Alexandre Maksoud

Postdoctoral Researcher at University of Luxembourg
Mathematics Research Unit (RMATH)
Team Algebra & Number Theory

Maison du Nombre (MNO), 6th floor, Room 020
e-mail : alexandre.maksoud"at"uni.lu

About me

I work as a postdoc under the supervision of Prof. Dr. Gabor Wiese. Previously, I was a student at the École normale supérieure de Cachan and I recieved my PhD degree from the University of Lille, under the supervision of Prof. Dimitrov.

My area of research is Number Theory. More specifically, I am interested in Iwasawa Theory, which aims at giving an arithmetic interpretation of L-functions and of their p-adic analogues. In my PhD thesis I have formulated and studied a main conjecture for classical weight one modular forms, using tools from both Iwasawa theory of number fields and p-adic variation of (automorphic) motives. Building on these ideas, I proposed a general Iwasawa-theoretic framework describing special values of Artin L-functions. Lately, I am also looking at applications of p-adic transcendence theory to the non-vanishing of p-adic regulators and L-invariants.

I am also co-organizing various Number Theory seminars at the department of Mathematics, as well as a PhD seminar.

Preprints

Théorie d'Iwasawa des motifs d'Artin et des formes modulaires de poids 1. [arXiv] [pdf]
On generalized Iwasawa main conjectures and p-adic Stark conjectures for Artin motives. [arXiv] [pdf]
On Leopoldt's and Gross's defects for Artin representations. [arXiv] [pdf]

Papers

L-invariants of Artin motives. (with Mladen Dimitrov) Ann. Math. du Québec (2022, To appear in a special volume in honour of Bernadette Perrin-Riou)