Inverse scattering for critical semilinear wave equations

Sharp Weyl laws with singular potentials

A foliated and reversible Finsler manifold is determined by its broken scattering relation

A Lorentzian analog for Hausdorff dimension and measure

On quasilinear Maxwell equations in two dimensions

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

Optimal stability estimates and a new uniqueness result for advection-diffusion equations

Hypocoercivity without confinement

Global results for a Cauchy problem related to biharmonic wave maps

On quasilinear Maxwell equations in two dimensions

Optimal transport and barycenters for dendritic measures

A maximum principle for a fourth order Dirichlet problem on smooth domains

Convergence error estimates at low regularity for time discretizations of KdV

Cusp Universality for Random Matrices II: The Real Symmetric Case

Growth of Sobolev norms for coupled Lowest Landau Level equations

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

The Local Density Approximation in Density Functional Theory

Ubiquity of bound states for the strongly coupled polaron

Optimal stability estimates and a new uniqueness result for advection-diffusion equations

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

An index theorem on asymptotically static spacetimes with compact Cauchy surface

Joint asymptotic expansions for Bessel functions

Global solutions of a surface quasi-geostrophic front equation

An Evolution Equation Approach to the Klein–Gordon Operator on Curved Spacetime

Positivity, complex FIOs, and Toeplitz operators

Dispersive estimates for the wave equation on Riemannian manifolds of bounded curvature

Beyond Bogoliubov dynamics

Multidimensional nonlinear geometric optics for transport operators with applications to stable shock formation

Optimal constants in nontrapping resolvent estimates and applications in numerical analysis

Sharp bounds on Helmholtz impedance-to-impedance maps and application to overlapping domain decomposition

L^p estimates for Baouendi-Grushin operators

On the ground state energies of discrete and semiclassical Schrödinger operators

The transmission problem in linear isotropic elasticity

On the ground state energies of discrete and semiclassical Schrödinger operators

The Dirac bag model in strong magnetic fields

Dispersive stabilization for phase transitions

Remote trajectory tracking of rigid bodies immersed in a 2D perfect incompressible fluid

A maximum principle for a fourth order Dirichlet problem on smooth domains