Math background
Gustavo Navarro profile picture

Gustavo Navarro

Math, Physics, Software and Leadership

Welcome to My Portfolio

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.

Featured Projects

Bazaar of Dragons

Bazaar of Dragons

A marketplace for table top miniatures

Particles

Quantum Physics for Engineers

No advanced math - real applications - Deep understanding of quantum physics through code

Twitch

Twitch stream

Advanced physics and math simplified through code and numerical computation.

About Me

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

Get in Touch

Interested in collaborating on a project? Feel free to reach out:

Email: john.doe@example.com

Phone: (123) 456-7890