About Me

Luke Oakden

Bridging Theory and Computation

I am a Master of Science student in Applied Mathematics at the University of Queensland, building upon a dual undergraduate background in mathematics, physics, and computer science.

My academic philosophy is grounded in the rigorous application of pure mathematics to computational problems. While I have a deep appreciation for theoretical physics and pure mathematics; stemming from my background in Quantum Mechanics and Mathematical Physics, my focus has shifted toward Computational Science and Scientific Machine Learning. I am driven by the challenge of connecting abstract theory to practical application, particularly in converting raw data into usable physical insights.

Research & Projects

Currently, my research investigates the intersection of fluid dynamics and deep learning via Physics-Informed Neural Networks (PINNs). I am interested in how we can embed physical laws (ODEs/PDEs) directly into learning algorithms to solve complex dynamical systems.

My technical portfolio reflects this blend of physics and code:

  • High-Performance Computing (HPC): I have implemented Lattice Boltzmann Methods for fluid flow simulations (such as flow around a cylinder), utilising parallel computing techniques to model complex fluid behaviors.
  • Deep Learning Algorithms: I have developed deep statistical learning models including Denoising Diffusion Probabilistic Models and Deep Convolutional Generative Adversarial Networks, exploring the frontiers of generative data distribution.
  • Simulation & Numerical Optimisation: Guided by advanced studies in numerical optimisation and dynamical systems, I design and analyse algorithms for complex physical simulations. This involves applying Finite Element Methods (FEM) and rigorous PDE/ODE techniques to ensure stability and convergence in computational models.

The Pursuit of Speed: High-Performance Sailing

Outside of the classroom, I am a competitive sailor with a passion for high-speed hydrodynamics. My sailing career has been a steady progression up the ladder of performance.

Starting in local club racing, I advanced through the technical youth classes, culminating in a Youth National Championship in the Formula 18 class and multiple Vice-Championship titles across the Nacra 15 and Formula 16 classes.

Today, I have transitioned to Grand Prix style hydrofoiling. I currently campaign a Nacra 17, a Nacra F20 Carbon FCS (flight control system), and an SL33; a 33-foot foiling catamaran originally developed by Emirates Team New Zealand for America’s Cup testing. Managing these unstable, high-velocity platforms requires the same discipline I apply to my studies: precise analysis, rapid decision-making, and an intuitive understanding of fluid dynamics.