Ada Boralevi

Ada Boralevi is an Associate Professor in the Department of Mathematical Sciences "G. L. Lagrange" (DISMA) at Politecnico di Torino, Italy. She is a prominent researcher in algebraic geometry, specializing in vector bundles, tensor decomposition, determinantal representations, and related algebraic structures. Her work bridges pure mathematics with applications in numerical analysis, mathematical physics, and computational algebra.

• PhD in Mathematics, University of Florence, 2008
• MA in Mathematics, UCLA, 2006
• Laurea in Mathematics, University of Florence, 2004

Her research interests lie at the intersection of algebraic geometry, commutative algebra, and multilinear algebra. She investigates homogeneous vector bundles, secant varieties, constant rank matrices, and tensor decompositions, with a focus on geometric and algebraic properties. Her work often involves moduli spaces, stability conditions, and equivariant constructions. She is particularly known for her contributions to the theory of instanton bundles and determinantal representations.

The analysis of her recent publications reveals a sustained focus on algebraic structures derived from matrices and tensors. Her work spans from foundational algebraic geometry (e.g., sections of homogeneous bundles) to applied topics such as uniform determinantal representations and tensor decomposition. A recurring theme is the interplay between geometry and linear algebra, especially in the context of rank constraints and symmetry. Her collaborations with leading mathematicians highlight her active role in the international research community.

She is actively involved in the mathematical community through service and leadership. She is a member of the European Women in Mathematics and the Unione Matematica Italiana. She has organized numerous conferences and summer schools, including the TAGSS series, which promotes women in mathematics. She has also served on organizing committees for MEGA 2017, Vector Bundles Days, and several workshops on tensors and algebraic geometry.

Ada Boralevi mentors PhD students, including Stefano Canino, and participates in the doctoral college in Pure and Applied Mathematics at Politecnico di Torino. She has secured research contracts with institutions such as SISSA, TU Eindhoven, and IMPAN. Her teaching includes undergraduate courses in linear algebra and geometry, as well as advanced PhD-level topics on spaces of matrices and their applications.

She is a key organizer of algebraic geometry activities in Turin, jointly between Politecnico di Torino and the University of Turin. She co-founded the TAGSS (Trieste Algebraic Geometry Summer School) with Valentina Beorchia and Barbara Fantechi, a series of schools taught by outstanding women mathematicians. Her leadership in these initiatives underscores her commitment to education and gender equity in mathematics.