Welcome to my page

I am a repurposed math PhD, working in Algorithms and software leadership in the Bay Area. In the past I worked mainly in problems related to Fluid dynamics and Free boundary problems. My thesis was on the local and global well-posedness of the Two-Phase Stefan problem, which is a model for the interaction of two phases of a fluid, like ice and water, and the evolution of the interface that separates the two.

I am interested in anything related to mathematics, from numerical simulations of differential equations, to optimization, and lately Data Science. Any problem that can be modeled into a mathematical question, and that requires deep thinking and the development of new mathematical tools sparks my interest.

My projects

These are all half-baked ideas that get worked on whenever I have time

Bazaar of Dragons - a marketplace for table top miniatures
Diamond Matching - a model for estimating the right prize of diamonds
Singular limits in Liouville-type equations - an extension to my undergraduate thesis
Hollow stars - what happens inside a non-equilibrium star?
My blog - Where I write about whatever with a random frequency

Quick bio

Ph.D. Mathematics (2016) University of California Davis. Advisor: Steve Shkoller. Thesis: Local and Global well-posedness of the Two-phase Stefan problem.

BS Physics (2008) Physics department, U. Chile.

BS Mathematics (2008) Mathematics department, U. Chile.

Mathematical Civil Engineering (2009) Mathematics department, U. Chile. Advisor: Juan Diego Davila. Undergraduate Thesis: Singular Limits in Liouville type equations with exponential Neumann data.

Publications

M. Hadzic, G. Navarro, S. Shkoller, Local well-posedness and Global stability of the Two-phase Stefan problem. SIAM J. Math. Anal., 49(6), 4942–5006. (65 pages) SIAM, Arxiv
R. Granero-Belinchon, G. Navarro, A. Ortega, On the effect of boundaries in the two-phase porous flow. Nonlinearity 28 (2015) 435-461. IOPScience, Arxiv