Kia ora — welcome

I’m Juan Patiño-Echeverría, a mathematician and Professional Teaching Fellow at the University of Auckland.

My research is in dynamical systems: I study how deterministic equations can produce behaviour that looks genuinely unpredictable, and how we can compute the geometric mechanisms behind that transition to chaos.

chaos bifurcations nonlinear dynamics numerical continuation scientific computing

A small glimpse of the geometry I spent my PhD thinking about.

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Selected highlights

• 2026 PhD thesis: Transitions to Wild Chaos in a Four-Dimensional Lorenz-like System — supervised by Professors Hinke Osinga and Bernd Krauskopf.
• 2025 Preprint: Global bifurcation structure of a four-dimensional Lorenz-like system with a wild chaotic attractor — see Projects →
• 2023–25 Best student talk and best poster prizes at SIAM, ANZIAM, NZMS and joint meetings — see About →
• Now Teaching Differential Equations (MATHS260) and Methods in Applied Mathematics (MATHS362).

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Outside maths

Triathlon and open-water swimming keep me honest. I also like writing small programs to automate boring tasks, and I maintain ambitious reading lists I fully intend to finish one day.

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Contact Email:

j.patino@auckland.ac.nz