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# Professor Jon Keating

## Professor Jon Keating

B.A.(Oxon.), Ph.D.(Bristol)

Henry Overton Wills Professor of Mathematics

Chair of the Heilbronn Institute for Mathematical Research
## Summary

## Biography

## Memberships

### Organisations

### Mathematical Physics

### Research themes

## Links

## Recent publications

- All details
- Overview
- About
- Research
- Publications

B.A.(Oxon.), Ph.D.(Bristol)

Chair of the Heilbronn Institute for Mathematical Research

Office Room 4.05

Howard House,

Queen's Ave,
Bristol
BS8 1SD

(See a map)

+44 (0) 117 928 7975

j.p.keating@bristol.ac.uk

I am interested in random matrix theory, quantum chaos, and connections with number theory.

I supervise PhD projects in all of these areas.

**Appointments**

Royal Society Research Assistant, University of Bristol, 1989 – 1991.

Lecturer in Applied Mathematics, University of Manchester, 1991 – 1995.

Reader in Applied Mathematics, University of Bristol, 1995 – 1997

BRIMS Research Fellow, Hewlett-Packard Laboratories, Bristol, 1995 – 2001.

Professor of Mathematical Physics, 1997 – 2012.

Henry Overton Wills Professor of Mathematics, 2012 – present.

Head of Department, 2001 – 2004.

EPSRC Senior Research Fellow, 2004 – 2009.

Associate Director of the Heilbronn Institute, 2004 – 2008.

Dean of Science, University of Bristol, 2009 – 2013.

Chair of the Heilbronn Institute for Mathematical Research, 2015 - present.

**Academic Qualifications**

BA (First Class) in Physics (University of Oxford, 1985).

Ph.D. in Theoretical Physics (University of Bristol, 1989 – advised by Professor Sir Michael Berry FRS).

**Awards**

Hewlett-Packard BRIMS Research Fellow, 1995 – 2001.

EPSRC Senior Research Fellow, 2004 – 2009.

Elected Fellow of the Royal Society, 2009.

Frölich Prize, 2010.

Eisenbud Chair, MSRI/Berkeley, March-May 2012.

Royal Society Wolfson Research Merit Award, 2014 – 2019.

Royal Society Leverhulme Senior Research Fellowship, 2014 – 2015.

ERC Advanced Grant: LogCoRM

**Academic Journals**

Member (1996 – 2004) of the Editorial Board of *Journal of Physics A*.

Member (1997 – 2004) of the Editorial Board of *Nonlinearity*.

Joint Editor-in-Chief (2004 – 2012) of *Nonlinearity*.

Member (2003 – 2017) of the Editorial Board of *Applied Mathematics Research Express.*

Member (2007 – present) of the Editorial Board of *Journal of Mathematical Physics.*

**Major Invited Lectures**

International Conference on Dynamical Systems and Chaos, Tokyo, May 1994 (Plenary Lecture).

American Mathematical Society Symposium on ‘The Riemann Hypothesis’, Seattle USA, August 1996 (Invited Lecture).

BMC, Manchester, April 1998 (Invited Lecture).

BAMC2K, Manchester, April 2000 (Plenary Lecture).

Nobel Symposium on Quantum Chaos, Sweden, June 2000 (Invited Participant).

3rd European Congress of Mathematics, Barcelona July 2000 (Invited Lecture).

13^{th} International Congress on Mathematical Physics, London, July 2000 (Plenary Lecture, YRS).

Annual Meeting of the German Physical Society, Bonn, Germany, March 2001 (Main Lecture).

SIAM50, Philadelphia, USA July 2002 (Invited Keynote Lecture) [50^{th} anniversary meeting of the Society for Industrial and Applied Mathematics].

International Conference on Theoretical Physics, ‘TH-2002’, Paris, France, July 2002 (Invited Keynote Lecture).

2003-4 Collingwood Memorial Lecture, Department of Mathematics, University of Durham.

5^{th} International Congress on Industrial and Applied Mathematics, Sydney, Australia, July 2003 (Plenary Lecture).

4th European Congress of Mathematics, Stockholm, June 2004 (Invited Lecture).

Distinguished Lecture Series – Leçon de mathématiques d’aujourd’hui – University of Bordeaux, January 2005.

Distinguished Lecture Series – Frontiers in Mathematics – Texas A&M University, March 2007.

Joint Mathematics-Physics Distinguished Lecture Series, Technion, Haifa, Israel, May 2007.

Coulter McDowell Lecture, Royal Holloway, University of London, 2009.

Distinguished Lecture Series, Baylor University, November 2013.

Workshop on Arithmetic Statistics over Finite Fields and Function Fields, American Institute of Mathematics, January 2014 (Invited Keynote Lecture).

Workshop on Statistics and Number Theory, Centre de Recherches Mathématiques, Montreal, September 2014 (Invited Lecture).

Analysis, Spectra and Number Theory – Conference Honoring Peter Sarnak, Princeton, December 2014 (Invited Lecture).

Invited Lecture Series, Courant Institute, New York, February 2015.

International Conference on Number Theory and Physics, Rio de Janeiro, June 2015 (Plenary Lecture).

- Andrade, JC, Gonek, SM & Keating, J, 2018, ‘Truncated Product Representations for L-Functions in the Hyperelliptic Ensemble’.
*Mathematika*, vol 64., pp. 137-158 - Keating, J, 2017, ‘Random matrices and number theory: some recent themes’. in:
*Stochastic Processes and Random Matrices: Lecture Notes of the Les Houches Summer School: Volume 104, July 2015*. - Conrey, B & Keating, JP, 2017, ‘Averages of ratios of the Riemann zeta-function and correlations of divisor sums’.
*Nonlinearity*, vol 30., pp. R67-R80 - Keating, J, Rodgers, B, Roditty-Gershon, E & Rudnick, Z, 2017, ‘Sums of divisor functions in
**F**_{q}[*t*] and matrix integrals’.*Mathematische Zeitschrift*. - Keating, JP & Rudnick, Z, 2016, ‘Squarefree polynomials and möbius values in short intervals and arithmetic progressions’.
*Algebra and Number Theory*, vol 10., pp. 375-420 - Bui, HM, Keating, JP & Smith, DJ, 2016, ‘On the variance of sums of arithmetic functions over primes in short intervals and pair correlation for L-functions in the Selberg class’.
*Journal of the London Mathematical Society*, vol 94., pp. 161-185 - Keating, JP & Roditty-Gershon, E, 2016, ‘Arithmetic Correlations Over Large Finite Fields’.
*International Mathematics Research Notices*, vol 2016., pp. 860-874 - Conrey, B & Keating, JP, 2016, ‘Pair correlation and twin primes revisited’.
*Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences*, vol 472. - Bhargava, M, Cremona, JE, Fisher, T, Jones, NG & Keating, JP, 2016, ‘What is the probability that a random integral quadratic form in nvariables has an integral zero?’.
*International Mathematics Research Notices*, vol 2016., pp. 3828-3848 - Conrey, B & Keating, JP, 2016, ‘Moments of zeta and correlations of divisor-sums: IV’.
*Research in Number Theory*, vol 2.

View complete publications list in the University of Bristol publications system

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