معرفی
Matilde Lalín is a Full Professor at the University of Montreal's Department of Mathematics and Statistics, affiliated with the CICMA (Centre Interuniversitaire en Calcul Mathématique Algébrique) and the Montreal Number Theory Group. She holds a Licenciatura in Mathematics from the University of Buenos Aires, pursued graduate studies at Princeton University, and completed her PhD in Number Theory at the University of Texas at Austin under Fernando Rodríguez Villegas. Her research focuses on Mahler measure, L-functions, elliptic curves, and their connections to algebraic geometry and analysis.
Her notable contributions include studies on Mahler measure’s relationship with hyperbolic volumes and L-functions, functional equations in genus-one curves, and statistical properties of zeta functions in function fields. She has been a Clay Mathematics Institute Liftoff Fellow and a PIMS postdoctoral fellow. Her work bridges analytic and algebraic number theory, with applications to arithmetic statistics and geometric structures.
Recent articles highlight advancements in Mahler measure under variable transformations, Northcott properties of zeta functions, and symplectic conjectures in divisor function analysis. Collaborations span international institutions, and she actively organizes conferences like Women in Numbers and analytic number theory symposia. Teaching includes advanced courses on modular forms, algebraic number theory, and elliptic curves.
- Education: PhD (UT Austin), Licenciatura (Buenos Aires)
- Awards: Clay Liftoff Fellowship
- Key Research Themes: Mahler measure, L-functions, elliptic curves, arithmetic statistics
- Professional Roles: Conference organizer, instructor at summer schools, mentor in analytic number theory
