I am an L.E. Dickson RTG Instructor in the mathematics department at the University of Chicago. My faculty mentor is Takis Souganidis. I received my PhD in 2015 from Princeton University under the supervision of Peter Constantin. For a detailed CV, click here.
My research interests lie within analysis and PDE. Specific topics include:
 Hydrodynamics with thermal effects.
 Asymptotic analysis of fluidlike PDE with nonlocal effects.
 Quantifying propagation in reactiondiffusion equations.
 Homogenization for nonlocal evolution equations.
 Dynamics of kinetic equations.
Preprints and Publications:
 Local existence, lower mass bounds, and smoothing for the Landau equation (with C. Henderson and S. Snelson), Journal of the European Mathematical Society, under review; arXiv:1712.07111.
 Front propagation for nonlocal KPP reactiondiffusion equations in periodic media (with P.E. Souganidis), SIAM Journal on Mathematical Analysis, under review; arXiv:1707.00419.
 Improved a priori bounds for thermal fluid equations Transactions of the AMS, 2017, article in press; arXiv:1611.06431.
 Gradient estimates and symmetrization for FisherKPP front propagation with fractional diffusion (with J.M. Roquejoffre) Journal de Mathématiques Pures et Appliquées, 108 (2017) 399—424.
 Long time dynamics of forced critical SQG (with P. Constantin and V. Vicol) Communications in Mathematical Physics, 335 (2015) 93—141.
 Absence of anomalous dissipation of energy in forced two dimensional fluid equations (with P. Constantin and V. Vicol) Archive for Rational Mechanics and Analysis, 212 (2014) 875—903.
 Alternating traps in Muller and parity games (with A. Grinshpun, P. Phalitnonkiat, and S. Rubin) Theoretical Computer Science, 521 (2014) 73—91.
 An Ihara formula for partially directed graphs (with R. Perlis) Linear Algebra and its Applications, 431 (2009) 73—85.
 A Study in the Asymptotic Behavior of Nonlinear Evolution Equations with Nonlocal Operators, PHD thesis, Princeton University (2015).
 Resolving Shocks in Partial Differential Equations through Mesh Adaptation, 2010
SURF Caltech Report.
