Eva Miranda is a Full professor at UPC, chercheur afflilié at Observatoire de Paris and member of CRM and IMTech. She is director of the Lab of Geometry and Dynamical Systems. She has been recipient of Marie Curie and Juan de la Cierva grants and honorary member at CSIC-ICMAT.  Miranda has been invited professor at U. de Toulouse,  MIT,  U.de Paris 6 and 7, Observatoire de Paris and MSRI. Since 2018 she is member of the Governing Board of BGSMath and since 2020  she is member of the Board of Trustees at Institut Henri Poincaré (Paris) as personnalité extérieure. She has published over 50 articles including  Ann. Sci. Éc. Norm. Supér. (4), Adv. Math., J. Math. Pures Appl. (9) and Comm. Math. Phys. She has supervised 9 Ph.D. theses. In 2017 she was awarded a Chaire d'Excellence of the Fondation Sciences Mathématiques de Paris. Miranda has been plenary speaker in the top workshops in her field. She is invited speaker at the 8th European Congress of Mathematicians.

Research interests

Miranda's research is at the crossroads of Differential Geometry, Mathematical Physics and Dynamical Systems. She works with objects appearing on the interface of Geometry and Physics such as integrable systems and group actions acquainting for symmetries of the systems.  She is particularly interested in building bridges between different areas such as Geometry, Dynamical Systems, Mathematical Physics and, more recently, Fluid Dynamics.

In 2009 with Guillemin she started the study of "b-Poisson" manifolds which model some classical problems in Celestial Mechanics such as the 3-body problem.  Miranda aims at contributing to long-standing problems for these classical systems by combining techniques from different sources such as Symplectic Topology, Dynamics and Poisson Geometry. Among the problems recently tackled by Miranda , we highlight the quantization of b-symplectic manifolds, the singular Weinstein conjecture and the universality and Turing completeness of Euler flows.

Keywords

Differential Geometry, Symplectic Geometry, Poisson Geometry, Hamiltonian Dynamics, integrable systems, moment maps, singularities, normal forms, Beltrami vector field, contact manifold, Reeb vector field