Incidences and projections: discrete and continuous

Eigenvalue optimization and minimal surfaces

Crouzeix's Conjecture, Blaschke Products, and Numerical Ranges

On the global well-posedness of the Boltzmann hierarchy

Recovery of time-dependent coefficients in hyperbolic equations on Riemannian manifolds from partial data

Mixed norm decoupling for paraboloids

Nodal domain count for eigenfunctions of dumbbell domains

On the Donaldson-Scaduto conjecture

The 2024 UNC PDE Mini-school will feature a series of lectures by Gigliola Staffilani from MIT.  We will have additional complementary...

Gravity water waves with constant vorticity at low regularity and balanced energy estimates

Resonances and transmission for waves in truncated media

Interior Hessian estimates for singularities of the Lagrangian mean curvature flow