Preprints
A local well-posedness result for the quasilinear wave equation in R^{2+1}
(Ph.D. thesis, Princeton 2002, extended version), Comm. Partial Differential Equations 29 (2004), 323-360 (short version).
An analysis of recursively defined continuous functions
(with Marcello Magno), Proceedings of the UCLEADS Symposium, UCLA (2004).
Dispersive estimates for wave equations with rough coefficients
(with Daniel Tataru), Comm. Partial Differential Equations 30 (2005), 849-880.
Universal microfluidic gradient generator
(with Daniel Irimia and Mehmet Toner), Anal. Chem. 78 (2006), 3472-3477.
A phase space transform adapted to the wave equation
(with Daniel Tataru), Comm. Partial Differential Equations 32 (2007), 1065-1101.
Gradient NLW on curved background in 4+1 dimensions
(with Daniel Tataru), Internat. Math. Res. Notices 2008 (2008), rnn108-58.
A remark on an equation of wave maps type with variable coefficients
, Math. Res. Lett. 16 (2009), 395-404.
A continuity argument for a semilinear Skyrme model
(with Sarada Rajeev), Electron. J. Differential Equations 2010 (2010), No. 86, 1-9.
Nonconcentration of energy for a semilinear Skyrme model
(with Sarada Rajeev), Ann. Physics 325 (2010), 2697-2706.
Global well-posedness and scattering for Skyrme wave maps
(with Kenji Nakanishi and Sarada Rajeev), Commun. Pure Appl. Anal. 11 (2012), 1923-1933.
On the regularity of the 2+1-dimensional equivariant Skyrme model
(with Daniel da Silva), Proc. Amer. Math. Soc. 141 (2013), 2105-2115.
Restricted convolution inequalities, multilinear operators and applications
(with Allan Greenleaf, Alex Iosevich, Eyvindur Palsson, and Eric Sawyer), Math. Res. Lett. 20 (2013), 675-694.
Ill-posedness results for generalized Boussinesq equations
(with A. Alexandrou Himonas and David Karapetyan), Nonlinear Anal. 95 (2014), 404-413.
Sharp global regularity for the 2+1-dimensional equivariant Faddeev model
(with Kenji Nakanishi and Xiang Zhang), Int. Math. Res. Not. 2015 (2015), rnv037-17.
Large data global regularity for the classical equivariant Skyrme model
(with Manoussos G. Grillakis), Discrete Contin. Dyn. Syst. 38 (2018), no. 11, 5537-5576.
Large data global regularity for the 2+1-dimensional equivariant Faddeev model
(with Manoussos G. Grillakis), Differential and Integral Equations 32 (2019), no. 3-4, 169-210.
Almost optimal local well-posedness for improved modified Boussinesq equations
(with Bai Lin), Electron. J. Differential Equations 2020 (2020), No. 24, 1-10.
Improved global well-posedness for defocusing sixth-order Boussinesq equations
(with Evan Witz), Nonlinear Anal. 191 (2020), 1116-1132.
Revisited bilinear Schrodinger estimates with applications to generalized Boussinesq equations
(with Evan Witz), Electron. Res. Arch. 28 (2020), No. 2, 627-649.
Unconditional well-posedness for the Kawahara equation
(with Bai Lin), J. Math. Anal. Appl. 502 (2021), No. 2, 125282.