Antonio Lei

Antonio Lei is a Professor in the Department of Mathematics and Statistics at the University of Ottawa, where he has been a faculty member since 2022. Previously, he was a faculty member at Laval University from 2014 to 2022, and completed postdoctoral research at McGill University (2011-2014) under Professor Henri Darmon and at Monash University (2010-2011) under Dr. Daniel Delbourgo. He received his PhD from the University of Cambridge in 2010 under the supervision of Professor Tony Scholl.

Lei's research focuses on Algebraic Number Theory, with particular emphasis on Iwasawa Theory, which studies the behavior of mathematical objects over a series of algebraic domains. His work intersects with Arithmetic Geometry, Non-Archimedean Analysis, and the theory of Elliptic Curves and Modular Forms. He investigates how points on elliptic curves behave when coordinates are allowed to involve increasingly complex roots, using powerful tools like p-adic Hodge Theory to translate complex problems into explicit linear algebra calculations. His research often centers on supersingular cases and anticyclotomic extensions, where traditional methods face significant challenges.

His extensive publication record shows a strong progression from foundational work on p-adic L-functions and Selmer groups to more sophisticated applications involving isogeny graphs, zeta functions, and the interplay between different mathematical structures. Recent work demonstrates increasing focus on computational aspects and connections to graph theory through isogeny graphs.

Lei serves as an Editor-in-Chief of the Canadian Mathematical Bulletin alongside Javad Mashreghi, and is a member of the editorial boards of Annales mathématiques du Québec and the Ramanujan Journal. He has organized numerous conferences and seminars, including the Carleton-Ottawa Number Theory Seminars and sessions at the Canadian Mathematical Society meetings. He actively supervises graduate students and postdoctoral researchers in the Department of Mathematics and Statistics at the University of Ottawa, and encourages potential students to contact him regarding summer internships, master's, PhD, or postdoctoral opportunities.