From topological data analysis to Floer homology and beyond

Carles Casacuberta

Carles Casacuberta is Chair of Geometry and Topology at the Universitat de Barcelona and internationally recognised for his research in homotopy theory, category theory, and their applications to algebra and geometry. He has published extensively on localisation and homological methods, forging important connections between categorical and topological approaches. Casacuberta is a member of the Institut d’Estudis Catalans and served as President of the Societat Catalana de Matemàtiques, reflecting his leadership in the Catalan scientific community. His work has strengthened algebraic topology in Spain, opened bridges towards applications in topological data analysis (TDA), and fostered collaborations with new research communities, both nationally and internationally.

Urs Frauenfelder

Urs Frauenfelder is Professor of Mathematics at the University of Augsburg and internationally recognised for his work in symplectic and contact topology, Floer theory, and Hamiltonian dynamics. His contributions include fundamental advances in symplectic homology, leafwise intersections, and variational methods in geometry and dynamics. Frauenfelder has held academic positions in Switzerland and Korea, building strong bridges between European and Asian communities in symplectic geometry. He is widely regarded as a leading figure in Floer theory and its applications, shaping the field and fostering international collaborations in geometry and dynamical systems.

Eva Miranda

Eva Miranda is Chair of Geometry and Topology and ICREA Academia awardee at the Universitat Politècnica de Catalunya, and Gauss Professor at the Academy of Sciences of Göttingen. She is internationally recognised for her research at the intersection of symplectic and Poisson geometry, dynamical systems, celestial mechanics, and, more recently, computation. She has pioneered the study of singular symplectic and Poisson structures and uncovered undecidability phenomena in fluid dynamics. Miranda has received prestigious international distinctions such as the François Deruyts Prize, an FSMP Chaire d’Excellence, the 2023 Hardy Lectureship, and the Friedrich Wilhelm Bessel Research Award. Her influential work and leadership have shaped modern approaches to symplectic geometry and broadened its applications across mathematics and physics.

Ignasi Mundet i Riera

Ignasi Mundet i Riera is Professor of Geometry and Topology at the Universitat de Barcelona and member of CRM. He is internationally recognized for his research in gauge theory and moduli spaces. He has contributed important results on stability conditions, principal bundles, group actions and the Hitchin–Kobayashi correspondences.He is currently the Director of the Institut de Matemàtiques de la Universitat de Barcelona (IMUB), where he plays a leading role in promoting excellence and internationalisation in mathematics research. His leadership is positioning IMUB as a hub connecting mathematics with new scientific communities and fostering international collaborations.

Leonid Polterovich

Leonid Polterovich is Chair of Mathematics at Tel Aviv University and internationally recognised for his research in symplectic topology, dynamical systems, and functional analysis. He has introduced influential notions such as symplectic quasi-states and Poisson bracket invariants, which have profoundly reshaped the field. Polterovich is the author of several landmark monographs, a member of the Academia Europaea, and a recipient of distinguished honours including the Erdős Prize and the EMS Prize. His scholarship and vision have built new bridges across mathematical disciplines and inspired a global community of researchers in geometry and dynamics.