L.E. Dickson Instructor
University of Chicago


I am an L.E. Dickson Instructor at the University of Chicago. My faculty mentor is Carlos Kenig.

Contact Info

Eckhart 220
Department of Mathematics
University of Chicago
5734 S. University Ave
Chicago, Illinois 60637

Here is my cv.

Research Interests
I am interested in the study of nonlinear dispersive equations, particularly in using probabilistic techniques to study the behaviour of dispersive and Hamiltonian PDEs.

PhD in Mathematics 2010-2015, MIT. Advisor: Gigliola Staffilani.

Previous Employment

Member of the Institute for Advanced Study, Spring 2016
Viterbi Endowed Postdoctoral Fellow, MSRI, Fall 2015


The focusing energy-critical nonlinear wave equation with random initial data (with C. Kenig), 2019. Submitted.

Scattering for defocusing energy subcritical nonlinear wave equations (with B. Dodson, A. Lawrie and J. Murphy), 2018. Submitted.

Almost sure local well-posedness and scattering for the 4D cubic nonlinear Schrödinger equation (with B. Dodson and J. Lührmann). Adv. Math. 347 (2019), 619–676.

Almost sure boundedness of iterates for derivative nonlinear wave equations (with S. Chanillo, M. Czubak, A. Nahmod, G. Staffilani), 2017, Submitted.

Almost sure scattering for the 4D energy-critical defocusing NLW equation with radial data (with B. Dodson and J. Lührmann), 2017. To appear in Amer. J. Math.

An infinite sequence of conserved quantities for the cubic Gross-Pitaevskii hierarchy on R (with Nahmod, Pavlović, Staffilani). Trans. Amer. Math. Soc 371 (2019), 5179-5202. Available online.

On the almost sure global well-posedness of energy sub-critical nonlinear wave equations on R^3 (with J. Lührmann). New York J. Math, 22 (2016) 209-227.

Symplectic non-squeezing for the cubic nonlinear Klein-Gordon equation on T^3. J. Funct. Anal. 272 (2017), no. 7, 3019-3092. Available online.

Random data Cauchy theory for nonlinear wave equations of power-type on R^3 (with J. Lührmann). Comm. Partial Differential Equations. 39 (2014), no. 12, 2262-2283.

Rate of convergence for Cardy's Formula (with A. Nachmias and S. S. Watson). Comm. Math. Phys., 329 (2014), no. 1, 29-56.