Eva Miranda

Eva Miranda is a Full Professor of Mathematics at the Universitat Politècnica de Catalunya (UPC), Barcelona, and a Researcher at the Centre de Recerca Matemàtica (CRM). She leads the Geometry, Topology, Algebra, and Applications Group (GEOMVAP) and directs the Laboratory of Geometry and Dynamical Systems. Her research focuses on symplectic and Poisson geometry, with applications to dynamical systems, fluid dynamics, and mathematical physics. Key areas include singular symplectic manifolds, integrable systems, and the interplay between geometry and computation.

• Affiliations:
  • Full Professor at UPC (Department of Mathematics)
  • ICREA Academia Researcher
  • Chercheur Affilié at Observatoire de Paris
  • Member of BGSMath and European Mathematical Society

Her research explores connections between geometry and computational complexity, notably demonstrating Turing universality in 3D Euler flows (a breakthrough resolving a decades-old problem). She also investigates singularities in Hamiltonian systems, symplectic reduction, and Poisson geometry. Her work bridges disciplines like celestial mechanics, fluid dynamics, and computer science.

Notable achievements include the ICREA Academia Prize (2021), Bessel Research Prize (2022), and Hardy Lectureship (2023). She supervises a vibrant team of PhD students and postdocs, fostering interdisciplinary collaborations through networks like SYMCREA and COMPLEXFLUIDS.

Her recent projects include exploring topological Kleene field theories, entropy in Turing-complete systems, and desingularization of Poisson manifolds. She actively promotes women in mathematics and contributes to scientific outreach through lectures and media articles.