3 papers
math.NT2026
Special geodesics and atypical intersections
Matteo Tamiozzo
Let be a complex irreducible plane curve that is not the vanishing locus of a modular polynomial. We show that contains finitely many real algebraic curves whose projection…
math.NT2021
Special curves in modular surfaces
Matteo Tamiozzo
We show that geodesics in the upper half-plane attached to a maximal split torus or a real quadratic torus in are the only irreducible algebraic curves whose i…
math.NT2020
The tame Hilbert symbol via K-theory and central extensions
Matteo Tamiozzo
Let be a mixed characteristic local field whose residue field has cardinality , and let be an integer dividing . In the first part of this document we construct a $…