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I am currently a Ph.D. student under the supervision of Malabika Pramanik.
My research, generally speaking, is in the field of harmonic analysis. More specifically, I am currently interested in the analysis and asymptotics of oscillatory integrals with degenerate phase via resolution of singularities, as well as the critical integrability index and its relationship to the Newton decay. I am also interested in the classical Kakeya problem from the analytical perspectives of Bourgain and Wolff and in possible sharpening of the bilinearization techniques of Tao, Vargas and Vega.
Additionally, I'm always up for some statistics and am interested in applying harmonic analytic techniques to statistical problems.
Also, as an important general rule, I support and am interested in all things science.
Here are some good links for my research:
In case you missed it, here is my supervisor's webpage.
Check out the Harmonic Analysis group at UBC.
An essay I wrote on the Kakeya problem. The focus is on the analytic techniques of Cordoba, Bourgain and Wolff, rather than on the recent combinatorial approaches.
Terrence Tao's lecture notes on the Kakeya and restriction problems.