|
2006
|
Homology of
Finitely Generated Abelian Groups
|
|
4th year dissertation outlining
the basic concepts of Homology, with the final goal of calculating the
homology and cohomology groups of finitely generated abelian groups.
|
|
2006 |
Galois
Theory Essay |
|
4th year prepared examination essay presenting an example of the Galois
correspondence for a degree 3 polynomial. |
|
2005
|
The
Theory of Knots
|
|
3rd year dissertation exploring the history and definition of a
mathematical knot, knot invariants and some applications to real world
problems.
|
|
2005 |
Group
Theory Essay |
|
3rd year prepared examination essay presenting a full
description of the structure and representations of D12. |
|
2005
|
Perfect
Numbers
|
|
3rd year dissertation introducing perfect numbers and Mersenne
primes, which motivates a brief study of primality testing.
|
