Nina Snaith

Nina Claire Snaith ( born 1974 ) is a British mathematician. She is Professor ( Reader) at the University of Bristol.

She is the daughter of Victor Snaith, a professor of mathematics at the University of Sheffield.

Snaith in 2000 received his doctorate at the University of Bristol in Jonathan P. Keating (Random matrix theory and zeta functions).

Her research focuses on the connection between random matrices and the Riemann zeta function and related functions (L- functions) that arise from the statistical properties of the distribution of the zeros of these functions. First evidence of such a connection are from the 1970s ( Hugh L. Montgomery, Freeman Dyson ). The studies also provide connections to the quantum chaos (which was particularly driven by Keating and Michael Berry at Bristol). With Keating Snaith found a formula for all moments of the Riemann zeta function ( previously were only two moments known and suspected for a third ). One goal of these studies is to obtain a new access to the proof of the Riemann Hypothesis.

It also examines random matrix models to other L- functions to those of elliptic curves.

She worked in this field with the number theorist Brian Conrey together.

In 2008 she was awarded the Whitehead Prize. She received an EPSRC Advanced Research Fellowship.

Her brother Daniel V. Snaith, also a graduate student in mathematics, is as Electro- known musicians ( Caribou (musician ) ).

Writings

  • Publisher with Francesco Mezzadri Recent perspectives in random matrix theory and number theory, London Mathematical Society Lecture Note Series, Cambridge University Press 2005
  • With Keating Random matrix theory and, Communications in Mathematical Physics, Volume 214, 2000, pp. 57-89, online
  • With Keating Random matrices and L -functions, Journal of Physics A, Volume 36, 2003, pp. 2859-2881
  • Polynomials with David W. Farmer, F. Mezzadri Random, random matrices, and L -functions, Nonlinearity, volume 19, 2006, pp. 919-936, Arxiv
  • With J. Brian Conrey, D. W. Farmer, Keating, M.O. Rubinstein Integral moments of L -functions, Proceedings of the London Mathematical Society, Volume 91, 2005, pp. 33-104, Arxiv
  • PJ Forrester, JJM Verbaarschot Developments in random matrix theory, J. Phys. A, Volume 36, 2003, R 1
  • With Conrey, Farmer, Keating, Rubinstein Autocorrelation of random matrix polynomials, Comm. Math Phys., Volume 237, 2003, pp. 365-395, Arxiv
L-function Hugh Montgomery (mathematician) Michael Berry (physicist) Caribou (musician)
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