Dr. Andrea Conti
Postdoc
Biography
Andrea Conti is a postdoctoral researcher in the Arithmetic Geometry group at Heidelberg University. His research focuses on algebraic number theory, with particular interests in Galois representations, arithmetic geometry, and the Langlands program. He has been actively involved in research on modular forms, abelian varieties, and related topics in modern number theory. His work contributes to understanding the deep connections between algebra, geometry, and number theory.
Research Interests
Number theory, algebraic number theory, arithmetic geometry
Publications
Bogomolov property for Galois representations with big local image (2025)
Joint with A. Conti, L. Terracini
arXiv preprint arXiv:2503.14052
The trianguline variety for reductive groups and Zariski density of crystalline points (2024)
Preprint
Lifting Galois representations via Kummer flags (2024)
Joint with A. Conti, C. Demarche, M. Florence
arXiv preprint arXiv:2403.08888
Lattices in rigid analytic representations (2024)
Joint with A. Conti, E. Torti
arXiv preprint arXiv:2403.20232
Local constancy of families of Galois representations modulo prime powers (2023)
Joint with A. Conti, E. Torti
Preprint
Big images of two-dimensional pseudorepresentations (2023)
Joint with A. Conti, J. Lang, A. Medvedovsky
Mathematische Annalen, Vol. 385 (3-4), pp. 1085-1179 (2023), arXiv:1904.10519
Lifting trianguline Galois representations along isogenies (2021)
Andrea Conti
arXiv preprint arXiv:2101.02189
Teaching
Hauptseminar Arithmetik von Zahl- und Funktionenkörpern: Congruence Modules and the Wiles–Lenstra–Diamond Numerical Criterion in Higher Codimension (Winter 2024)
Seminar
Seminar on Commutative Algebra (Winter 2024)
Seminar
Kompatible Systeme von Galoisdarstellungen (Summer 2019)
Lecture
Algebraische Zahlentheorie 2 (Summer 2018)
Lecture
Galois representations and their deformations (Summer 2018)
Lecture