Ely Sandine

I am a 5th year graduate student at UC Berkeley. My advisor is Sung-Jin Oh. My email address is . Previously, I was an undergraduate at Cornell University, during which time I was supervised in undergraduate research by Matvei Libine and Robert S. Strichartz.

I am currently on the job market for postdoctoral positions.

Research Interests

I study singularity formation for nonlinear PDEs with a focus on the Euler-Poisson system.

Papers and Preprints

Hunter-type Implosion Profiles for Energy-supercritical Polytropic Equations of State, arXiv, submitted.
Hunter self-similar implosion profiles for the gravitational Euler-Poisson system, Comm. Math. Phys. Vol. 405, no. 248 (2024)
(with Shiping Cao, Malte S. Hassler, Hua Qiu, Robert S. Strichartz) Existence and uniqueness of diffusions on the Julia sets of Misiurewicz-Sierpinski maps, Adv. Math.Vol. 389 (2021)
(with Matvei Libine) Clifford Analysis with Indefinite Signature, Complex Anal. Oper. Theory Vol. 15 no. 4 (2021)
(with Christian Loring, W. Jacob Ogden, Robert S. Strichartz) Polynomials on the Sierpinski Gasket with Respect to Different Laplacians which are Symmetric and Self-Similar, J. Fractal Geom. no. 4 (2020)

Miscellaneous

Here is a link to the schedule for the Spring 2024 nonlinear pde learning seminar on the topic of shocks (co-organized with Sung-Jin Oh).