Kia ora!

I’m Juan Patiño-Echeverría, currently a Professional Teaching Fellow (and PhD candidate) in Mathematics at the University of Auckland.

My research is in dynamical systems: I study how deterministic equations can produce behaviour that looks unpredictable, and how we can compute the mechanisms behind that transition to chaos. My PhD thesis is titled “Transitions to Wild Chaos in a Four-Dimensional Lorenz-like System”, supervised by Professors Hinke Osinga and Bernd Krauskopf.

Research Interests
Chaos, bifurcations, nonlinear dynamics, numerical continuation, scientific computing.

A small glimpse of the kind of geometry I spend my days thinking about.

Selected highlights

• Preprint (2025): Global bifurcation structure of a four-dimensional Lorenz-like system with a wild chaotic attractor — see Projects.
• Awards: A couple of best student talks / poster awards - see About.
• Teaching: Currently teaching two courses: Differential Equations and Methods in Applied Mathematics.

Outside maths

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

Contact

Email is best: j.patino@auckland.ac.nz