Jonathan Keating

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Jonathan Peter Keating , also Jon Keating, is a British mathematician. He is a professor at Bristol University .

Keating studied at Oxford University and received his PhD from Bristol University with Michael Berry in 1989 ( Semiclassical properties of cat maps ). He has been in Bristol since 1985 and became a professor there in 1997. In 2001 he became head of the mathematics faculty and in 2010 dean of the faculty of science.

He researches quantum chaos, random matrices and their connections to the Riemann zeta function and other zeta functions. With Berry he pursued an approach to the Riemann Hypothesis about spectral theory (which goes back to ideas of David Hilbert and George Pólya ) and quantum chaos, especially connected with a Hamilton operator of the form , whereby a suitable quantized form has to be chosen, which is so far unclear.

He is a Fellow of the Royal Society (2009). He was an EPSRC Senior Research Fellow from 2004 to 2009 and a Hewlett Packard Fellow from 1995 to 2001. In 2010 he received the Fröhlich Prize of the London Mathematical Society . In 2014 he received a Wolfson Research Merit Award from the Royal Society.

His PhD students include Francesco Mezzadri and Nina Snaith .

Fonts

  • Editor with Igor Lerner, David Khmelnitskii: Supersymmetry and trace formulas: chaos and disorder , Kluwer 1999 (therein with Berry H = xp and the Riemann zeros , pp. 355–367)
  • with Berry: The Riemann zeros and eigenvalue asymptotics , SIAM Review, Volume 41, 1999, pp. 236-266
  • with Snaith: Random matrix theory and , Communications in Mathematical Physics, Volume 214, 2000, pp. 57-89, online
  • with Snaith: Random matrix theory and L-functions at , Communications in Mathematical Physics, Volume 214, 2000, pp. 91-110
  • with Snaith: Random matrices and L-functions , Journal of Physics A, Volume 36, 2003, pp. 2859-2881
  • with J. Brian Conrey , David W. Farmer, MO Rubinstein, Snaith: Integral moments of L-functions , Proceedings of the London Mathematical Society, Volume 91, 2005, pp. 33-104, Arxiv
  • JB Conrey, JP Keating, MO Rubenstein, NC Snaith: Random Matrix Theory and the Fourier Coefficients of Half-Integral-Weight Forms, Experimental Mathematics, Volume 15, 2006, pp. 67-82, Project Euclid
  • with Eugene Bogomolny : Gutzwiller's trace formula and spectral statistics: beyond the diagonal approximation , Phys. Rev. Lett., Vol. 77, 1996, pp. 1472-1475
  • with Bogomolny: Random matrix theory and the Riemann zeros , part 1,2, nonlinearity, volume 8, 1995, 1115-1131, part 2, nonlinearity, volume 9, 1996, pp 911-935

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
  2. ↑ The imaginary parts of the nontrivial zeros are then eigenvalues ​​of a Hermitian operator
  3. ^ Berry Conjecture at Mathworld
  4. ^ Royal Society announces new round of esteemed Wolfson Research Merit Awards at the Royal Society (royalsociety.org); accessed on May 9, 2014
personal data
SURNAME Keating, Jonathan
ALTERNATIVE NAMES Keating, Jonathan Peter (full name); Keating, Jon
BRIEF DESCRIPTION British mathematician
DATE OF BIRTH 20th century