Stefano Morra

E-mail : morra "at" math.univ-paris13.fr

Scientific Interests

• Arithmetic geometry
• p-adic and p-modular Langlands program
• Automorphic forms
• p-adic Hodge theory
• Modular representations of p-adic groups
• p-adic analysis and geometry

Scientific Papers

• Serre weight conjectures for p-adic unitary groups of rank 2 , with Karol Koziol, 62 pages, submitted (2018).


• Multiplicity one at full congruence level , with Dan Le, Benjamin Schraen, 18 pages, submitted (2016).


• Serre weights and Breuil's lattice conjecture in dimension three, with Dan Le, Bao Viet Le Hung, Brandon Levin, 96 pages, submitted (new version March 2019).


• On mod p local-global compatibility for GL3(Qp) in the non-ordinary case, with Dan Le and Chol Park,
  Proceedings of the London Mathematical Society, 117 (2018) 790--848.


• On mod p local-global compatibility for GL3(Qp) in the ordinary case, with F. Herzig and Dan Le,
  Compositio Mathematica 153, (2017), 2215--2286


• Potentially crystalline deformation rings and Serre weight conjectures (Shapes and Shadows), with Dan Le, Bao Viet Le Hung, Brandon Levin
  Inventiones Mathematicae, 212 no. 1, (2018), 1--107


• Potentially crystalline deformation rings in the ordinary case, with Brandon Levin,
  Annales de l'Institut Fourier 66, no. 5 (2016), 1923--1964.


• Serre weights for three dimensional ordinary Galois representations, with Chol Park,
  Journal of the London Mathematical Society 96 no. 2, (2017), 394--424


• Sur les Atomes automorphes de longueur 2 pour GL2(Qp),
  Documenta Mathematica 22 (2017), 777-823


• Iwasawa modules and p-modular representations of GL2,
  Israel Journal of Mathematics 219 Issue 1 (2017), 1–70


• Structure interne des représentations modulo p de SL2(Qp), avec Ramla Abdellatif,
  Manuscripta Mathematica 143, (2014), 191-206.


• Sur la fidelité de certaines représentations de GL2(F) sous une algèbre d'Iwasawa, with Yongquan Hu and Benjamin Schraen,
  Rendiconti del Seminario matematico dell' Università di Padova 131 (2014), 49-65.


• On some representations of the Iwahori subgroup,
  Journal of Number Theory 132 (2012), 1074 - 1150.


• Multiplicity theorems modulo p for GL2(Qp),
  Mathematische Zeitschrift 276 (2014), 421-456.


• Invariant elements for p-modular representations of GL2(Qp),
  Transaction of the American Mathematical Society 365 (2013), 6625-6667.
  (this replace the paper ``Invariant elements under some congruence subgroups for irreducible GL2(Qp) representations over F_p'')


• Explicit description of irreducible GL2(Qp)-representations over F_p,
  Journal of Algebra 339 (2011), 252-303.

• Sur les Atomes automorphes pour GL2(Qp), 2012, 42 pages.
• Study of \Gamma_1(p^k) invariants for supersingular representations of F_p, 2010, 29 pages, alpha version.
• Socle filtration for some modular represetations of GL2(Fp_), 2009, 4 pages, alpha version.
• Invariant elements under some congruence subgroups for irreducible GL2(Qp) representations over F_p, 2009, 38 pages.

Recent advances in the arithmetic of Galois representations

Padova school on Serre conjectures and the p-adic Langlands program

Correspondance de Langlands p-adique, variétés de Shimura et perfectoïdes

The 22nd London-Paris Number Theory Seminar

XXVII Rencontres Arithmétiques de Caen

Galois Representations and Automorphic Forms

KIAS Winter School on the Breuil-Mézard conjecture

Conference on the Local Langlands Conjecture and Galois Representations

HDR

I defended my Habilitation Thesis on December 11, 2017, in Montpellier, in front of a jury formed by I. Badulescu, C. Bonnafé, P. Boyer, C. Breuil, P. Colmez, F. Herzig, A. Mézard, after the reports of C. Breuil, M. Emerton, T. Gee.
Here is the Mémoire.

Thesis

I defended my Ph D thesis on December 9, 2010, in Versailles, in front of a jury formed by C. Breuil, L. Clozel, M. Harris, A, Mézard, V. Paskunas, V. Sécherre. Here the title, and the text of the thesis.
The acknowledgements, according to the philologists, have been resumed from a manuscript of the XVIII century, with a clear influence of the medieval poetry and Petrarch's style, without forgetting the lecture of Dante. I have no idea what to believe. And, my tribute to the Parnassum here and there.

Talk notes

• Multiplicités Galoisiennes, Notes notes from a talk given on Octobre 9, 2008 in the working seminar on the Fontaine-Mazur conjecture.
• Sur certaines déformations non commutatives, d'après Paskunas, Notes notes from a talk given on Septembre 23, 2010 in the working seminar on the image of Colmez's functor.

Teaching

• Academic Years 2015-2018 (Maitre de Conférences à l'Université de Montpellier):
• TD et Cours/TD en Licence (Algèbre linéaire et Analyse, Modèles mathématiques pour la biologie et pour la chimie).
  192 heures par an.
• Academic Years 2013-2015 (Détaché à University of Toronto)
• Academic Years 2011-2013 (Maitre de Conférences à l'Université de Montpellier):
• TD et Cours/TD en Licence (Algèbre linéaire et Analyse, Modèles mathématiques pour la biologie et pour la chimie, Représentations de groupes cristallographiques).
  192 heures par an.
• Academic Years 2008-2011 (Allocataire-Moniteur à l'Université Versailles Saint-Quentin):
• TD et Cours/TD en Licence (e.g. Algèbre, Modèles mathématiques pour la biologie, Mathématiques générales pour les Ingénieurs).
  64 heures par an.