Research

My research was in harmonic analysis, particularly oscillatory integrals and oscillatory integral operators.

Publications

  1. "A class of simple rearrangements of the alternating harmonic series." Amer. Math. Monthly 125 (2018), no. 3, pp. 245-256. If interested, ask me for a preprint.
  2. "Some oscillatory integral estimates via real analysis." Math. Z. 289 (2018), no. 1-2, 377-403. Arxiv preprint can be found here.
  3. "Higher decay inequalities for multilinear oscillatory integrals." Joint work with Philip T. Gressman and Lechao Xiao. Math. Res. Let. 25 (2018), no. 2, 819-842. Arxiv preprint can be found here.
  4. "$\ell^2$ decoupling in $\mathbb{R}^2$ with vanishing curvature." Joint work with Chandan Biswas, Linhan Li, Jeremy Schwend, and Yakun Xi. Arxiv preprint can be found here.
  5. "Oscillatory Loomis-Whitney and projections of sublevel sets." Joint work with Kevin O'Neill. Arxiv preprint can be found here.