Lachlan G. Burton

Lachlan G. Burton

Applied Mathematician

The University of Sydney

Biography

I am an applied mathematician from Queensland, Australia. I received my PhD in Dynamical Systems from the University of Sydney in 2024. My research interests include Dynamical Systems, Complex Systems and Networks. I am also an enthusiast of scientific computing, particularly using the Julia programming language. Starting in July 2024, I will be a Postdoctoral Research Associate in the School of Electronic Engineering and Computer Science at Queen Mary University of London.

You can find details of some of my work below.

(Webpage still under construction)

Interests
  • Transient Chaos
  • Hamiltonian Mechanics
  • Complex Systems
  • Data Science
  • Scientific Computing
Education
  • PhD in Dynamical Systems, 2019-2024

    The University of Sydney

  • BA Honours in Mathematics (Class I Honours), 2018

    The University of Queensland

  • BSc in Physics/BA in Mathematics, 2014-2017

    The University of Queensland

Skills

Technical
Python

graph-tool, NetworkX, and tools for data science

Julia

Packages for Scientific Computing, Dynamical Systems and Data Visualisation

Teaching Experience

 
 
 
 
 
Casual Academic
The University of Sydney
July 2019 – December 2023 Sydney, New South Wales, Australia

Courses Tutored:

  • MATH1021 - Calculus of One Variable
  • MATH1023 - Multivariable Calculus & Modelling
  • MATH1002 - Linear Algebra
  • MATH1004 - Discrete Mathematics
  • MATH2021 - Vector Calculus & Differential Equations
  • MATH2023 - Analysis
  • MATH3888 - Projects in Mathematics (Complex Networks & Microbiology Stream)
 
 
 
 
 
Casual Academic
The University of Queensland
March 2016 – December 2018 Brisbane, Queensland, Australia

Courses Tutored:

  • MATH1051 - Calculus & Linear Algebra I
  • MATH1052 - Multivariate Calculus & Ordinary Differential Equations
  • MATH2000 - Calculus & Linear Algebra II

Projects

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The Hénon–Heiles System
Transient Chaos in an open chaotic Hamiltonian system.
The Hénon–Heiles System
The Restricted 3-Body Problem
The effect of dissipation on the motion of celestial bodies.
The Restricted 3-Body Problem

Recent Publications

(2023). Probabilistic description of dissipative chaotic scattering. Phys. Rev. E.

Cite DOI URL