Publications

In Print 

1. (with Chandan Biswas, Emanuel Carneiro, Diogo Oliveira e Silva, Betsy Stovall, and James Tautges) Sharp endpoint extension inequalities for the moment curve on finite fields, International Mathematics Research Notices or on Arxiv1

2. (with Betsy Stovall, 2024) On Extremizing Sequences for Adjoint Fourier Restriction Advances in Mathematics or on Arxiv2. 

3. (with Bennett, Bez, Buschenhenke, and Cowling, 2020) On the nonlinear Brascamp-Lieb inequality Duke or on Arxiv3.

includes the results of the previous:(with Bennett, Bez, and Buschenhenke) The nonlinear Brascamp-Lieb inequality for simple data Arxiv3b.

4. (with Bennett, Bez, Gutierrez, and Iliopoulou, 2018) A sharp k-plane Strichartz Inequality for the Schrodinger equation: Transactions of the AMS or on Arxiv4

5. (with Bennett, Bez, and Lee, 2018) Stability of the Brascamp-Lieb constant and applications American Journal of Mathematics,or on Arxiv5

6. (with Bennett, Bez, and Cowling, 2017 ) Behaviour of the Brascamp--Lieb constant: The Bulletin of the LMS, or on Arxiv6. or as Talk Slides

7. (2016) Uniqueness of extremizers for an endpoint inequality of the k-plane transform: The Journal of Geometric Analysis or Arxiv7

8. (with Christ, 2014) Cases of equality in certain multilinear inequalities of Hardy-Riesz-Rogers-Brascamp-Lieb-Luttinger type: Journal of Functional Analysis or Arxiv8.

9. (with Strichartz, 2012) Laplacians on a family of quadratic Julia sets I: Transactions of the AMS,