# Samuele Anni

## Samuele Anni

Research Fellow

Office: B2.16
Phone: +44 (0)24 76573420
Email: S dot Anni at warwick dot ac dot uk

Teaching Responsibilities 2016/17:
None

Post-Doc fellowship at the University of Warwick for the research project LMF: L-functions and Modular Forms from October 2013.

I was an ALGANT Ph.D. student at Universiteit Leiden and at Université Bordeaux 1, supervisors Professor Bas Edixhoven and Professor Pierre Parent.

I have defended my Ph.D. thesis on October 24th 2013.

## Publications and preprints

A note on the minimal level of realization for a mod $\ell$ eigenvalue system, preprint (arXiv link)

with Pedro Lemos and Samir Siksek, Residual Representations of Semistable Principally Polarized Abelian Varieties, Research in Number Theory 2016, doi:10.1007/s40993-015-0032-4 (arXiv link)

with Samir Siksek, Modular elliptic curves over real abelian fields and the generalized Fermat equation $x^{2\ell}+y^{2m}=z^p$, preprint (arXiv link)

with Samir Siksek, On Serre's uniformity conjecture for semistable elliptic curves over totally real fields, Mathematische Zeitschrift 2015; doi:10.1007/s00209-015-1478-8 (arxiv link)

A local-global principle for isogenies of prime degree over number fields, Journal of the London Mathematical Society 2014; doi: 10.1112/jlms/jdu002 (arXiv link)

PhD thesis (October 2013) supervisors Professor Bas Edixhoven, Universiteit Leiden, and Professor Pierre Parent, Université Bordeaux 1;
Master Thesis  (July 2010) supervisors Professor Luis V. Dieulefait, Universitat de Barcelona, and Professor Alberto Canonaco, Università di Pavia;
Bachelor Thesis  (December 2007) supervisor Professor Paola Frediani, Università di Pavia.

## Teaching

Lecturer for MA426 Elliptic Curves, University of Warwick, Spring 2016. For lecture notes and assignments go to the following link.

Lecturer for MA426 Elliptic Curves, University of Warwick, Fall 2014. For lecture notes and assignments go to the following link.

Lecturer for MA246 Number Theory, University of Warwick, Spring 2014. For notes, tests and exams solutions go to the following link (you need to be logged in).

Teaching assistant for the Mastermath course taught by Professor Bas Edixhoven, Algebraic Geometry - Spring 2011.

## Data

Data collected by Ciaran Schembri on degrees of isogenies of elliptic curves over number fields.

## Talks

 Maeda's conjecture Number theory study group, "Our favourite conjectures" 6/5/16, University of Warwick Diophantine equations and semistable elliptic curves over totally real number fields Algebra, Geometry and Number Theory Seminar 18/4/16, Universiteit Leiden Congruence Graphs Speed talk at BMC 30/3/16, University of Bristol The inverse Galois problem and uniform realizations Séminaire et Groupe de travail Théorie des Nombres 15/3/16, Université Blaise Pascal, Clermont-Ferrand Congruences Number Theory Seminar 1/2/16, University of Warwick Inverse Galois problem and uniform realizations STNB 2016 (30th edition) 26/1/16, Universitat de Barcelona The inverse Galois problem, abelian varieties and uniform realizations Number theory seminar 1/12/15, University of Copenhagen On the generalized Fermat equation $x^{2\ell}+y^{2m}=z^p$ STNB, Barcelona Fall Workshop on NUMBER THEORY 26/11/15, Universitat de Barcelona Abelian varieties and the inverse Galois problem Number Theory Seminar 17/11/15, Johns Hopkins University, Baltimore The generalized Fermat equation $x^{2\ell}+y^{2m}=z^p$ Peer to Peer Seminar 5/10/15, ICERM, Brown University, Providence Genus 3 curves and the inverse Galois problem (link to the video) Modular Forms and Curves of Low Genus: Computational Aspects 29/09/15, ICERM, Brown University, Providence Higher genus curves and the inverse Galois problem Congreso de Jóvenes Investigadores de la RSME 11/09/15, Universidad de Murcia Serre's uniformity conjecture for elliptic curves over totally real number fields Computational Representation Theory in Number Theory 31/07/15, Oregon State University, Corvallis On the generalized Fermat equation $x^{2\ell}+y^{2m}=z^p$ 29th Journées Arithmétiques 06/07/15, Debrecen Residual modular Galois representations: images and applications London Number Theory Seminar 20/05/15, King's College London On Serre's uniformity conjecture for elliptic curves Number Theory Seminar 12/05/15, The university of York Twists and local data of residual modular Galois representations 16/12/14, Universidad de Buenos Aires Residual Galois representations: a database Sheffield Number Theory Seminar 18/11/14, The university of Sheffield On Serre's uniformity conjecture for elliptic curves Heilbronn Seminar 15/10/14, University of Bristol Residual modular Galois representations: an algorithmic approach Algebra and Number Theory Seminar 22/09/14, University College Dublin Twists and residual modular Galois representations BUILDING BRIDGES 10/07/14, Bristol Minimal Models and Integral Models Algebraic Geometry for Number Theory (TCC) 05/12/13, University of Warwick Residual modular Galois representations and their images Number Theory Seminar 02/12/13, University of Warwick Image of residual modular Galois representations: an algorithm Sage Days: Algorithms in Arithmetic Geometry 24/07/13, Lorentz Center A local-global principle for isogenies between elliptic curves over number fields 28th Journées Arithmétiques 04/07/13, Grenoble Modular forms as sections of line bundles Seminar on Modular Forms 23/05/13, Leiden University k-fold differentials Seminar on Modular Forms 05/05/13, Leiden University Images of modular Galois representations mod l Algant meeting 23/02/13, Leiden University Un principe local-global pour isogénies de degrée premier sur les corps de nombres Colloque Jeunes Chercheurs en Théorie des Nombres 14/06/12, Lyon ENS Image of mod l modular Galois representations Algant meeting 18/02/12, Bordeaux IMB Frobenii and Cohomology with compact support Algebraic Geometry Seminar: étale cohomology 14/06/11, Leiden University Images of residual modular Galois representations DIAMANT symposium 27/05/11, Heeze Constructible sheaves and torsion sheaves Algebraic Geometry Seminar: étale cohomology 24/05/11, Leiden University Complex multiplication of elliptic curves II Seminar on Class Field Theory 11/11/10, Leiden University Complex multiplication of elliptic curves I Seminar on Class Field Theory 4/11/10, Leiden University Modular modular Galois representations Algebra Geometry and Number Theory seminar 10/10/10, Leiden University