Juan Margalef Bentabol

at UPC
Research area: Geometry / Mathematical Modelling

PhD in Mathematics obtained at UC3M (2018)

Biosketch

I was born in Madrid where I studied both maths and physics, though I have also enjoyed the universities and daily life of some other awesome places like Vienna, Brussels, Barcelona, or Rio de Janeiro. I did my Ph.D. thesis in mathematical physics under the supervision of Eduardo J.S. Villaseñor (UC3M) and Fernando Barbero (IEM-CSIC), then I was an ERC postodoctoral fellow with Daniel Peralta (ICMAT), and I am now an ICREA postdoctoral fellow with Eva Miranda (UPC).

Research lines

Mathematical physics

Geometrization of field theories

Hamiltonian and Lagrangian formulation of field theories

Symplectic geometry

Dynamical systems

Selected publications

Hamiltonian dynamics of the parametrized electromagnetic field
J. Fernando Barbero, Juan Margalef-Bentabol, Eduardo J.S. Villaseñor,
Classical and Quantum Gravity 33 (2016) 125030 [arXiv:1511.00826]

Topology of the Misner Space and its g-boundary
Juan Margalef-Bentabol, Eduardo J.S. Villaseñor,
General Relativity and Gravitation 46 (2014) 1755 [arXiv:1406.4552]

Quantization of scalar fields coupled to point-masses
J. Fernando Barbero, Benito A. Juárez-Aubry, Juan Margalef-Bentabol, Eduardo J.S.
Villaseñor,
Classical and Quantum Gravity 32 (2015) 245009 [arXiv:1501.05114]

Realization problems for limit cycles of planar polynomial vector fields
Juan Margalef-Bentabol, Daniel Peralta-Salas,
Journal of Differential Equations 260 (2015) 4 [arXiv:1507.00698]

On the distribution of the eigenvalues of the area operator in loop quantum gravity
J. Fernando Barbero, Juan Margalef-Bentabol, Eduardo J.S. Villaseñor,
Classical and Quantum Gravity 35 (2018) 065008 [arXiv:1712.06918]