Carlo Pagano of Concordia University, currently a visitor at Max Planck Institute for Mathematics in Bonn, has received the 2025 André Aisenstadt Prize [3]. This celebrates the achievements of young Canadians in both pure and applied mathematics.
In joint work with Peter Koymans, he settled Stevenhagen's conjecture on the negative Pell equation, which is a very strong result in arithmetic statistics. Their breakthrough was covered extensively in the Quanta magazine and can be found here [4].
But Peter and Carlo have not stopped there. They switched gears and are now tackling problems concerning decidability, in particular related to the (non-)existence of an algorithm that determines, under certain assumptions, whether a Diophantine equation has a solution. You can read more about this in another Quanta magazine article [5] about their work.
Carlo’s strong ties to MPIM include his two year postdoctoral stay, followed by multiple subsequent visits.
Links:
[1] http://www.mpim-bonn.mpg.de/de/taxonomy/term/44
[2] http://www.mpim-bonn.mpg.de/sites/default/files/Carlo.JPG
[3] https://www.crmath.ca/en/2025/06/05/2025-andre-aisenstadt-prize-awarded-carlo-pagano/
[4] https://www.quantamagazine.org/ancient-equations-offer-new-look-at-number-groups-20220810/
[5] https://www.quantamagazine.org/new-proofs-probe-the-limits-of-mathematical-truth-20250203/