### Research

- Quantum nature of black hole entropy: thermodynamics of entanglement
- Vacuum energy and the cosmological constant problem
- Loop quantum gravity and spinfoams:
*structure of the theory* - Diff-invariant degrees of freedom and topological defects
- Quantum geometry and discrete spectra
- The length operator
- Quantum polyhedra
- Polymer physics methods for counting quantum geometries
- Bohr-Sommerfeld spectrum of the volume
- Coherent states and semiclassical limit
- Definition of the spinfoam partition function
- Matter in spinfoams
- Cosmological constant and bounds on the angular resolution
- Loop quantum gravity and spinfoams:
*phenomenological aspects*