Xavier Guitart
Lecturer at UB
Research area: Number Theory
Email: xevi.guitart@gmail.com
PhD in Mathematics obtained at UPC
Biosketch
Current position
Tenure-track 1 lecturer at the University of Barcelona (Sept 2015-Present)
Past positions
Juan de la Cierva postdoctoral research fellow at the Universitat de Barcelona (Dec 2014-Sept 2015)
Postdoctoral fellow at the Institut für Experimentelle Mathematik, Universität Duisburg-Essen (Sept 2013-Nov 2014)
Visiting Researcher at the Max-Planck-Institut für Mathematik, Bonn (Jan-Dec 2012)
Professor Ajudant, Universitat Politècnica de Catalunya (Jul 2010-Aug 2013)
Research lines
- Number Theory and Arithmetic Geometry
- Rational points on elliptic curves
- Stark-Heegner/Darmon points
- Explicit methods in number theory
Selected publications
- Darmon points on elliptic curves over number fields of arbitrary signature. X. Guitart, M. Masdeu, and H. Sengun. Proceedings of the London Mathematical Society 2015; doi: 10.1112/plms/pdv033
- Overconvergent cohomology and quaternionic Darmon points. X. Guitart, M. Masdeu. J. Lond. Math. Soc. (2) 90 (2014), no. 2, 495-524
- Almost totally complex points on elliptic curves. X. Guitart, V. Rotger, and Y. Zhao. Trans. Amer. Math. Soc. 336 (2014), 2773-2802
- Computation of ATR Darmon points on non-geometrically modular elliptic curves. X. Guitart, M. Masdeu. Exp. Math. 22(1): 85-98 (2013)
- Continued fractions in 2-stage euclidean quadratic fields. X. Guitart, M. Masdeu. Math. Comp. Vol. 82, N. 282, April 2013, pp. 1223-1233