Répertoire du corps professoral

Centre de recherches mathématiques (CRM)
Programme: Regroupements stratégiques NT
Organisme(s) subventionnaire(s): Université Laval - Fonds internes, Fonds de recherche du Québec - Nature et technologies
Type de financement: Subvention
Établissement tête: Université de Montréal
Du 1 avril 2022 au 31 mars 2028

Iwasawa Theory, Euler Systems and Arithmetic Applications
Programme: Subventions à la découverte – Suppléments d’accélération à la découverte
Organisme(s) subventionnaire(s): Conseil de recherches en sciences naturelles et génie Canada
Type de financement: Subvention
Établissement tête: Université Laval
Du 1 avril 2020 au 31 mars 2025

Encadrements terminés dans les 5 dernières années

Gautier Ponsinet, Doctorat en mathématiques

Anthony Doyon, Maîtrise en mathématiques - avec mémoire

Fenomila Dionah Naivoarilala, Maîtrise en mathématiques - avec mémoire

Jesse Larone, Doctorat en mathématiques

A Arthur Bonkli Razafindrasoanaivolala, Doctorat en mathématiques

David Ayotte, Maîtrise en mathématiques - avec mémoire

Publications des 5 dernières années

Studying Hilbert’s 10th problem via explicit elliptic curves Mathematische Annalen, 2024/12. Debanjana Kundu, Antonio Lei, Florian Sprung. DOI 10.1007/s00208-024-02879-9

On ordinary isogeny graphs with level structures Expositiones Mathematicae, 2024/09. Antonio Lei, Katharina Müller. DOI 10.1016/j.exmath.2024.125589

Lambda-invariants of Mazur–Tate elements attached to Ramanujan’s tau function and congruences with Eisenstein series Research in Number Theory, 2024/06. Anthony Doyon, Antonio Lei. DOI 10.1007/s40993-024-00540-7

On the zeta functions of supersingular isogeny graphs and modular curves Archiv der Mathematik, 2024/03. Antonio Lei, Katharina Müller. DOI 10.1007/s00013-023-01937-z

On the BDP Iwasawa main conjecture for modular forms manuscripta mathematica, 2024/03. Antonio Lei, Luochen Zhao. DOI 10.1007/s00229-023-01485-4

ON THE DISTRIBUTION OF IWASAWA INVARIANTS ASSOCIATED TO MULTIGRAPHS Nagoya Mathematical Journal, 2024/03. CÉDRIC DION, ANTONIO LEI, ANWESH RAY, DANIEL VALLIÈRES. DOI 10.1017/nmj.2023.18

On the Iwasawa invariants of BDP Selmer groups and BDP p-adic L-functions Forum Mathematicum, 2024/01/01. Antonio Lei, Katharina Müller, Jiacheng Xia. DOI 10.1515/forum-2023-0049

A remark on the characteristic elements of anticyclotomic Selmer groups of elliptic curves with complex multiplication at supersingular primes The Quarterly Journal of Mathematics, 2023/12/11. Antonio Lei. DOI 10.1093/qmath/haad028

The non-$$\ell $$-part of the number of spanning trees in abelian $$\ell $$-towers of multigraphs Research in Number Theory, 2023/03. Antonio Lei, Daniel Vallières. DOI 10.1007/s40993-023-00425-1

Iwasawa theory of automorphic representations of $$\textrm{GL}_{2n}$$ at non-ordinary primes Research in the Mathematical Sciences, 2023/03. Antonio Lei, Jishnu Ray. DOI 10.1007/s40687-022-00360-0

Control theorems for fine Selmer groups, and duality of fine Selmer groups attached to modular forms The Ramanujan Journal, 2023/01. Jeffrey Hatley, Debanjana Kundu, Antonio Lei, Jishnu Ray. DOI 10.1007/s11139-022-00560-w

ON FINE SELMER GROUPS AND SIGNED SELMER GROUPS OF ELLIPTIC MODULAR FORMS Bulletin of the Australian Mathematical Society, 2022/06. ANTONIO LEI, MENG FAI LIM. DOI 10.1017/S0004972721000976

Congruences between Ramanujan’s tau function and elliptic curves, and Mazur–Tate elements at additive primes The Ramanujan Journal, 2022/06. Anthony Doyon, Antonio Lei. DOI 10.1007/s11139-021-00397-9

Codimension two cycles in Iwasawa theory and tensor product of Hida families Mathematische Annalen, 2022/06. Antonio Lei, Bharathwaj Palvannan. DOI 10.1007/s00208-020-02072-8

Mordell–Weil ranks and Tate–Shafarevich groups of elliptic curves with mixed-reduction type over cyclotomic extensions International Journal of Number Theory, 2022/03. Antonio Lei, Meng Fai Lim. DOI 10.1142/S1793042122500208

$$\Lambda $$-submodules of finite index of anticyclotomic plus and minus Selmer groups of elliptic curves manuscripta mathematica, 2022/03. Jeffrey Hatley, Antonio Lei, Stefano Vigni. DOI 10.1007/s00229-021-01283-w

On fine Selmer groups and the greatest common divisor of signed and chromatic $p$-adic $L$-functions Proceedings of the American Mathematical Society, 2021/05/13. Antonio Lei, R. Sujatha. DOI 10.1090/proc/15480

Functional equation for p-adic Rankin–Selberg L-functions Annales mathématiques du Québec, 2020/04/30. Kâzım Büyükboduk, Antonio Lei. DOI 10.1007/s40316-019-00117-2

Iwasawa Theory of Elliptic Modular Forms Over Imaginary Quadratic Fields at Non-ordinary Primes International Mathematics Research Notices, 2019/07/08. DOI 10.1093/imrn/rnz117

Iwasawa theory for Rankin-Selberg products ofp-nonordinary eigenforms Algebra & Number Theory, 2019/05/06. DOI 10.2140/ant.2019.13.901

Rank-two Euler systems for symmetric squares Transactions of the American Mathematical Society, 2019. DOI 10.1090/tran/7860

CODIMENSION TWO CYCLES IN IWASAWA THEORY AND ELLIPTIC CURVES WITH SUPERSINGULAR REDUCTION Forum of Mathematics, Sigma, 2019. ANTONIO LEI, BHARATHWAJ PALVANNAN. DOI 10.1017/fms.2019.17

Arithmetic properties of signed Selmer groups at non-ordinary primes Annales de l'Institut Fourier, 2019. DOI 10.5802/aif.3270