## Samuele Anni

Office: 3/225
Phone: +49 (0)62215414715
Email: samuele dot anni at gmail.com or samuele dot anni at iwr.uni-heidelberg.de

Post-Doc fellowship in the "Computational arithmetic geometry group" led by Prof. Dr. Gebhard Böckle at the Interdisciplinary Center for Scientific Computing (IWR) in Heidelberg, from October 2016.

Post-Doc fellowship at the University of Warwick for the research project LMF: L-functions and Modular Forms from October 2013 to September 2016.

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

with Vladimir Dokchitser, Constructing hyperelliptic curves with surjective Galois representations, preprint (arxiv link)

A note on the minimal level of realization for a mod ℓ 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^{2ℓ}+y^{2m}=z^p, Algebra & Number Theory, 2016, 10 (6), pp. 1147-1172; doi: 10.2140/ant.2016.10.1147 (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 here.

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

Lecturer for MA426 Elliptic Curves, University of Warwick, Spring 2016, lecture notes .

Lecturer for MA426 Elliptic Curves, University of Warwick, Fall 2014.

Lecturer for MA246 Number Theory, University of Warwick, Spring 2014.

### Teaching assistant

Teaching assistant for the course Galois Representations and Diophantine Problems by Mike Bennett and Samir Siksek, in the summer school "Building Bridges'', University of Sarajevo, 11-22 July, 2016.

Teaching assistant for the course ℓ-Adic Representations and their Associated Invariants by Vladimir Dokchitser in the graduate summer school "L-functions and modular forms'', ICTP, Trieste, 1-5 September 2014.

Teaching assistant for the Mastermath course Algebraic Geometry by Bas Edixhoven, in Spring 2011.

### Seminar organization

Organizer of the Number Theory Study group An introduction to deformations of Galois representations at the University of Warwick in Spring 2015.

Organizer of the Number Theory Study group Galois representations at the University of Warwick in the Autumn 2014.

Organizer of a Ph.D. seminar at Universiteit Leiden on étale cohomology.

## Talks

 Jacobians of hyperelliptic curves, inverse Galois problem and Goldbach Workshop on curves of low genus 13/7/17, Universitat Politécnica de Catalunya Congruences, graphs and modular forms FoCM 2017 12/7/17, Universitat de Barcelona Graphs of congruences Workshop on Arithmetic and Computation 2017 16/06/17, KU Leuven Diophantine equations and semistable elliptic curves over totally real fields Journées Algophantiennes Bordelaises 2017 7/06/17, Université de Bordeaux Le problème inverse de Galois et la conjecture de Goldbach Séminaire Arithmétique et Théorie de l'Information 20/4/17, Institut de Mathématiques de Marseille Twists of GL2 type abelian varieties and Galois images for genus 2 BSD Data @ Bristol 28/3/17, University of Bristol Le problème inverse de Galois, courbes hyperelliptiques et la conjecture de Goldbach Séminaire de géometrie et algèbre effective 10/3/17, Université de Rennes 1 Coleman's conjecture Hauptseminar, Surveys on conjectures in number and function field arithmetic 19/1/17, IWR Heidelberg University The Inverse Galois problem and hyperelliptic curves Number Theory seminar and prep talk 15/12/16, Carl von Ossietzky Universität Oldenburg Congruence graphs and newforms Number Theory and Geometry Seminar and prep talk 9/12/16, University of Nottingham Newforms and congruences Heilbronn Seminar 7/12/16, University of Bristol Jacobians and the inverse Galois problem Seminar of the research group "Symmetrie, Geometrie und Arithmetik" 25/11/16, IWR, University of Heidelberg Maeda's conjecture Hauptseminar, Surveys on conjectures in number and function field arithmetic 10/11/16, IWR Heidelberg University Congruence Graphs DFG priority project SPP 1489: Annual conference 13/10/16, Technische Universität Kaiserslautern Constructing hyperelliptic curves with surjective Galois representations Automorphic Forms: theory and computation 6/9/16, King's College London, September 2016 Abelian varieties and the inverse Galois problem Building Bridges 21/7/16, University of Sarajevo Semistable elliptic curves over totally real fields and Diophantine equations CNTA 20/6/16, University of Calgary Abelian varieties and the inverse Galois problem Number theory seminar and prep talk 19/5/16, UCSD, San Diego; 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