- PUBLICATIONS PAGE

- CV (extended)


- WHAT'S NEW:

  • Jointly with Ioannis Parissis, we prove in this preprint (arXiv) a sharp cardinality estimate for the maximal averaging operator along a set of directions on a polynomial variety. Our proof uses polynomial partitioning 
  • My joint article  with S. Guo, C. Thiele and Pavel Zorin-Kranich has been accepted in JFA
  • 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.