Eva Miranda is a Full Professor at UPC and a member of CRM. She is the director of the Lab of Geometry and Dynamical Systems and group leader of the Geometry group at UPC. Distinguished with two ICREA Academia Prizes in 2016 and 2021, she was awarded a Chaire d'Excellence de la Fondation Sciences Mathématiques de Paris in 2017 and a Bessel Prize in 2022. She has also been the recipient of the 29 François Deruyts Prize, a quadrennial prize conferred by the Royal Academy of Belgium, in 2022. She has been recently named the 2023 Hardy Lecturer by the London Mathematical Society.

Miranda has been speaker at top international conferences like the European Congress of Mathematicians. She created an important school by supervising 9 PhD theses.  She has been chercheur affiliée at Observatoire de Paris and honorary doctor at CSIC. She is member of the scientific committee at the RSME and a member of the Conseil d'Administration de l'Institut Henri Poincaré in Paris.

Research interests

Miranda's research is at the crossroad of Differential Geometry, Mathematical Physics and Dynamical Systems. More recently, she added to her research agenda some mathematical aspects of theoretical computer science in connection to Fluid Dynamics.

Almost a decade ago she pioneered the investigation of b-Poisson manifolds. These structures appear naturally in physical systems on manifolds with boundary and on problems on Celestial mechanics such as the 3-body problem.

In 2021 she constructed a Turing complete 3D Euler flow. This result not only proves the existence of undecidable paths in hydrodynamics but also closes an open question in the field of computer science (the existence of "fluid computers").

Miranda's research strives to decipher the several levels of complexity in Geometry and Fluid Dynamics. She endeavours to extend Floer homology and the singular Weinstein conjecture to the singular set-up motivated by the search of periodic orbits in Celestial Mechanics.

Keywords

Differential Geometry, Symplectic Geometry, Poisson Geometry, Hamiltonian Dynamics, Contact Geometry, Fluid Dynamics