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.

Winter 2019: No teaching

*Travel time tomography*, (with P. Stefanov, G. Uhlmann, A. Vasy), submitted.*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), Inverse Problems and Imaging, 12 (2018), 993–1031.*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*, Inverse Problems and Imaging, 12 (2018), 1365-1387.*Journey to the Center of the Earth*, (with G. Uhlmann), submitted to the Proceeding of the XVIII International Congress on 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.

- BIRS Workshop: Probing the Earth and the Universe with Microlocal Analysis, Banff, Canada, April 15-19, 2019.
- Applied Inverse Problems Conference, Grenoble, France, July 8-12, 2019.
- International Congress on Industrial and Applied Mathematics, Valencia, Spain, July 15-19, 2019.
- MSRI Program on Microlocal Analysis, August-December, 2019.

- Math 8: Transition to Higher Mathematics: Spring 2018;
- Math 117: Methods of Analysis: Winter 2018, Spring 2018;
- Math 206D: PDE's Finite Element Method: Fall 2018;
- Math 260H: Seminar in Math - Introduction to X-ray and Radon transforms: Fall 2018;