What is he best known for?
The fields of study he is best known for:
- Quantum mechanics
- Mathematical analysis
- Algebra
His primary scientific interests are in Random matrix, Mathematical physics, Riemann hypothesis, Mathematical analysis and Riemann zeta function.
His study on Random matrix also encompasses disciplines like
- Limit which intersects with area such as Matrix,
- Combinatorics that intertwine with fields like Autocorrelation matrix.
His research integrates issues of Trace, Quantum mechanics, Quantum entanglement, Semiclassical physics and Entropy of entanglement in his study of Mathematical physics.
His research investigates the connection between Riemann hypothesis and topics such as Eigenvalues and eigenvectors that intersect with problems in Conjecture, Discrete mathematics, Prime number and Quantum.
His biological study spans a wide range of topics, including Gaussian measure, Central limit theorem and Covariance function.
As a member of one scientific family, Jon P Keating mostly works in the field of Riemann zeta function, focusing on Distribution and, on occasion, Statistical mechanics.
His most cited work include:
- Random Matrix Theory and ζ(1/2+it) (711 citations)
- Integral moments of L-functions (318 citations)
- Random matrix theory and L-functions at s=1/2 (314 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of investigation include Random matrix, Semiclassical physics, Mathematical physics, Quantum mechanics and Quantum.
His research integrates issues of Riemann zeta function, Mathematical analysis, Limit and Pure mathematics in his study of Random matrix.
His research in Semiclassical physics focuses on subjects like Dynamical billiards, which are connected to Degeneracy.
His work carried out in the field of Mathematical physics brings together such families of science as Trace, Quantum entanglement, Phase space and Spectrum.
His Quantum mechanics research integrates issues from Poisson distribution and Statistical physics.
His Quantum study also includes fields such as
- Eigenfunction which is related to area like Ergodic theory and Quantum ergodicity,
- Fourier transform that intertwine with fields like Form factor.
He most often published in these fields:
- Random matrix (35.20%)
- Semiclassical physics (29.05%)
- Mathematical physics (27.37%)
What were the highlights of his more recent work (between 2014-2021)?
- Combinatorics (11.73%)
- Pure mathematics (15.64%)
- Discrete mathematics (8.38%)
In recent papers he was focusing on the following fields of study:
His scientific interests lie mostly in Combinatorics, Pure mathematics, Discrete mathematics, Random matrix and Degree.
His research on Combinatorics also deals with topics like
- Random variable which connect with Branching random walk, Explicit formulae, Random field, Random walk and Integer,
- Unitary matrix and related Unit circle, Characteristic polynomial and Gaussian,
- Unitary group, Rational function, Series, Riemann zeta function and Dirichlet series most often made with reference to Divisor function.
His Pure mathematics study is mostly concerned with Riemann Xi function and Riemann hypothesis.
His study in Random matrix is interdisciplinary in nature, drawing from both Universality and Central limit theorem.
In his study, Arithmetic function, Elliptic curve, Limit and Conjugacy class is inextricably linked to Arithmetic, which falls within the broad field of Degree.
The various areas that Jon P Keating examines in his Mathematical physics study include Quantum, Theoretical computer science, Eigenvalues and eigenvectors and Ground state.
Between 2014 and 2021, his most popular works were:
- Spectra and Eigenstates of Spin Chain Hamiltonians (63 citations)
- Sums of divisor functions in Fq[t] and matrix integrals (34 citations)
- Sums of divisor functions in $F_{q}[t]$ and matrix integrals (24 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Mathematical analysis
- Algebra
Jon P Keating spends much of his time researching Combinatorics, Divisor function, Symmetric function, Matrix and Unitary group.
His Combinatorics research incorporates elements of Moment, Unitary matrix, Characteristic polynomial and Random variable.
Jon P Keating interconnects Asymptotic formula, Dirichlet series, Riemann hypothesis, Riemann zeta function and Series in the investigation of issues within Divisor function.
His Symmetric function study incorporates themes from Random matrix, Central limit theorem, Representation theory and Invariant.
His Matrix research includes themes of Discrete mathematics and Integral element.
He has researched Unitary group in several fields, including Rational function, Field, Divisor, Finite field and Function.
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