Benjamin Dodson

Assistant Professor

Department of Mathematics
Johns Hopkins University
Baltimore, MD 21218
Office: Krieger 214
Phone: (410) 516-7472
Email: dodson@math.jhu.edu
 

Papers: This is a list of research papers that I have completed.

Infrared Photometry of NGC 6791 (with Bruce Carney and Jae - Woo Lee)

Global existence for some radial, low regularity nonlinear Schrodinger equations

Improved almost Morawetz estimates for the cubic nonlinear Schrodinger equation

Global well – posedness for the defocusing, quintic nonlinear Schrodinger equation in one dimension for low regularity data

Global well – posedness and scattering for the defocusing, L2 – critical nonlinear Schrodinger equation when d ≥ 3

Global well – posedness and scattering for the defocusing, cubic nonlinear Schrodinger equation when n = 3 via a linear – nonlinear decomposition

Scattering for the radial 3D cubic wave equation (with Andrew Lawrie)

A controlling norm for energy – critical Schrodinger maps (with Paul Smith)

Global well – posedness and scattering for the mass – critical nonlinear Schrodinger equation with mass below the mass of the ground state

Scattering for radial, semi – linear super – critical wave equations with bounded critical norm (with Andrew Lawrie)

Global well – posedness and scattering for the defocusing, L2 – critical nonlinear Schrodinger equation when d = 1

Global well – posedness and scattering for the defocusing, L2 – critical nonlinear Schrodinger equation when d = 2

The defocusing quintic NLS in four space dimensions (with Changxing Miao, Jason Murphy, and Jiqiang Zheng)

Global well – posedness and scattering for the defocusing, mass – critical generalized KdV equation

 

Teaching

 

Personal