Amanda Cameron

I am a PhD student in Pure Mathematics in the School of Mathematical Sciences at Queen Mary University of London.
My supervisor is Alex Fink.

My email: amanda.cameron@qmul.ac.uk

My CV and research statement.


Research Interests

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.

Publications

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.

Tutorial Experience

At Queen Mary University of London:

MTH4103: Geometry 1
MTH4104: Introduction to Algebra
MTH5112: Linear Algebra 1
MTH6115: Cryptography
MTH6141: Random Processes

At Victoria University of Wellington:

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