Area of research
Mathematical Physics · Statistical and Nonlinear Physics
Research interest
Research interests include Advanced Mathematical Physics Problems, Spectral Theory in Mathematical Physics, Nonlinear Waves and Solitons, and Nonlinear Photonic Systems.
Hölder continuity of the integrated density of states for Liouville frequencies
An introduction to the distorted Fourier transform
Correction to: On Localization and the Spectrum of Multi-frequency Quasi-periodic Operators
On Localization and the Spectrum of Multi-frequency Quasi-periodic Operators
An introduction to multiscale techniques in the theory of Anderson localization, Part I
On pointwise decay of waves
Profiles for the Radial Focusing 4d Energy-Critical Wave Equation
Characterization of large energy solutions of the equivariant wave map problem: II
Center-stable manifold of the ground state in the energy space for the critical wave equation
Relaxation of Wave Maps Exterior to a Ball to Harmonic Maps for All Data
Threshold Phenomenon for the Quintic Wave Equation in Three Dimensions
Classical and Multilinear Harmonic Analysis
Full range of blow up exponents for the quintic wave equation in three dimensions
Energy partition for the linear radial wave equation
Concentration Compactness for Critical Wave Maps
Global dynamics of the nonradial energy-critical wave equation above the ground state energy
Dynamics of Nonlinear and Disordered Systems
Spectral Theory and Nonlinear Waves
Global Dynamics of Nonlinear Dispersive Evolution Equations and Spectral Theory
Global Dynamics of Nonlinear Dispersive Evolution Equations and Spectral Theory
Long-Term Dynamics of Nonlinear Evolution Partial Differential Equations
Long-Term Dynamics of Nonlinear Evolution Partial Differential Equations
Global dynamics for nonlinear dispersive equations
Harmonic Analysis, Mathematical Physics, and Nonlinear PDE
Harmonic Analysis with Applications to Mathematical Physics
Harmonic Analysis with Applications to Mathematical Physics
Nonperturbative methods for quasiperiodic discrete Schroedinger equations on the line
Nonperturbative methods for quasiperiodic discrete Schroedinger equations on the line