MATHEMATICS & PHYSICS
Showcase of work I have done in mathematics and physics during my academic career.
April 11, 2016
My honours mathematics project.
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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
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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.