Joachim Worthington

me

Recent PhD student in the School of Mathematics and Statistics at the University of Sydney.


Postal address: Joachim Worthington
School of Mathematics and Statistics F07
University of Sydney NSW 2006
Australia
Email: joachimw@maths.usyd.edu.au


Curriculum Vitae (July 2017).

Research Interests

Recently completed PhD under Prof Holger Dullin on stability theory in Hamiltonian systems. Studying stability of certain equilbiria in an Euler flow on a torus. Other research on Astrodynamics and Integrable Systems.

Papers

Stability theory and Hamiltonian dynamics in the Euler ideal fluid equations, PhD Thesis, 2017. 

Stability Results for Idealised Shear Flows on a Rectangular Periodic Domain, 2017, (arxiv mirror) with Holger Dullin.  

Instability of Equilibria for the 2D Euler Equations on the torus, 2016 (arXiv mirror) with Holger Dullin and Robert Marangell. 

The Vanishing Twist in the Restricted Three Body Problem, 2013 (arXiv mirror) with Holger Dullin.  

Other Bits and Pieces

A Study of the Planar Circular Restricted Three Body Problem and the Vanishing Twist. Honours Thesis (2012).

Shear Flows, Structure and Stability for Ideal Fluids in Two and Three Dimensions, a poster presented at the SIAM DS17 conference in Salt Lake City, May 2017.

Moment Maps in Perturbed Semitoric Systems. A poster presented at the Integrable Systems conference at CSF Ascona in Switzerland, June 2016.

Instability of Equilibria for the 2D Euler equations on the torus, a poster presented at the SIAM DS15 conference in Utah, May 2015.

The Vanishing Twist in the Restricted Three Body Problem, a poster presented at the Vlasov-Poisson : the numerical approach and its limits conference at Institut Henri Poincaré in Paris, October 2013.

Approximating Stochastic Differential Equations by Hermite Polynomials , 2012.

Algorhythms: Generating some Interesting Rhythms. A talk given to the Sydney University Mathematics Society (SUMS), May 2014.

The Sound of Science: Using Mathematics to Manipulate Sound. A talk given to the Sydney University Mathematics Society (SUMS), May 2013. Pure Data file: Additive Synthesis example.

me Comic from Left-Handed Toons.