Xavier Gràcia

Biosketch

MSc. in Physics and in Mathematics from Universitat de Barcelona.

PhD. thesis in mathematical physics.

25 articles published in international scientific journals.

Working at UPC since 1988; teaching in the School of Telecommunications Engineering of Barcelona (ETSETB) and the Faculty of Mathematics and Statistics (FME).
Advisor of one PhD thesis and four Master theses.

Research lines

Differential geometry and its applications to mathematical physics.

Selected publications

• X. Gràcia, J. Marín-Solano and M.-C. Muñoz-Lecanda; Some geometric aspects of variational calculus in constrained systems, Rep. Math. Phys. 51 (2003) 127-148
• X. Gràcia and R. Martín; Regularity and symmetries of nonholonomic systems, J. Phys. A: Math. Gen. 38 (2005) 1071-1087
• J.F. Cariñena, X. Gràcia, G. Marmo, E. Martínez, M.-C. Muñoz-Lecanda and N. Román-Roy; Geometric Hamilton-Jacobi theory, Int. J. Geometric Methods in Mod. Phys. 3 (2006) 1417-1458
• X. Gràcia, R. Martín and N. Román-Roy; Constraint algorithm for k-presymplectic hamiltonian systems. Application to singular field theories, Int. J. Geometric Methods in Mod. Phys. 6 (2009) 851-872
• J.F. Cariñena, X. Gràcia, G. Marmo, E. Martínez, M.-C. Muñoz-Lecanda and N. Román-Roy; Geometric Hamilton-Jacobi theory for nonholonomic dynamical systems, Int. J. Geometric Methods in Mod. Phys. 7 (2010)