Classification of kink clusters for scalar fields in dimension 1+1 (with J. Jendrej);
arxiv preprint, 2024

Continuous in time bubble decomposition for the harmonic map heat flow. (with J. Jendrej and W. Schlag);
Forum Math. Pi, to appear

Dynamics of kink clusters for scalar fields in dimension 1+1. (with J. Jendrej);
preprint 2023.

Bubble decomposition for the harmonic map heat flow in the equivariant case. (with J. Jendrej);
Calc. Var. PDE, to appear.

Soliton resolution for the energy-critical nonlinear wave equation in the radial case. (with J. Jendrej);
Annals of PDE, to appear

Soliton resolution for energy-critical wave maps in the equivariant case. (with J. Jendrej);
J. Amer. Math. Soc. (JAMS), to appear.

Continuous time soliton resolution for two-bubble equivariant wave maps. (with J. Jendrej);
Math. Res. Lett., to appear.

Uniqueness of two-bubble wave maps in high equivariance classes. (with J. Jendrej);
Comm. Pure Appl. Math. (CPAM), to appear.

An asymptotic expansion of two-bubble wave maps in high equivariance classes. (with J. Jendrej);
Analysis & PDE, to appear.

Dynamics of strongly interacting kink-antikink pairs for scalar fields on a line. (with J. Jendrej and M. Kowalczyk);
Duke Math. J., to appear.

Asymptotic stability of harmonic maps on the hyperbolic plane under the Schrödinger maps evolution. (with J. Luhrmann, S.-J. Oh and S. Shahshahani);
Comm. Pure Appl. Math. (CPAM), to appear.

Dynamics of bubbling wave maps with prescribed radiation. (with with J. Jendrej and C. Rodriguez);
Ann. Sci. Éc. Norm. Supér., to appear.

Scattering for defocusing energy subcritical nonlinear wave equations. (with with B. Dodson, D. Mendelson, and J. Murphy);
Analysis & PDE, 13 (2020), no. 7, 1995-2090

Local smoothing estimates for Schrodinger equations on hyperbolic space. (with J. Luhrmann, S.-J. Oh and S. Shahshahani);
Mem. Amer. Math. Soc., to appear.

Two bubble dynamics for threshold solutions to the wave maps equation (with J. Jendrej);
Invent. Math. 213 (2018) no. 3, 1249-1325 link to online version

Conditional stable soliton resolution for a semi-linear Skyrme equation (with C. Rodriguez);
Annals of PDE, 5 (2019), no. 2, Paper No. 15, 59 pp.

The Cauchy problem for wave maps on hyperbolic space in dimensions d ≥ 4. (with S.-J. Oh and S. Shahshahani);
IMRN Vol. 2018, No. 7, 1954-2051

Equivariant wave maps on the hyperbolic plane with large energy (with S.-J. Oh and S. Shahshahani);
Math. Res. Lett. 24 (2017) no. 2, 449-479

A refined threshold theorem for (1+2)-dimensional wave maps into surfaces (with S.-J. Oh);
Comm. Math. Phys. 342 (2016) no. 3, 989-999.

Gap eigenvalues and asymptotic dynamics of geometric wave equations on hyperbolic space (with S.-J. Oh and S. Shahshahani);
J. Funct. Anal. 271 (2016), no. 11, 3111-3161.

Profile decompositions for wave equations on hyperbolic space with applications (with S.-J. Oh and S. Shahshahani);
Math. Ann. 365 (2016), no. 1-2, 707-803.

Stable soliton resolution for exterior wave maps in all equivariance classes. (with C. Kenig, B. Liu, and W. Schlag);
Advances in Math. 285 (2015), 235-300.

Channels of energy for the linear radial wave equation. (with C. Kenig, B. Liu, and W. Schlag);
Advances in Math. 285 (2015), 877-936.

Scattering for radial, semi-linear, super-critical wave equations with bounded critical norm. (with B. Dodson);
Arch. Rational Mech. and Anal. 218 (2015) no. 3, 1459-1529.

Scattering for the radial 3d cubic wave equation. (with B. Dodson);
Analysis & PDE. 8 (2015) no. 2, 467-497.

Stability of stationary equivariant wave maps from the hyperbolic plane. (with S.-J. Oh and S. Shahshahani);
Amer. J. Math. 139 (2017) no. 4, 1085-1147.

Profiles for the radial focusing 4d energy-critical wave equation. (with R. Cote, C. Kenig, and W. Schlag);
Comm. Math. Phys. 357 (2018), no. 3, 943--1008.

Conditional global existence and scattering for a semi-linear Skyrme equation with large data.
Comm. Math. Phys.. 334 (2015) no. 2, 1025-1081.

Relaxation of wave maps exterior to a ball to harmonic maps for all data. (with C. Kenig and W. Schlag);
Geom. Funct. Anal. (GAFA). 24 (2014), no. 2, 610-647.

Characterization of large energy solutions of the equivariant wave maps problem: I. (with R. Cote, C. Kenig, and W. Schlag);
Amer. J. Math. 137 (2015) no. 1, 139-207.

Characterization of large energy solutions of the equivariant wave maps problem: II. (with R. Cote, C. Kenig, and W. Schlag);
Amer. J. Math. 137 (2015) no. 1, 209-250.

Scattering for wave maps exterior to a ball. (with W. Schlag);
Advances in Math. 232 (2013), no. 1, 57-97.

The Cauchy problem for wave maps on a curved background.
Calc. Var. Partial Differential Equations. 45 (2012), no. 3-4, 505-548.