Dr Christopher Hughes
MA (Cantab), PhD (Bristol)
Senior Lecturer
Research interestsI 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 Lfunction values. Methods used in these studies have applications beyond number theory, to mathematical physics, combinatorics, logic and probability.
Recent Publications2013
Random Permutation Matrices Under the Generalized Ewens Measure. The Annals of Applied Probability. 23:9871024. Abstract
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2013. 2010
The twisted fourth moment of the Riemann zeta function. Journal fur die reine und angewandte Mathematik (Crelle's Journal). 2010(641):203236. Abstract
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2010.
Roots of the derivative of the Riemann zeta function and of characteristic polynomials. Nonlinearity. 23:25992621. Abstract
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2010. 2009
Great Moments of the Riemann Zeta Function. Biscuits of Number Theory. :199215. Abstract
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2009. 2008
The characteristic polynomial of a random unitary matrix: A probabilistic approach. Duke Math. J.. 145:4569. Abstract
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2008. Teaching

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


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