2025 Andr茅 Aisenstadt Prize lecture 鈥� Carlo Pagano
罢颈迟濒别:听Reconstructing curves from their set of points as Galois sets
础产蝉迟谤补肠迟:听Mazur-Rubin asked to what extent one can reconstruct a curve C over a number field K from its set of points over bar(K), viewed as a Galois set. They asked the same question specifically about the set of fields where C acquires new points and gave evidence for a positive answer for curves of genus 0. In this talk we will present upcoming work with Zev Klagsbrun where we provide a positive answer for a generic pair of elliptic curves with full 2-torsion over a number field. The method of proof uses the combination of additive combinatorics and descent introduced in joint work of the speaker and Koymans in 2024. I will overview several other recent results obtained, by a number of authors, with that method.
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The Andr茅 Aisenstadt Prize, which recognizes outstanding research achievements in pure or applied mathematics by a young Canadian mathematician, is awarded this year to听Carlo Pagano (Concordia University). His remarkable contributions continue the tradition of excellence that this prize has celebrated since its inception.
Carlo Pagano was born in Italy. He received his PhD in 2018 from Leiden University in the Netherlands, under the supervision of Hendrik Lenstra. After postdoctoral positions at the Max Planck Institute for Mathematics in Bonn and at the University of Glasgow, he joined the department of Mathematics and Statistics at Concordia University in August 2022.
Carlo Pagano of Concordia University, along with co-author Peter Koymans of Utrecht University, has proved several outstanding conjectures in algebraic number theory using a variety of tools from different areas.
Location:听CRM Pavillon Andr茅-Aisenstadt, 6th floor, room 6214