SCRI is a startup company that uses advanced mathematics, physics and computing to solve real world problems in industry.

Investigating fully non-linear gravitational perturbations of the Kerr space-time.

Permanent faculty as a lecturer in applied mathematics.www.ru.ac.za/mathematics/people

Implementing Cauchy-characteristic matching.

Implementing Cauchy-characteristic matching.

I was asked to lecture a second year computational modeling paper COMO204. This involves the analytical and numerical aspects of ordinary differential equations. I also lectured MATH160 calculus in summer school 2017.

MATH361/MATH170 S1 2013MATH304 S2 2013MATH160 SS 2014MATH361/MATH170 S1 2014MATH304/MATH170 S2 2014COMO303/MATH170 S1 2015MATH306/MATH170 S2 2015

Title: The Numerical Initial Boundary Value Problem for the Generalised Conformal Field Equations in General Relativity.The purpose of this work is to develop for the first time a general framework for the Initial Boundary Value Problem (IBVP) of the Generalised Conformal Field Equations (GCFE). At present the only investigation toward obtaining such a framework was given in the mid 90's by Friedrich at an analytical level and is only valid for Anti-de Sitter space-time. There have so far been no numerical explorations into the validity of building such a framework.The GCFE system is derived in the space-spinor formalism and Newman and Penrose's eth-calculus is imposed to obtain proper spin-weighted equations. These are then rigorously tested both analytically and numerically to confirm their correctness. The global structure of the Schwarzschild, Schwarzschild-de Sitter and Schwarzschild-Anti-de Sitter space-times are numerically reproduced from an IVP and for the the first time, numerical simulations that incorporate both the singularity and the conformal boundary are presented.A framework for the IBVP is then given, where the boundaries are chosen as arbitrary conformal geodesics and where the constraints propagate on (at least) the numerical level. The full generality of the framework is verified numerically for gravitational perturbations of Minkowski and Schwarzschild space-times. A spin-frame adapted to the geometry of future null infinity is developed and the expressions for the Bondi-mass and the Bondi-time given by Penrose and Rindler are generalised. The Bondi-mass is found to equate to the Schwarzschild-mass for the standard Schwarzschild space-time and the famous Bondi-Sachs mass loss is reproduced for the gravitationally perturbed case.

This involved converting R functions to C to optimise performance of statistical code.

This involved continuing the research topic of my honours dissertation "The Friedrich-Nagy system for colliding gravitational waves".

This involved running the digital and film photography lab as well as selling photographic equipment.

Summer research student of the Graphics group in the Computer Science department. My task was to help design algorithms for a 3D scanner.