Xavier Guitart Morales

Senior lecturer

Knowledge area: Àlgebra

Research group: Seminari de Teoria de Nombres de Barcelona

Contact Information
Department of Mathematics and Computer Science
Gran via de les Corts Catalanes, 585
934021619
xavier.guitart(a)ub.edu

More Information: Personal webpage (http://www.maia.ub.es/~guitart/publications.html)

Academic training

Matemàtiques . Universitat Politècnica de Catalunya . 27/06/2005 . (Diploma / Degree / Activities)

Engineyeria de Telecomunicacions . Universitat Politècnica de Catalunya . 12/09/2005 . (Diploma / Degree / Activities)

Matemàtiques . Universitat Politècnica de Catalunya . 06/09/2010 . (Ph.D.)

Research interests

Teoria de nombres

Relevant publications (Journal Publications and Other publications - last 10 years)

Guitart Morales, Xavier; Masdeu, Marc, 1976- (2013). Continued fractions in $$2$$-stage Euclidean quadratic fields. Mathematics of Computation, 82(282), pp. 1223 - 1233 . Institutional Repository . ISSN: 0025-5718

Guitart Morales, Xavier; Masdeu, Marc, 1976- (2013). Computation of ATR Darmon points on nongeometrically modular elliptic curves. Experimental Mathematics, 22(1), pp. 85 - 98 . Institutional Repository . ISSN: 1058-6458

Guitart, Xavier; Quer, Jordi (2014). Modular abelian varieties over number fields. Canadian Journal of Mathematics-Journal Canadien de Mathematiques . https://doi.org/10.4153/CJM-2012-040-2 . ISSN: 0008-414X

Guitart Morales, Xavier; Rotger, Victor; Zhao, Yu (2014). Almost totally complex points on elliptic curves. Transactions of the American Mathematical Society, 366(5), pp. 2773 - 2802 . Institutional Repository . ISSN: 0002-9947

Guitart Morales, Xavier; Masdeu, Marc (2014). Overconvergent cohomology and quaternionic Darmon points. Journal of the London Mathematical Society-Second Series, 90(2), pp. 495 - 524 . Institutional Repository . ISSN: 0024-6107

Guitart Morales, Xavier; Masdeu, Marc (2015). Elementary matrix decomposition and the computation of Darmon points with higher conductor. Mathematics of Computation, 84(292), pp. 875 - 893 . Institutional Repository . ISSN: 0025-5718

Guitart, X.; Masdeu, M. (2015). A p-adic construction of ATR points on Q-curves. Publicacions Matemàtiques, 59(2), pp. 511 - 545 . Institutional Repository . ISSN: 0214-1493

Guitart Morales, Xavier; Masdeu, Marc, 1976-; Sengun, Mehmet Haluk (2015). Darmon points on elliptic curves over number fields of arbitrary signature. Proceedings of the London Mathematical Society, 111(2), pp. 484 - 518 . Institutional Repository . ISSN: 0024-6115

Fité, F; Guitart, X. (2018). Fields of definition of elliptic k-curves and the realizability of all genus 2 Sato-Tate groups of over a number field. Transactions of the American Mathematical Society, 370(7), pp. 4623 - 4659 . Institutional Repository . ISSN: 0002-9947

Guitart Morales, Xavier; Masdeu, Marc, 1976-; Şengün, Mehmet Haluk (2016). Uniformization of modular elliptic curves via $p$ adic periods. Journal of Algebra, 445, pp. 458 - 502 . Institutional Repository . ISSN: 0021-8693

Guitart, X.; Masdeu, M. (2017). Periods of Modular GL2-type Abelian Varieties and p-adic Integration. Experimental Mathematics, 27(3), pp. 344 - 361 . Institutional Repository . ISSN: 1058-6458