Connecting dots -- from local covariance to empirical intrinsic geometry and locally linear embedding

Dispersive estimates, blow-up and failure of Strichartz estimates for the Schrödinger equation with slowly decaying initial data

Quantum transport in a low-density periodic potential: Homogenisation via homogeneous flows.

On the complexity of the inverse Sturm-Liouville problem

A local test for global extrema in the dispersion relation of a periodic graph

Analysis of a fourth order exponential PDE arising from a crystal surface jump process with Metropolis-type transition rates

Quantitative bounds on impedance-to-impedance operators with applications to fast direct solvers for PDEs

Gradient flow structure of a multidimensional nonlinear sixth order quantum-diffusion equation

A Lorentzian analog for Hausdorff dimension and measure

Derivation of the viscoelastic stress in Stokes flows induced by non-spherical Brownian rigid particles through homogenization

Rectification of a deep water model for surface gravity waves

Sparse bounds for the discrete spherical maximal functions

Existence of a non-equilibrium steady state for the non-linear BGK equation on an interval

L^p estimates for Baouendi-Grushin operators

About small eigenvalues of Witten Laplacian

Continuum limit for Laplace and elliptic operators on lattices

Navier--Stokes regularity criteria in sum spaces

Hypocoercivity without confinement

Landau-Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron

Ubiquity of bound states for the strongly coupled polaron

Regular sets and an $\epsilon$-regularity theorem in terms of initial data for the Navier-Stokes equations

Asymptotic behavior for the long-range nonlinear Schrödinger equation on star graph with the Kirchhoff boundary condition

Asymptotic behavior for the long-range nonlinear Schrödinger equation on star graph with the Kirchhoff boundary condition

Boundary triples for a family of degenerate elliptic operators of Keldysh type

Unconditional uniqueness for the Benjamin-Ono equation

Hypocoercivity without confinement

Stationary compressible Navier - Stokes equations with inflow condition in domains with piecewise analytical boundaries

On the analytic singular support for the solutions of a class of degenerate elliptic operators

Emergence of non-trivial minimizers for the three-dimensional Ohta-Kawasaki energy

Stability estimates for the recovery of the nonlinearity from scattering data