Research output per year

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Personal profile

Research interests

My research is in Random Matrix Theory - in particular looking at the eigenvalue statistics and properties of characteristic polynomials of various random matrix ensembles.  

For many years I have considered the connection between Random Matrix Theory and certain number theoretical functions such as the Riemann zeta function and L-functions. This connection arises through the statistics of the zeros of these functions and can be exploited, allowing us to study zeta and L-functions using the well-developed techniques of Random Matrix Theory.

Now I am developing an interest in using random matrix theory in biology - to investigate the statistical distribution of events on chromosomes.  


PHD PROJECTS: I'm happy to supervise PhD projects in random matrix theory.  The mathematics can be very varied, with previous projects including techniques from probability, analysis, manipulating matrix determinants, combinatorics and computation.  We can also discuss applications to biology.  

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Research Output

  • 28 Article (Academic Journal)
  • 3 Chapter in a book
  • 2 Edited book
  • 1 Conference Contribution (Conference Proceeding)

Mixed moments of characteristic polynomials of random unitary matrices

Bailey, E. C., Bettin, S., Blower, G., Conrey, J. B., Prokhorov, A., Rubinstein, M. O. & Snaith, N. C., 23 Aug 2019, In : Journal of Mathematical Physics. 60, 8, 27 p., 083509.

Research output: Contribution to journalArticle (Academic Journal)

  • 2 Citations (Scopus)
    1 Downloads (Pure)

    Orthogonal and Symplectic n-Level Densities

    Mason, A. & Snaith, N., 30 Dec 2017, In : Memoirs of the American Mathematical Society. 251, 1194, p. 1-93 93 p.

    Research output: Contribution to journalArticle (Academic Journal)

    Open Access
  • 263 Downloads (Pure)

    Beyond the excised ensemble: modelling elliptic curve L-functions with random matrices

    Cooper, I., Morris, P. & Snaith, N. C., 19 Feb 2016, In : Journal of Physics A: Mathematical and Theoretical. 49, 7, 25 p., 075202.

    Research output: Contribution to journalArticle (Academic Journal)

    Open Access
  • 237 Downloads (Pure)


    LMS prizes - Whitehead Prize

    Snaith, Nina C (Recipient), 2008

    Prize: Prizes, Medals, Awards and Grants