Ely Sandine

I am a Postdoctoral Research Associate at the Department of Pure Mathematics and Mathematical Statistics, Cambridge University. My email is available on the Cambridge website, https://www.dpmms.cam.ac.uk/person/ebs37. I received a PhD from UC Berkeley in the Spring of 2026. My advisor was Sung-Jin Oh. Previously, I was an undergraduate at Cornell University.

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)