Topics: 

• JT, sine-dilaton gravity and SYK

• 3d de Sitter and SYK

• dS Holography

Topics:

• Matrix Integrals

• Replica wormholes

• Gravitational path integrals

• Black hole thermodynamics

Topics:

• Quantum ergodic theory

• Free probability theory

• Scrambling

• Out-of-time ordered correlators (OTOCS), Spectral form factor (SFF), Eigenstate Thermalization Hypothesis (ETH), Krylov complexities

• Open quantum system and non-Hermitian Hamiltonian 

Topics:

• SYK model

• Dicke model

• Graphene