Classical and quantum chaos 
Collective dynamics of atomic nuclei: Geometric collective model (GCM), Interacting boson model (IBM) 
(Excitedstate) quantum phase transitions 
Manybody algebraic models: Dicke model, TavisCummings model, Lipkin model, Rabi model, vibrons model 
Nonhermitian extension of the quantum mechanics 

Complex systems in physics, biology and medicine 
Time series analysis, 1/f noise, Detrended fluctuation analysis (DFA), Empirical mode decomposition (EMD) 
Classical and quantum dynamics of simple chaotic systems: double pendulum, extensible pendulum 
Shapes of atomic nuclei 
Optical Dicke model 
Outoftimeordered correlators (OTOC) 


Excitedstate quantum phase transitions 
