Research


Publications and Preprints
  • Sharp Strichartz inequalities for fractional and higher order Schrödinger equations, joint work with Diogo Oliveira e Silva and René Quilodrán. arXiv:1804.11291, submitted.
Theses
Talks
  • Estimates for a \(\bar{\partial}\)-problem,
    Summer School on Unique Continuation and Inverse Problems. Summary, slides
  • Behaviour of the Schrödinger evolution for initial data near \( H^{\frac14} \),
    Summer School on Decoupling and Polynomial Methods in Analysis. Summary, slides
  • Controlling rough paths (part II),
    Summer School on Paraproduct and Analysis of Rough Path. Summary
  • Endpoint Strichartz Estimates. Handout
  • Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations. Handout