MATHEMATICS & PHYSICS
Showcase of work I have done in mathematics and physics during my academic career.
April 11, 2016
My honours mathematics project.
Abstract:
We discuss various connections between computability and topology. A simple topological proof for the Type-2 version of Rice's Theorem is given. We characterise semi-decidability and computability in the context of effective topological spaces. Finally, Type-2 and Markov computability are compared, and the notion of Kolmogorov complexity is used to describe an exact relationship.
CATEGORY THEORY PROJECT
September 16, 2013
This is my 3rd year mathematics project covering the topic of free algebras in category theory.
NUCLEAR MODIFICATION FACTOR
September 15, 2014
3rd year physics project on calculating the so-called nuclear modification factor from lead-lead collisions at CERN.