Francesc d'Assis Planas Vilanova

Francesc d'Assis Planas Vilanova is a Professor in the Department of Mathematics at the Polytechnic University of Catalonia (UPC), affiliated with the Faculty of Mathematics and Statistics. He is a core member of the GEOMVAP research group (Geometry of Varieties and Applications), focusing on Algebraic Geometry, Commutative Algebra, and Combinatorial Algebra. His research emphasizes the interplay between algebraic structures and geometric concepts, with contributions to topics like syzygetic ideals, Noetherian rings, and lattice ideals.

Key publications include studies on Gorenstein syzygetic prime ideals, Jacobian divisors, and Rees algebras. His work bridges theoretical algebra with applications in combinatorial topology and graph theory. He has supervised at least one doctoral student, Ferran Muiños Ballester, whose thesis explores Rees algebras of equimultiple ideals. Planas Vilanova has secured grants through the Spanish and Catalan research agencies, contributing to projects like 'Geometria de Varietats i Aplicacions.' His research spans over three decades, with continuous contributions to algebraic theory and its applications.