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Research interests
My research is in Random Matrix Theory  in particular looking at the eigenvalue statistics and properties of characteristic polynomials of various random matrix ensembles.
For many years I have considered the connection between Random Matrix Theory and certain number theoretical functions such as the Riemann zeta function and Lfunctions. This connection arises through the statistics of the zeros of these functions and can be exploited, allowing us to study zeta and Lfunctions using the welldeveloped techniques of Random Matrix Theory.
Now I am developing an interest in using random matrix theory in biology  to investigate the statistical distribution of events on chromosomes.
PHD PROJECTS: I'm happy to supervise PhD projects in random matrix theory. The mathematics can be very varied, with previous projects including techniques from probability, analysis, manipulating matrix determinants, combinatorics and computation. We can also discuss applications to biology.
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Collaborations and top research areas from the last five years
Projects
 2 Finished

RANDOM MATRIX THEORY AND NUMBER THEORY: DISTRIBUTION OF PRIMES AND HIGHER ORDER VANISHING OF LFUNCTIONS
1/10/05 → 1/04/09
Project: Research

Research output

Moments of the logarithmic derivative of characteristic polynomials from SO(2N) and USp(2N)
Alvarez, E. & Snaith, N. C., 8 Oct 2020, (Epub ahead of print) In: Journal of Mathematical Physics. 61, 103506 (2020).Research output: Contribution to journal › Article (Academic Journal) › peerreview
Open AccessFile80 Downloads (Pure) 
Mixed moments of characteristic polynomials of random unitary matrices
Bailey, E. C., Bettin, S., Blower, G., Conrey, J. B., Prokhorov, A., Rubinstein, M. O. & Snaith, N. C., 23 Aug 2019, In: Journal of Mathematical Physics. 60, 8, 27 p., 083509.Research output: Contribution to journal › Article (Academic Journal) › peerreview
Open AccessFile8 Citations (Scopus)57 Downloads (Pure) 
Orthogonal and Symplectic nLevel Densities
Mason, A. & Snaith, N., 30 Dec 2017, In: Memoirs of the American Mathematical Society. 251, 1194, p. 193 93 p.Research output: Contribution to journal › Article (Academic Journal) › peerreview
Open AccessFile8 Citations (Scopus)307 Downloads (Pure)
Prizes

LMS prizes  Whitehead Prize
Snaith, Nina C (Recipient), 2008
Prize: Prizes, Medals, Awards and Grants