(with A. Zlatos) On discrete models of the Euler equation, pdf ps dvi, IMRN 38 (2005) 2315--2339.

(with F. Nazarov and A. Volberg) Global well-posedness for the critical 2D dissipative quasi-geostrophic equation, pdf ps dvi, Inventiones Math. 167 (2007) 445--453.

(with F. Nazarov and R. Shterenberg) Blow up and regularity for fractal Burgers equation, pdf, ps, Dyn. Partial Differ. Equ. 5 (2008), no. 3, 211--240.

(with F. Nazarov) Global Regularity for the Critical Dispersive Dissipative Surface Quasi-Geostrophic Equation, pdf, ps, preprint.

(with F. Nazarov) A variation on a theme of Caffarelli and Vasseur, pdf, ps, preprint.

Some recent results on the critical surface quasi-geostrophic equation: a review pdf, ps, preprint.

Research partially supported by the NSF grant DMS-0653813