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Duc Khiem Huynh's homepage

Pure Mathematics
University of Waterloo
200 University Ave West
Waterloo, ON N2L 3G1
Canada
dkhuynh(add @uwaterloo.ca)

I am a postdoctoral fellow in the Pure Mathematics Department at the University of Waterloo. My postdoctoral mentor is Michael Rubinstein.. Until quite recently I was a graduate student at the University of Bristol working under the guidance of Nina Snaith.
From January to May 2011, I was a research member at the Mathematical Sciences Research Institute (MSRI) in Berkeley. In the academic year 2011/2012, I am a visiting scholar in the Mathematics Department at Rutgers University .


Research

My research is centred around probablistic models for L-functions arising from random matrix theory. In my thesis I developed a random matrix theory model for a family of elliptic curve L-functions of finite conductor. I am interested in lower order terms of zero statistics and moments of L-functions.

Publications

1. D.K. Huynh, J.P. Keating and N.C. Snaith (2009), Lower order terms for the one-level density of elliptic curve L-functions, arXiv:0811.2304, J. Number Theory, Volume 129, 2883-2902

2. E. Dueñez, D.K. Huynh, J.P. Keating, S.J. Miller and N.C. Snaith (2010), The lowest eigenvalue of Jacobi random matrix ensembles and Painlevé VI, arXiv:1005.1298, J. Phys. A. 43, 405204

3. D.K. Huynh, S.J. Miller and R. Morrison (2011), An elliptic curve family test of the Ratios Conjecture, arXiv:1011.3298, J. Number Theory, Volume 131, 1117-1147

4. E. Dueñez, D.K. Huynh, J.P. Keating, S.J. Miller and N.C. Snaith, A random matrix model for elliptic curve L-Functions of finite conductor, arXiv:1107.4426, submitted