Xavier Guitart

Lecturer at UB
Research area: Number Theory

PhD in Mathematics obtained at UPC


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