Quantum gravity and noncommutative geometry
Fuzzy spaces and noncommutative geometry, M-theory and matrix models, black holes and wormholes.
Research topics
Algebraic approaches for quantum information
C*-modules and quantum entanglement, quaternionic numbers and quantum decoherence, categorical geometry of open quantum systems.
Spectral analysis of chaos
Quasienergy states of kicked spin systems, Koopman states of CAT maps, qubit systems submitted to chaotic noises, quantum chimera states.
Spectral analysis of dissipative quantum systems
Adiabatic control of photodissociative systems, wave operators and effective Hamiltonians, adiabatic approximations for non-selfadjoint Hamiltonians.
Fibre bundle geometry and geometric phases
Non-abelian or non-unitary geometric phases in quantum dynamics, non-trivial topologies in quantum control, magnetic monopoles.
