Elena Mantovan
Elena Mantovan
Taussky-Todd-Lonergan Professor of Mathematics
Laurea, University of Padova, 1995; M.A., Harvard University, 1998; Ph.D., 2002. Assistant Professor, Caltech, 2005-10; Associate Professor, 2010; Professor, 2010-23; Taussky-Todd-Lonergan Professor, 2023-; Executive Officer, 2016-19.
Research Interests: Arithmetic algebraic geometry, Shimura varieties, p-automorphic forms, moduli of abelian varieties, moduli of curves, local models, p-divisible groups
Overview
Elena works in Arithmetic Geometry and Number Theory. In particular, her research focuses on the study of moduli of abelian varieties and Barsottti-Tate groups, and on the arithmetic theory of Shimura varieties and their local models. Elena is mainly interested in questions that arise within the framework of the Langlands program, investigating the connection between automorphic forms and Galois representations.
Selected Awards
- Institute for Advanced Studies, von Neumann Fellowship, 2010-2011
Selected Awards
- Institute for Advanced Studies, von Neumann Fellowship, 2010-2011
Leadership
- Executive Officer, Department of Mathematics, Caltech, 2016-2019; 2025-Present
Leadership
- Executive Officer, Department of Mathematics, Caltech, 2016-2019; 2025-Present
Related Courses
Ma 5/105 abc. Introduction to Abstract Algebra.
9 units (3-0-6); first, second, third terms, 2025-26.
Introduction to groups, rings, fields, and modules. The first term is devoted to groups and includes treatments of semidirect products and Sylow's theorem. The second term discusses rings and modules and includes a proof that principal ideal domains have unique factorization and the classification of finitely generated modules over principal ideal domains. The third term covers field theory, Galois theory, and an introduction to character theory for finite groups.
Instructors: Mantovan, Aluffi, Conlon
Instructors: Mantovan, Aluffi, Conlon