# 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.
##### Talks
• 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