Rigidity and Lyapunov stability of plane ideal flows

Some recent results of the nonlinear Schrodinger systems

Quantum ergodicity and delocalization on $\mathbb Z^d$

Geometry Conditions On Quasi-Periodic Schrödinger Operators (QPSO)

Anderson localization for quasi-periodic operators on $\mathbb Z^d$ with $C^2$-cosine type and Lipschitz monotone potentials

Space-time joint laws of the KPZ fixed point

Quasi-neutral and quantum many body limits

Singular flows with time evolving weights

Critical branching random walks, branching capacity and branching interlacements

On a new characterization of the incompressible Navier-Stokes equations on Riemannian manifolds