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# Dr Nina Snaith

## Dr Nina Snaith

B.Sc.(McM.), Ph.D.(Bristol)

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### Mathematical Physics

### Pure Mathematics

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B.Sc.(McM.), Ph.D.(Bristol)

Office 2A.03

Fry BuildingWoodland Road,

BS8 1UG

(See a map)

+44 (0) 117 42 84980

n.c.snaith@bristol.ac.uk

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 L-functions. This connection arises through the statistics of the zeros of these functions and can be exploited, allowing us to study zeta and L-functions using the well-developed 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.

Present appointment: Reader (since 2007)

Previous appointment: Lecturer at the University of Bristol and EPSRC Advanced Research Fellow (from 2004)

Royal Society Dorothy Hodgkin Research fellow at the University of Bristol (2000 to 2004)

PhD: "Random Matrix Theory and Zeta Functions" from the University of Bristol, 2000 (Supervisor: Jonathan Keating)

BSc: Honours Degree in Physics (Theory Option) from McMaster University, Hamilton, Canada

- Bailey, EC, Bettin, S, Blower, G, Conrey, JB, Prokhorov, A, Rubinstein, M & Snaith, NC, 2019, ‘Mixed moments of characteristic polynomials of random unitary matrices’.
*Journal of Mathematical Physics*, vol 60. - Mason, A & Snaith, N, 2017, ‘Orthogonal and Symplectic n-Level Densities’.
*Memoirs of the American Mathematical Society*, vol 251., pp. 1-93 - Mason, A & Snaith, N, 2016, ‘Symplectic n-level densities with restricted support’.
*Random Matrices: Theory and Applications*, vol 5. - Cooper, I, Morris, P & Snaith, NC, 2016, ‘Beyond the excised ensemble: modelling elliptic curve L-functions with random matrices’.
*Journal of Physics A: Mathematical and Theoretical*, vol 49. - Snaith, NC & Conrey, B, 2014, ‘In support of n-correlation’.
*Communications in Mathematical Physics*, vol 330., pp. 639-653 - Conrey, JB & Snaith, NC, 2013, ‘On the orthogonal symmetry of L-functions of a family of Hecke Grössencharacters’.
*Acta Arithmetica*, vol 157., pp. 323-356 - E., D, Huynh, DKK, Keating, JP, J., MS & Snaith, NC, 2012, ‘A random matrix model for elliptic curve L-functions of finite conductor’.
*Journal of Physics A: Mathematical and Theoretical*, vol 45. - Conrey, J & Snaith, N, 2012, ‘The L-functions of powers of a Hecke character’.
*Journal of the London Mathematical Society*., pp. Submitted - Snaith, N, Keating, J, E., D, K., HD & J., MS, 2010, ‘The lowest eigenvalue of Jacobi random matrix ensembles and Painleve VI’.
*Journal of Physics A: Mathematical and Theoretical*, vol 43, number 40., pp. 405204 - 405230 - Snaith, NC, 2010, ‘Riemann Zeros and Random Matrix Theory’.
*Milan Journal of Mathematics*, vol 78., pp. 135-152

View complete publications list in the University of Bristol publications system

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