Research
I am interested in partial differential equations, harmonic analysis, gauge theory and differential geometry.Papers & Presentations:
Stability and Unconditional Uniqueness of Solutions for Energy Critical Wave Equations in High Dimensions, with Aynur Bulut, Dong Li, Nataša Pavlović, Xiaoyi Zhang. Submitted.
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Eventual regularization of the slightly supercritical fractional Burgers
equation, with Chi Hin Chan and Luis Silvestre. Submitted.
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Regularity of solutions for the critical N-dimensional Burgers' equation, with Chi Hin Chan. To appear in Annales de l'Institut Henri Poincare / Analyse non lineaire
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Local wellposedness for the 2+1 dimensional Monopole Equation. To appear in Analysis & PDE. pdf AMS Talk pdf
On the existence of Coulomb gauges, with Karen Uhlenbeck. In preparation.
Well-posedness for the space-time Monopole Equation and Ward Wave Map. Ph.D. Thesis.
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