I am a PhD student in Pure Mathematics in
the School of
Mathematical Sciences at
University of London.
My supervisor is Alex Fink.
My email: email@example.com
My CV and research statement.
Combinatorics and related areas. In particular, matroid theory, polymatroids, the Tutte polynomial, clutters, graph theory, and a side interest in game theory.
My PhD topic is an Ehrhart-flavoured problem on matroid polytopes. We construct a polynomial for polymatroids which behaves similarly to
the Tutte polynomial, and is in fact an evaluation of Tutte when we restrict to matroids.
My MSc thesis, completed at Victoria University of Wellington under the supervision of Dillon Mayhew, is on representability of matroids, namely
the Kinser inequalities. The pdf is available on the Arxiv.
Amanda Cameron and Alex Fink, A lattice point counting
generalisation of the Tutte polynomial, extended abstract.
Full version forthcoming.
Amanda Cameron and Dillon Mayhew, A splitter theorem for connected clutters, submitted.
Amanda Cameron and Dillon Mayhew, Kinser inequalities and related matroids, Graphs and Combinatorics, January 2016, Volume 32, Issue 1, pp 31-47 DOI 10.1007/s00373-015-1555-0.
Amanda Cameron, Kinser inequalities and related matroids, MSc thesis.
At Queen Mary University of London:
MTH4103: Geometry 1
At Victoria University of Wellington:
MTH4104: Introduction to Algebra
MTH5112: Linear Algebra 1
MTH6141: Random Processes
MATH 131: Intro to Mathematical Thinking
MATH 151: Algebra
MATH 161: Discrete Mathematics and Logic
MATH 251: Linear Algebra
MATH 261: Discrete Mathematics 2
ECON 201: Intermediate Microeconomics
ECON 211: Industrial Economics
ECON 314: Game Theory