I am an Assistant Professor in the Math Department. Before coming to UCSB, I was a Postdoctoral Research Associate at the University of Cambridge working with Prof. Gabriel Paternain. I received my PhD in Mathematics from the University of Washington in 2015, and my PhD advisor is Prof. Gunther Uhlmann.

Spring 2018:

Math 8: Transition to Higher Mathematics

*Lens rigidity for a particle in a Yang-Mills field*, (with G. Paternain, G. Uhlmann), submitted.*Reconstruction of a compact Riemannian manifold from the scattering data of internal sources*, (with M. Lassas, T. Saksala), to appear in Inverse Problems and Imaging.*Generic injectivity and stability of inverse problems for connections*, Communications in Partial Differential Equations, 42 (2017), 780-801.*The local magnetic ray transform of tensor fields*, SIAM Journal on Mathematical Analysis, 50 (2018), 1753-1778.*The geodesic X-ray transform with matrix weights*, (with G. Paternain, M. Salo, G. Uhlmann), to appear in American Journal of Mathematics.*Lens rigidity with partial data in the presence of a magnetic field*, to appear in Inverse Problems and Imaging.*Journey to the Center of the Earth*, (with G. Uhlmann), to appear in Proceedings of the International Congress of Mathematical Physics.-
*Invariant distributions and the geodesic ray transform*, (with G. Paternain), Analysis & PDE, 9 (2016), 1903-1930. -
*Injectivity and stability for a generic class of generalized Radon transforms*, (with A. Homan), Journal of Geometric Analysis, 27 (2017), 1515-1529. -
*Invariant distributions and tensor tomography for Gaussian thermostats*, (with Y. Assylbekov), Communications in Analysis and Geometry, 25 (2017), 895-926. -
*An inverse kinematic problem with internal sources*, (with L. Pestov, G. Uhlmann), Inverse Problems, 31 (2015) 055006. -
*Boundary and scattering rigidity problems in the presence of a magnetic field and a potential*, (with Y. Assylbekov), Inverse Problems and Imaging, 9 (2015) 935-950. -
*Local X-ray transform for a general family of curves*, appendix to The inverse problem for the local geodesic ray transform by G. Uhlmann and A. Vasy, Inventiones Mathematicae, 205 (2016) 83-120.

- IAS Workshop on Inverse Problems, Imaging and PDEs, HKUST, Hong Kong, March 12-16, 2018.
- BIRS Workshop: Probing the Earth and the Universe with Microlocal Analysis, Banff, Canada, April 15-19, 2019.
- Conference on Applied Inverse Problems, Grenoble, France, July 8-12, 2019.

- Math 117: Methods of Analysis: Winter 2018;