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 DPMMS 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
- (with Serban Cicortas, Igor Rodnianski) Instability of Self-Similar Implosions for the Compressible Euler Equations, arXiv.
- 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)
PhD Thesis
My PhD thesis is available here: On Hunter-type Gravitational Collapse Profiles for the Euler-Poisson System. Section 1 is expository and has not appeared elsewhere. Sections 2 and 3 are the above two papers on Hunter solutions.