PhD in Mathematics from the University of Zaragoza (Spain) specialised in geometry and topology. Her research includes results on knot invariants, geometric structures in three-dimensional manifolds, universal links, and their related topics. She is an emeritus professor of the University of Zaragoza, tenured member of the Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales of Zaragoza, and a corresponding member of the Royal Spanish Academy of Exact, Physical, and Natural Sciences.
The Poincaré conjecture is a topological problem established in 1904 by the French mathematician Henri Poincaré. It characterises three-dimensional spheres in a very simple way. This problem was directly solved between 2002 and 2003 by Grigori Perelman, and as a consequence of his demonstration of the Thurston geometrisation conjecture.