I am currently working at the Department of Mathematics, UC3M. My research lies within the field of mathematical and theoretical physics. In particular, I am interested in the study of classical and quantum aspects of general relativity, and field theory.
CONEX-Plus is funded by UC3M, the European Commission through the Marie-Sklodowska Curie COFUND Action (H2020-MSCA-COFUND-2017- GA 801538).
In this project, we propose to analyze some theoretical issues related to field theories defined on spatial regions with boundary.
These systems are relevant in areas like condensed matter physics, quantum computation, general relativity, and theoretical physics.
The main topics that we want to explore are:
i) The geometric understanding of the so-called boundary degrees of freedom in the classical and quantum context. Examples of theories in which these are supposed to exist, are Chern-Simons, BF, and Maxwell-Chern-Simons models.
ii) In the context of gravitational physics, we have found a rich interplay between the dynamics of the theory in the bulk (Husain-Kuchar model) and the induced one on the boundary (gravitational theories). Both are very interesting by themselves and the fact that they can be so related is a remarkable result. A deep understanding of this kind of interplay is mandatory, in this example and other theories.
During this project I expect to acquire new knowledge in different research areas, such as quantum information theory, percolation theory, statistical mechanics and quantum gravity.