I am a scientist in the group of Marco Dentz at IDAEA-CSIC in Barcelona, studying anomalous transport and mixing in heterogeneous media as part of the MHetScale project. I am also a visiting scientist doing research in quantum information and classical transport at ICFO working with the Quantum Optics group of Maciej Lewenstein, and the Single Molecule Biophotonics group of María García-Parajo.

My research is in anomalous transport and reaction in disordered systems. Recently, I worked
on quantum information theory and quantum entanglement, mostly on problems involving classical statistical physics.

Recent projects:

**Transport, mixing, and reactions in heterogeneous media **

I study mathematical models of the mechanisms behind transport, mixing, and reaction in disordered media, with applications
to hydrogeology and flow in living cells. See the MHetScale page. Questions I
try to answer are: under what circumstances does rection (coupled with transport) retain the essential form on the macro- and meso-scale that
it has on the microscopic scale ? When this is not possible, what is the correct mathematical mesoscopic description, and how can we understand this
physically ?

**Anomalous transport in biology**

I am working in a collaboration between the groups of
Maciej Lewenstein
and María García-Parajo
at ICFO. We study anomalous transport of transmembrane receptors in eukaryotic cells.
This is part of the larger question of the origin and functional significance
of subdiffusive motion of subcellular structures, which has become a major focus of
research. We look for answers to questions such as: Is the subdiffusive motion due
to energetic traps, or geometric traps, or both ? What are the scales of inhomogeneity
in the effective matrix that the receptors see, or are there scale-free regimes ?
Current theoretical work on these questions is based on and contributes to
the decades-long quest to understand transport in disordered media.

**Distribution of quantum entanglement on networks**

This work is part of the larger problem of preparing, between distant parties, entangled states that are consumed when performing quantum computational tasks. One begins with quantum systems occupying vertices of a graph which can be, for instance, a regular lattice, or a complex network. The entanglement is encoded in the edges of the graph. Various studies have considered initial states and subsystems that are bipartite, multipartite, pure, or mixed; but the entanglement is always local. The questions then concern manipulating the initial system (using a restricted class of operations) to entangle widely separated nodes. For instance: What is the most efficient protocol for achieving long-range entanglement ? Given a class of networks, is there a minimum entanglement below which long-range entanglement is impossible?