Me explaining how to "hear" the shape of a graph at the Royal Society Summer Science Exhibition 2011.
I am generally interested in the theory and application of Random Matrices, a beautiful area of mathematics developed in the 1950s/60s by Wigner and Dyson. Nowadays, random matrix theory has a huge and growing number of applications in various areas of mathematics and physics. My research presently concerns the use of random matrix theory to explain universal statistical fluctuations of transport in chaotic quantum dots.
In particular my work has involved developing methods to treat systems which are time-reversal invariant - related to ensembles of random matrices with orthogonal and symplectic symmetry. I have two papers on this topic,
1) Moments of the transmission eigenvalues, proper delay times and random matrix theory I.
J. Math. Phys. 52 103511 (2011)
2) Moments of the transmission eigenvalues, proper delay times and random matrix theory II.
J. Math. Phys. 53, 053504 (2012)
My PhD supervisor and coauthor is Dr. Francesco Mezzadri.
You can contact me by email at n.simm (with @bristol.ac.uk).
Teaching:
This year I am tutoring a class of 17 undergraduates in differential and integral calculus. The course website can be found here.