Eva Miranda (Ph.D. in Mathematics, UB, 2003) is a Full professor at Universitat Politècnica de Catalunya, chercheur afflilié at Observatoire de Paris, Doctor vinculado at ICMAT-CSIC and member of the BGSMath.  As a postdoc, she was a recipient of a Marie Curie EIF contract (U- de Toulouse) and a Juan de la Cierva contract (UAB).  She has been invited professor at U. de Toulouse,  MIT,  U. de Paris 6 and 7, Observatoire de Paris and MSRI. She is the director of the Lab of Geometry and Dynamical Systems. Miranda has published over 40 papers including articles at Annales Scientifiques de l'École Normale Supérieure, Advances in Mathematics, Journal de Mathématiques Pures et Appliquées, Communications in Mathematical Physics and IMRN. She has supervised several Ph.D. theses and postdocs and has been plenary speaker in the top workshops in her field. In 2017 she was awarded a Chaire d'Excellence of the Fondation Sciences Mathématiques de Paris. She has been selected as speaker for the 8ECM.

Research interests

Miranda's research is at the crossroads of Differential Geometry, Mathematical Physics and Dynamical Systems focusing in Symplectic and Poisson Geometry. 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 together with Guillemin (MIT) she started the study of a class of Poisson manifolds called "b-Poisson" 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.

Keywords

Differential Geometry, Symplectic Geometry, Poisson Geometry, Hamiltonian Dynamics, integrable systems, moment maps, singularities, normal forms