My research is somewhere in the region of Algebra, Computer Science, Geometry and Theoretical Physics. I am a generalist rather than a specialist, and am quite happy on the interface between different subject areas. My papers can be found in Google scholar
https://scholar.google.co.uk/citations?user=eG5q--cAAAAJ&hl=en
My personal webpage can be found here:
In 2020 Shahn Majid and I published the book Quantum Riemannian geometry in Grundlehren, Springer’s first book series in higher mathematics, founded in 1920.
Link to Springer website: https://www.springer.com/gp/book/9783030302931
An introduction to logic and algebraic structures. The course covers the basics of logic, proof and algebraic manipulation before introducing the abstract algebra of groups, rings and fields.
This course approaches the theory of groups and rings as abstract algebraic objects.
Game theory is about strategies for making decisions, in cases where there are two or more players. The complication is that the possible choices for the other players may influence a particular player's choice of strategy. Economics has many examples of the application of game theory, but it has also been applied to areas as diverse as global politics (e.g. the Cuban missile crisis) and evolutionary biology (e.g. the hawks and doves game). Optimisation is about finding the optimum strategy (e.g. maximising profit for a company) by maximising or minimising a function in a specified domain. Again it has applications in economics, but it has also been used in engineering design (e.g. genetic algorithms were used to design the superconducting magnets in the CERN particle accelerator) and molecular biology (modelling shapes of molecules by minimising energy).
Cyflwyniad i strwythurau rhesymegol ac algebraidd. Mae'r cwrs hwn yn ystyried sylfeini rhesymeg, prawf a thrin algebraidd cyn cyflwyno yr algebra haniaethol o grwpiau, cylchoedd a meysydd.
Mae'r cwrs hwn yn ystyried theori grwpiau a chylchoedd fel gwrthrychau algebraidd haniaethol.
