Recent positions and publications

Oct 2007-current: Advisor, Australian Energy Market Commission 

Mar 2007-current: Honorary Associate, the School of Mathematics and Statistics, the University of Sydney.

Jan 2005-Oct 2007: Research Fellow, Australian Council for Educational Research.

I have a number of academic mathematics publictions and have refereed/reviewed publications for J. Math. Phys. and Mathematical Reviews on the Web (MathSciNet).

My mathematics publications are as follows.

On the uncoloured Uq(osp(1|2n)) and U−q(so(2n + 1)) quantum link invariants. Accepted for publication by J. Knot Theory and Its Ramifications.

The Birman-Wenzl-Murakami algebra, Hecke algebra and representations of Uq(osp(1|2n)). The first part of Ph.D thesis together with some extra work. math.QA/0607049

Two generalisations of the Binomial theorem. Aust. Math. Soc. Gaz. 33 (2006), no. 1, 39-43

Quantum superalgebras at roots of unity and topological invariants of three-manifolds. Ph.D thesis, University of Sydney, 2005.

Topological invariants of three-manifolds from Uq(osp(1/2n)), Group 24: Physical and Mathematical aspects of symmetry, 24th International colloquium on Group Theoretical Methods in Physics, J-P Gazeau, R Kerner, J P Antoine, S Metens and J Y Thibon (eds.) The Institute of Physics Conference Series, Institute of Physics Publishing, Bristol, UK, (2003), 783–786. ISBN 0 7503 0933 4

Hamiltonian dynamical systems and chaos in a coupled standard map. Honours thesis, University of Qld, 1997.

2 Responses to “Recent positions and publications”

  1. Marc P Hurowitz, JD Says:
    May 5, 2009 at 3:01 am

    Why are “pi” and “e-squared” multiples in the fine structure equation? I mean, how did one intuit that pi or e-squared should be connected to fine structure. Were they just wild guesses? What does pi have to do with it? I thought pi has to do w/ figuring circumference. And, why is e squared? I’m trying to grasp some plausible meaning or connection, if there is one.

  2. Sacha Says:
    May 10, 2009 at 10:00 pm

    Marc, I think that many people just go, “who knows”! It seems to me related to the big question about how come maths works so well in describing the world. I don’t know if anyone knows the answer to this, but personally I think it’s related to people getting ideas about maths from observing the natural world, i.e. maths being built into the world somehow.

Comments are closed.