Dr Christopher Hughes

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

Submitted

Duenez, E, Farmer DW, Froehlich S, Hughes C, Mezzadri F, Phan T. Submitted. Roots of the derivative of the Riemann zeta function and of characteristic polynomials.

2010

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

Bourgade, P, Hughes C, Nikeghbali A, Yor M. 2008. The characteristic polynomial of a random unitary matrix: A probabilistic approach. Duke Math. J.. 145:45--69. Abstract

Full publication list

Teaching

Year: 2010/11
Title	Course category	Term
Matrices and Forms	3rd year	Autumn
Topics in Analytic Number Theory	Masters	Autumn

Year: 2009/10
Title	Course category	Term
Matrices and Forms	3rd year	Autumn
Topics in Analytic Number Theory	Masters	Spring
Calculus II	1st year	Spring

See all years

Department of Mathematics