I study partial differential equations, primarily through the lens of harmonic analysis. I am interested in inverse problems and dispersive equations.

Papers and preprints

1. Uniqueness in Calderón’s problem with Lipschitz conductivities (with Daniel Tataru), Duke Math. J. 162 (2013), no. 3, 497-516. arXiv
2. Uniqueness in Calderón’s problem for conductivities with unbounded gradient, Comm. Math. Phys. 340 (2015), no. 2, 639-659. arXiv
3. Unique determination of a magnetic Schrödinger operator with unbounded magnetic potential from boundary data, Int. Math. Res. Not. (2018), no. 4, 1080-1128. arXiv
4. Algebraic theories and commutativity in a sheaf topos, Appl. Categor. Struct. (2019). arXiv