamed live on January 18, 2024 (Video).

I work primarily on classical and quantum integrable systems, see my papers in Bulletin of the American Mathematical Society 2011 and 2017 for an introduction to my research, including a summary of my work on semitoric systems from the papers in Inventiones Mathematicae 2009 and Acta Mathematica 2011. An introduction to these works is also discussed in the video lecture Symplectic Dynamics of Integrable Hamiltonian Systems at the Institute for Advanced Study in Princeton. My research is supported by the BBVA Foundation with a BBVA-Project.

Contact information is available here. My office at the School of Mathematics is 226A.

Either mathematics is too big for the human mind or the human mind is more than a machine.
K. Godel