Dr Christopher Hughes

Research group:

Number Theory | Pure Mathematics

MA (Cantab), PhD (Bristol)

Lecturer

Research interests

I am interested in the connections between random matrix theory and number theory, in particular in using characteristic polynomials of random matrices to predict the distribution of L-function values. Methods used in these studies have applications beyond number theory, to mathematical physics, combinatorics, logic and probability.

Recent Publications

In Press

Hughes, C, Najnudel J, Nikeghbali A, Zeindler D. In Press. Random Permutation Matrices Under the Generalized Ewens Measure. The Annals of Applied Probability. Abstract

2010

Duenez, E, Farmer DW, Froehlich S, Hughes C, Mezzadri F, Phan T. 2010. Roots of the derivative of the Riemann zeta function and of characteristic polynomials. Nonlinearity. 23:2599--2621. Abstract

Hughes, C, Young MP. 2010. The twisted fourth moment of the Riemann zeta function. Journal fur die reine und angewandte Mathematik (Crelle's Journal). 2010(641):203--236. Abstract

2009

Beineke, J, Hughes C. 2009. Great Moments of the Riemann Zeta Function. Biscuits of Number Theory. :199--215. Abstract

2008

Hughes, C, Nikeghbali A, Yor M. 2008. An arithmetic model for the total disorder process. Probability Theory and Related Fields. 141:47--59. Abstract

Full publication list

Teaching

Year: 2012/13
Title	Course category	Term
Cryptography	3rd year	Autumn
Complex Analysis and Integral Transforms	2nd year	Spring Summer
Topics in Analytic Number Theory	Masters	Spring

Edited 28 Jun 2011 - 22:14 by ch540

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Contact Details

Dr Christopher Hughes
Department of Mathematics
University of York
York, YO10 5DD

christopher.hughes@york.ac.uk

Tel:	+44 1904 32 3098
Fax:	+44 1904 32 3071
Office:	G/123