- PUBLICATIONS PAGE

- CV (extended)


- WHAT'S NEW:

  • Jointly with Ioannis Parissis, we prove in a sharp cardinality estimate for the maximal averaging operator along a set of directions on a  polynomial manifold. Our proof uses polynomial partitioning and can be extended to more general settings (preprint available upon requesr)


  • My research project "Singular integrals with modulation or rotational symmetries" will be sponsored by the NSF under grant NSF-DMS-1800628 (July 2018-June 2021).
    Graduate students at U Virginia are encouraged to participate and will be supported.


  • In this article, joint with Ioannis Parissis (UPV Bilbao) and to appear in IMRN, we prove the sharp cardinality estimate for the Hilbert transform along finite subsets of a finite order lacunary set in three dimensions.