Xevi Guitart

Publications

Computation of ATR Darmon points on non-geometrically modular elliptic curves (with Marc Masdeu). Submitted. Sage code

Almost totally complex points on elliptic curves (with Victor Rotger and Yu Zhao). Submitted. Sage script used in the example

Continued fractions in 2-stage euclidean quadratic fields (with Marc Masdeu). To appear in Math. Comp. Sage patch implementing the algorithm

Abelian varieties with many endomorphisms and their absolutely simple factors To appear in Rev. Mat. Iberoamericana.

Remarks on strongly modular Jacobian surfaces (with Jordi Quer). Journal de théorie des nombres de Bordeaux, 23 no. 1 (2011), p. 171-182

Fields of definition of building blocks with quaternionic multiplication To appear in Acta Arith.

Modular abelian varieties over number fields (with Jordi Quer). Submitted

On the modularity level of modular abelian varieties over number fields (with Enrique González-Jiménez). J. Number Theory 130, no. 4, 1560-1570 (2010).

Parametrization of abelian K-surfaces with quaternionic multiplication (with Santiago Molina). C. R. Math. Acad. Sci. Paris 347 (2009), no. 23-24, 1325-1330.

Talks

Calculo de puntos ATR de Darmon en curvas elipticas no geometricamente modulares Seminario de teoria de numeros, ICMAT, Madrid, May 2012

Rational points on elliptic curves over almost totally complex quadratic extensions Seminarium z Arytmetycznej Geometrii Algebraicznej, Adam Mickiewicz University, Poznan, November 2011

Rational points on elliptic curves over almost totally complex quadratic extensions Computations with modular forms, Heidelberg, 2011

Computing continued fractions on real quadratic fields Cuartas jornadas de teoría de números, Bilbo, 2011

L-series of building blocks Québec-Vermont Number Theory Seminar, Vermont, 2010

On the modularity level of modular abelian varieties over number fields Conférence de théorie des nombres Québec-Maine 2010

On the modularity level of modular abelian varieties over number fields Arithmetic geometry seminar, Centre de Recerca Matemàtica, Bellaterra (Barcelona) 2010

Modular abelian varieties over number fields 26th Journées Arithmétiques, Saint-étienne, 2009

Variedades abelianas modulares sobre cuerpos de números Terceras jornadas de teoría de números, Salamanca, 2009

Article de Ribet: Abelian varieties over Q and modular forms Seminari de Teoria de Nombres de Barcelona. Articles de Ribet, 2009

Tipus de reduccions de corbes Seminari de Teoria de Nombres de Barcelona. L'algorisme de Liu per a corbes de gènere 2, 2007

Thesis

Arithmetic properties of abelian varieties under Galois conjugation Advisor: Jordi Quer

Slides

Curriculum Vitae

CV (updated 10 May 2012)

Docència

Criptografia (FME)

Equacions diferencials (ETSEIAT)

Sistemes elèctrics de potència (ETSEIAT)

Fonaments d'enginyeria elèctrica (ETSEIAT)