What We do The Department of Mathematics offers a large range of modules in pure and applied mathematics at the undergraduate and graduate levels. Besides their teaching duties, staff members are engaged in research in various areas of mathematics. Below are brief descriptions of some of the work carried out by members of the Department Associate Prof. Brett T. McInnes String theory is currently the leading candidate for a unified theory of all the forces of nature. Unfortunately there seem to be several different string theories, but physicists hope that these different versions are really just different mathematical forms of one fundamental theory.
Duality involves many different and extremely deep mathematical ideas.
My work is concerned with the geometry and topology of string duality. Perhaps surprisingly, the richness of the algebraic structures created in this way has had a major impact on other areas of mathematics, leading to new research areas such as category theory, homological algebra and K-theory. Some of the tools have proved very powerful, and have solved outstanding problems in geometry. The study of Diophantine equations dates back to the ancient Greeks and continues to be of interest today. The statement of Fermat s last theorem is that when n is an integer greater than or equal to 3, then there are no solutions to the equation with x , y and z all positive whole numbers.