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

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

(with F. Nazarov and R. Shterenberg) Blow up and regularity for fractal Burgers equation, pdf, 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, Nonlinearity 23 (2010), 549--554.

(with F. Nazarov) A variation on a theme of Caffarelli and Vasseur, pdf, Zap. Nauchn. Sem. POMI 370 (2009), 58--72.

Some recent results on the critical surface quasi-geostrophic equation: a review pdf, Hyperbolic problems: theory, numerics and applications, 105--122, Proc. Sympos. Appl. Math., 67, Part 1, AMS, Providence, RI, 2009.

Regularity and blow up for active scalars, pdf, Math. Model. Math. Phenom. 5 (2010), 225--255.

(with F. Nazarov) A simple energy pump for the surface quasi-geostrophic equation, pdf, preprint.

Nonlocal maximum principles for active scalars, pdf, to appear at Advances in Mathematics.

(with M. Dabkowski and V. Vicol) Global well-posedness for a slightly supercritical surface quasi-geostrophic equation, pdf, submitted