398 papers in the wider index
Curvature, geodesics, and Riemannian structure.
We establish a priori estimates guaranteeing smoothness of weak solutions to the three-dimensional Navier–Stokes system on finite time intervals, extending the Ladyzhenskaya framework to time-dependent external forcing.
A bridge between differential forms and the cohomology of projective varieties: we verify the Hodge conjecture for a new class of abelian fourfolds with prescribed endomorphism structure.
We study to what extent the Dirichlet spectrum of a planar domain determines its geometry, constructing the first non-isospectral pairs with six identical leading eigenvalues.
We give a well-posedness theory for the Langevin dynamics of Yang–Mills in temporal gauge, constructing the stochastic quantization measure on the space of distributional connections.