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Samuele Anni

sam_0269.jpg

Samuele Anni

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


Teaching Responsibilities 2015/16:
Term 2: MA426 Elliptic Curves


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(PDF Document) 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 Vladimir Dokchitser, l-Adic Representations and their Associated Invariants, lecture notes (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)

Images of Galois representations, Ph.D. thesis, avaliable at the following link or click here to download (PDF Document).




PhD thesis (PDF Document)(October 2013) supervisors Professor Bas Edixhoven, Universiteit Leiden, and Professor Pierre Parent, Université Bordeaux 1;
Master Thesis (PDF Document) (July 2010) supervisors Professor Luis V. Dieulefait, Universitat de Barcelona, and Professor Alberto Canonaco, Università di Pavia;
Bachelor Thesis (PDF Document) (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 (PDF Document)
Algebra, Geometry and Number Theory Seminar 18/4/16, Universiteit Leiden
Congruence Graphs (PDF Document)
Speed talk at BMC 30/3/16, University of Bristol
The inverse Galois problem and uniform realizations (PDF Document)
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 (PDF Document) STNB 2016 (30th edition) 26/1/16, Universitat de Barcelona
The inverse Galois problem, abelian varieties and uniform realizations (PDF Document) Number theory seminar 1/12/15, University of Copenhagen
On the generalized Fermat equation $x^{2\ell}+y^{2m}=z^p$ (PDF Document) STNB, Barcelona Fall Workshop on NUMBER THEORY 26/11/15, Universitat de Barcelona
Abelian varieties and the inverse Galois problem (PDF Document) 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 (PDF Document) (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 (PDF Document)

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 $x^{2\ell}+y^{2m}=z^p$ (PDF Document) 29th Journées Arithmétiques 06/07/15, Debrecen
Residual modular Galois representations: images and applications (PDF Document) 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 (PDF Document) Algebra and Number Theory Seminar 22/09/14, University College Dublin
Twists and residual modular Galois representations (PDF Document) BUILDING BRIDGES 10/07/14, Bristol
Minimal Models and Integral Models (PDF Document) Algebraic Geometry for Number Theory (TCC) 05/12/13, University of Warwick
Residual modular Galois representations and their images (PDF Document) Number Theory Seminar

02/12/13, University of Warwick

Image of residual modular Galois representations: an algorithm (PDF Document) Sage Days: Algorithms in Arithmetic Geometry 24/07/13, Lorentz Center
A local-global principle for isogenies between elliptic curves over number fields (PDF Document) 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 (PDF Document) 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 (PDF Document) 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


Links