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Professor Keith Ball, FRS FRSE

   Keith Ball

Keith Ball

Professor of Mathematics
Office: B1.33
Phone: +44 (0)24 7652 3736

Teaching Responsibilities 2023/24:

Before Term 1: MA1K2 Refresher Mathematics

Term 1:

Term 2: MA139 Analysis II

Current Lecture Notes: MA139 Analysis II, MA1K2 Refresher Maths,

Old Lecture Notes: MA3J2 Combinatorics II, MA241 Combinatorics,

Research Interests:

Functional Analysis, High-dimensional and Discrete Geometry, Information Theory, Analytic Number Theory

Selected publications:

Entropy jumps in the presence of a spectral gap, Duke Math. J. 119 (2003), 41-64. PDF

A solution of Shannon’s problem on the monotonicity of entropy, J. A. M. S. 17 (2004), 975-982. PDF

A sharp combinatorial version of Vaaler's Theorem, Bull. LMS 41 (2009), 853-862. PDF

Chebyshev constants for the unit circle, Bull. LMS 45 (2012), 236-248.

L1 smoothing for the Ornstein-Uhlenbeck semigroup, Mathematika 59/1 (2013), 160-168. PDF

The Ribe programme, Seminaire Bourbaki, 1047 (2012). PDF

A reverse entropy power inequality for log-concave random vectors, Studia Mathematica, 235 (2016). PDF

Rational approximations to the zeta function, Proc. Royal Soc. A, 475 (2019). PDF

Rational approximations to the zeta function II, preprint. PDF

Hadamard Matrices and 1-Factorisation, Mathematika 65 (2019). PDF

The Legacy of Jean Bourgain in Geometric Functional Analysis, Bull. AMS (2021). PDF

A very short proof of the functional equation for zeta, Mathematika (2022). PDF

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