## Ravi Shankar

Third year graduate student

**Email:**
shankarr@uw.edu

**Office:**
Padelford C-543

### Research area:

Partial differential equations.
### Current research interests

*Inverse Problems.* I am studying with
Gunther Uhlmann
(Calderón's inverse problem).

*Regularity theory.* I am studying with
Yu Yuan
(nonlinear geometric PDEs).
### Ongoing research interests

*Mathematical modeling*. Thin films in a rotating cylinder, and tsunami waves.

*Mathematical physics*. Conservation laws of nonlinear PDEs, infinite symmetry groups of PDEs, and symmetry invariant solutions.

*Nonlocal models*. Maximum principles for nonlinear, nonlocal, degenerate, diffusion equations.
I am supported by the NSF GRFP for 2018-19.