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

Critical branching random walks, branching capacity and branching interlacements

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

Malliavin Calculus and SDEs

Classification of solutions to conformally invariant equations

Existence of concentrated multiscale vortex solutions for 2D Euler and clustered helical solutions for 3D Euler equations

From KP-I Lump Solution to Travelling wave of 3D Gravity Capillary Water wave problem