Eva Miranda is a Full Professor at the Universitat Politècnica de Catalunya in Barcelona and a member of the Centre de Recerca Matemàtica and of the Institut Henri Poincaré. She is the founder and director of the Laboratory of Geometry and Dynamical Systems and of the SYMCREA Excellence Hub.

She has been distinguished with two consecutive ICREA Academia Prizes, in 2016 and 2021, and was awarded a Chaire d’Excellence by the Fondation Sciences Mathématiques de Paris in 2017 and a Friedrich Wilhelm Bessel Research Award by the Alexander von Humboldt Foundation in 2022. In the same year, she received the quadrennial François Deruyts Prize, awarded by the Royal Academy of Belgium. She was named the 2023 London Mathematical Society Hardy Lecturer, held the Gauss Professorship of the Göttingen Academy of Sciences in 2025, and was an ETH Zürich Nachdiplom Lecturer in 2025. She is also the recipient of the inaugural Agnes Szántó Medal, conferred by the Society for the Foundations of Computational Mathematics. In 2026, she was elected corresponding member of the Real Academia de Ciencias Exactas, Físicas y Naturales.

Miranda’s research lies at the crossroads of differential geometry, mathematical physics and dynamical systems, with major contributions to symplectic and Poisson geometry, singular geometric structures, celestial mechanics, fluid dynamics and the interface between geometry and computability.

She is an active member of the international mathematical community, serving on several scientific boards, panels and prize committees. She has also created a strong research school, having supervised 13 Ph.D. theses and several postdoctoral researchers.

Her research deals with several aspects of Differential Geometry, Mathematical Physics and Dynamical Systems such as Symplectic and Poisson Geometry, Hamiltonian Dynamics, Group actions and Geometric Quantization. Almost a decade ago she started the investigation of several facets of b-Poisson manifolds (also known as log-symplectic manifolds). These structures appear naturally in physical problems on manifolds with boundary and in Celestial mechanics such as the 3-body problem (and on its restricted versions) after regularization transformations. She recently got interested in Fluid Dynamics and the study of their complexity (computational, topological, logical, dynamical) by looking through a contact mirror unveiled two decades ago by Etnyre and Ghrist. She is currently working in extending Floer homology to a class of Poisson manifolds including b-Poisson manifolds and the classical Weinstein conjecture in this set-up. Her motivation comes from the search of periodic orbits on regularized problems in Celestial Mechanics.

• Differential Geometry
• Symplectic Geometry
• Poisson Geometry
• Contact Geometry
• Mathematical Physics
• Fluid Dynamics
• Dynamical Systems
• Hamiltonian Dynamics
• Quantization

• ICREA Academia 2021
• ICREA Academia 2016
• Co-Principal investigator of the Maria de Maeztu program CEX2020-001084-M
• AEI project Geometría, Álgebra, Topología y Aplicaciones Multidisciplinares code PID2019-103849GB-I00 / AEI / 10.13039/501100011033
• MTM2015-69135-P (MINECO/FEDER)
• 2017SGR932 (AGAUR)
• AFR-Ph.D. project 2016-2019

10 most important publications in the last 10 years. Complete list in this link: https://web.mat.upc.edu/eva.miranda/nova/#PublishedPapers

• 1. R. Cardona, E. Miranda, D. Peralta-Salas and F. Presas, Constructing Turing complete Euler flows in dimension 3. Proc. Natl. Acad. Sci. USA 118 (2021), no. 19, Paper No. e2026818118, 9 pp.
• 2. E. Miranda and C. Oms, The singular Weinstein Conjecture, Adv. Math. 389 (2021), Paper No. 107925, 41 pp.
• 3. V. Guillemin, E. Miranda and J. Weitsman, Jonathan Desingularizing bm-symplectic structures. Int. Math. Res. Not. IMRN 2019, no. 10, 2981–2998.
• 4. V. Guillemin, E. Miranda and J. Weitsman, On geometric quantization of b-symplectic manifolds, Adv.
  Math. 331 (2018), 941–951.
• 5. A. Bolsinov, V. Matveev, E. Miranda and S. Tabachnikov, Open problems, questions and challenges in
  finite-dimensional integrable systems Phil. Trans. Roy. Soc. A, 376 (2018), no. 2131, 20170430, 40pp.
• 6. A. Kiesenhofer and E. Miranda, Cotangent models for integrable systems, Communications in Mathematical Physics, Comm. Math. Phys. 350 (2017), no. 3, 1123–1145.
• 7. A. Kiesenhofer, E. Miranda and G. Scott, Action-angle variables and a KAM theorem for b-Poisson manifolds, J. Math. Pures Appl. (9) 105 (2016), no. 1, 66–85.
• 8. V. Guillemin, E. Miranda, A. Pires and G. Scott, Toric actions on b-manifolds, Int Math Res NoticesIMRN (2015) 2015 (14): 5818–5848.
• 9. V. Guillemin, E. Miranda and A. Pires, Symplectic and Poisson Geometry on b-manifolds, Adv. Math. 264 (2014), 864–896.
• 10. E. Miranda, P. Monnier and N.T. Zung, Rigidity for Hamiltonian actions on Poisson manifolds, Adv. Math. 229 (2012), no. 2, 1136-1179.