collaborators

4 papers

math.DG2026

Strichartz and Spectral Projection Estimates on Asymptotically Conic Manifolds

Zhexing Zhang

We prove the lossless unit interval Strichartz theorem on asymptotically conic surfaces, assuming that a large enough neighborhood of its trapped set has negative curvature. We als…

math.DG2025

Spectral and Schrödinger estimates restricted to submanifolds

Zhexing Zhang

Let be a complete Riemannian manifold with nonpositive sectional curvature and smooth bounded geometry. We prove logarithmic spectral projection estimates restricted to uniform…

math.AG2025

Structure constants of Peterson Schubert calculus

Tao Gui, Yuqi Jia, Xinkai Yu +2

We give an explicit, positive, and type-uniform formula for all equivariant structure constants of the Peterson Schubert calculus in arbitrary Lie types, using only the Cartan matr…

math.AP2025

Lossless Strichartz and spectral projection estimates on unbounded manifolds

Xiaoqi Huang, Christopher D. Sogge, Zhongkai Tao +1

We prove new lossless Strichartz and spectral projection estimates on asymptotically hyperbolic surfaces, and, in particular, on all convex cocompact hyperbolic surfaces. In order…