Finiteness of reductions of Hecke orbits (joint with Mark Kisin, Yeuk Hay Joshua Lam and Ananth Shankar). To appear in Journal of the European Mathematical Society.
Heights in Diophantine Geometry. Virtual program for advanced undergraduates and junior graduate students worldwide. October 3-November 11, 2022.
Upcoming talks and travel
BATMOBILE, Biannual Algebraic and Tropical Meetings at Brown and Institutions Located in its Environs. Amherst, Massachusetts. September 30, 2022.
Oregon State University, Number theory seminar. Portland, Oregon. October 4, 2022. (virtual)
Topology and Arithmetic over Global Fields. Madison, Wisconsin. October 7, 2022.
Brown University, Algebra seminar. Providence, Rhode Island. October 17, 2022.
Boston University, Number theory seminar. Boston, Massachusetts. October 31, 2022.
Joint Mathematics Meetings 2023. AMS Special Session on Arithmetic Geometry Informed
by Computation, Wednesday, January 4, 5:00 P.M. . Boston, Massachusetts.
Joint Mathematics Meetings 2023. AMS Special Session on Complex and arithmetic dynamical systems, Thursday, January 5, 2:00 P.M. . Boston, Massachusetts.
Joint Mathematics Meetings 2023. AMS Special Session on Arithmetic Statistics, Friday,
January 6, 11:30 A.M. . Boston, Massachusetts.
Joint Mathematics Meetings 2023. AMS Special Session on Excursions in Arithmetic Geometry, Saturday, January 7, 2:30 P.M. . Boston, Massachusetts.
Arithmetic, Geometry, Cryptography and coding Theory (AGCT). Plenary talk, CIRM-Marseille. June 5-9, 2023.
Slides
Towards a unified theory of canonical heights on abelian varieties, Rational Points and Galois Representations, Pittsburg, May 10, 2021. Slides.
The section conjecture at the boundary of moduli space, Joint Mathematics Meetings, AMS Special Session on Algebraic and Arithmetic Geometry, January 9, 2021. Slides.
Finiteness results for reductions of Hecke orbits, Joint Mathematics Meetings, AMS Special Session on Branching Out: Ramification Invariants in Algebra and Geometry, January 8, 2021. Slides.
Computing exceptional primes associated to Galois representations of abelian surfaces, VaNTAGe (a virtual math seminar on open conjectures in
number theory and arithmetic geometry), December 8, 2020. Slides.
An arithmetic count of lines meeting four lines, AMS Special session on Geometry and Topology in Arithmetic, Madison,
September 14, 2019. Slides.
Conductors and minimal discriminants of hyperelliptic curves, Joint Mathematics Meetings, AMS Special session on Number Theory, Arithmetic Geometry and Computation, Baltimore, January 19, 2019. Slides.
Conductors and minimal discriminants of hyperelliptic curves: a comparison in the tame case, Georgia Algebraic Geometry Symposium, Atlanta, February 24, 2018. Slides.