Nina Snaith

Nina Claire Snaith (* 1974 ) is a British mathematician. She is a professor ( reader ) at Bristol University .

She is the daughter of Victor Snaith , Professor of Mathematics at the University of Sheffield .

Snaith received her PhD from the University of Bristol with Jonathan P. Keating in 2000 ( Random matrix theory and zeta functions ).

She researches the relationship between random matrices and the Riemann zeta function and related functions ( L functions ) that result from the statistical properties of the distribution of the zeros of these functions. The first indications of such a connection come from the 1970s ( Hugh L. Montgomery , Freeman Dyson ). The investigations also provide links to quantum chaos (which was particularly promoted by Keating and Michael Berry in Bristol). With Keating, Snaith found a formula for all the moments of the Riemann zeta function (previously only two moments were known and assumed for a third). One aim of these investigations is to obtain a new approach to the proof of the Riemann Hypothesis .

She also investigates random matrix models for other L-functions such as elliptic curves.

She also worked in this area with number theorist Brian Conrey .

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

Her brother Daniel V. Snaith, who also has a doctorate in maths, is known as an electro musician ( Caribou (musician) ).

Fonts

Editor 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 ${\ displaystyle \ zeta (1/2 + it)}$ , Communications in Mathematical Physics, Volume 214, 2000, pp. 57-89, online
with Keating Random matrix theory and L-functions at ${\ displaystyle s = 1/2}$ , Communications in Mathematical Physics, Volume 214, 2000, pp. 91-110
with Keating Random matrices and L-functions , Journal of Physics A, Volume 36, 2003, pp. 2859-2881
with David W. Farmer, F. Mezzadri Random polynomials, random matrices, and L-functions , Nonlinearity, Volume 19, 2006, pp. 919-936, Arxiv
with J. Brian Conrey, DW Farmer, Keating, MO Rubinstein Integral moments of L-functions , Proceedings of the London Mathematical Society, Volume 91, 2005, pp. 33-104, Arxiv
with 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., Vol. 237, 2003, pp. 365-395, Arxiv

Web links

Individual evidence

personal data
SURNAME	Snaith, Nina
ALTERNATIVE NAMES	Snaith, Nina Claire (full name)
BRIEF DESCRIPTION	British mathematician
DATE OF BIRTH	1974

[1] Mathematics Genealogy Project

[2] Eduardo Dueñez, Duc Khiem Huynh, Jon P. Keating, Steven J. Miller, Snaith A Random Matrix Model for Elliptic Curve L-Functions of Finite Conductor , J. Phys. A, Volume 45, 2012, p. 115