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Mathematics

D-Index
48
Citations
9628
World Ranking
1204
National Ranking
93

Research.com Recognitions

  • 2009 - Fellow of the Royal Society, United Kingdom

Overview

Jon P Keating is affiliated with the University of Oxford in the United Kingdom. Their research primarily spans the field of Mathematics, with a focus on several subfields including Algebra and Number Theory, Mathematical Physics, Statistics and Probability, Discrete Mathematics and Combinatorics, and Geometry and Topology.

Their scholarly output includes notable publications such as:

  • The loss surfaces of neural networks with general activation functions, 2021, Journal of Statistical Mechanics Theory and Experiment
  • On the Joint Moments of the Characteristic Polynomials of Random Unitary Matrices, 2021, International Mathematics Research Notices
  • On the moments of the moments of ζ(1/2 + it), 2021, Journal of Number Theory
  • Moments of quadratic twists of elliptic curveL-functions over function fields, 2020, Algebra & Number Theory
  • A Spin Glass Model for the Loss Surfaces of Generative Adversarial Networks, 2022, Journal of Statistical Physics

Their work has been disseminated through several frequent publication venues, including:

  • arXiv (Cornell University)
  • Journal of Physics A Mathematical and Theoretical
  • International Mathematics Research Notices
  • Journal of Number Theory
  • Nonlinearity

Keating's main research topics encompass:

  • Advanced Algebra and Geometry
  • Analytic Number Theory Research
  • Random Matrices and Applications
  • Advanced Combinatorial Mathematics
  • Advanced Mathematical Identities
  • Geometry and complex manifolds
  • Statistical Mechanics and Entropy

Their collaborations include frequent co-authorships with:

  • Theodoros Assiotis
  • Nicholas P Baskerville
  • Francesco Mezzadri
  • Hung M. Bui
  • Alexandra Florea

Jon P Keating was recognized with the award of Fellow of the Royal Society, United Kingdom in 2009.

Best Publications

  • Random Matrix Theory and ζ(1/2+it)

    Jon P Keating;Nina C Snaith

  • Integral moments of L-functions

    J B Conrey;DW Farmer;Jon P Keating;MO Rubinstein

  • The Riemann Zeros and Eigenvalue Asymptotics

    M. V. Berry;J. P. Keating

  • Random matrix theory and L-functions at s=1/2

    Jon P Keating;Nina C Snaith

  • Gutzwiller's Trace Formula and Spectral Statistics: Beyond the Diagonal Approximation.

    EB Bogomolny;JP Keating

  • A rule for quantizing chaos

    Michael V Berry;Jon P Keating

  • Analysis on graphs and its applications

    Pavel Exner;Jonathan Keating;Peter Kuchment;Toshikazu Sunada

  • On the Characteristic Polynomial of a Random Unitary Matrix

    CP Hughes;Jon P Keating;Neil O'Connell

  • A New Asymptotic Representation for $\zeta $($ rac{1}{2}$+it) and Quantum Spectral Determinants

    Michael Victor Berry;J. P. Keating

  • Freezing transitions and extreme values: random matrix theory, and disordered landscapes

    Yan V. Fyodorov;Jonathan P. Keating

  • Freezing transition, characteristic polynomials of random matrices, and the Riemann zeta function.

    Yan V. Fyodorov;Ghaith A. Hiary;Jonathan P. Keating

  • H = xp and the Riemann Zeros

    M. V. Berry;J. P. Keating

  • Random matrix theory and the Riemann zeros. I. Three- and four-point correlations

    EB Bogomolny;Jon P Keating

  • Random Matrix Theory and Entanglement in Quantum Spin Chains

    Jon P Keating;Francesco Mezzadri

  • Random matrices and L-functions

    Jon P Keating;Nina C Snaith

  • Correlations in the actions of periodic orbits derived from quantum chaos.

    N Argaman;N Argaman;FM Dittes;FM Dittes;E Doron;E Doron;Jon P Keating

  • Autocorrelation of Random Matrix Polynomials

    J B Conrey;DW Farmer;Jon P Keating;MO Rubinstein

  • Localization and its consequences for quantum walk algorithms and quantum communication

    Jon P Keating;Noah Linden;Jonathan C F Matthews;AJ Winter

  • Random matrix theory and the Riemann zeros II: n -point correlations

    EB Bogomolny;Jon P Keating

  • Freezing Transitions and Extreme Values: Random Matrix Theory, $\zeta(1/2+it)$, and Disordered Landscapes

    Yan V. Fyodorov;Jonathan P. Keating

  • Entanglement in quantum spin chains, symmetry classes of random matrices, and conformal field theory.

    Jon P Keating;Francesco Mezzadri

Frequent Co-Authors

Michael V Berry
Michael V Berry University of Bristol
Zeév Rudnick
Zeév Rudnick Tel Aviv University
Gregory Berkolaiko
Gregory Berkolaiko Texas A&M University
Yan V. Fyodorov
Yan V. Fyodorov King's College London
Jens Marklof
Jens Marklof University of Bristol
Heidy M Mader
Heidy M Mader University of Bristol
Jeremy C Phillips
Jeremy C Phillips University of Bristol
Andreas Winter
Andreas Winter University of Cologne
Daniel N. Rockmore
Daniel N. Rockmore Dartmouth College
John Lafferty
John Lafferty Yale University

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