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Professor Keith Ball, FRS FRSE

   Keith Ball

Keith Ball

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

Teaching Responsibilities 2020/21:

Before Term 1: MA1K2 Refresher Mathematics
Term 2: MA3J2 Combinatorics II

Current Lecture Notes: MA1K2 Refresher Maths, MA3J2 Combinatorics II

Old Lecture Notes: MA241 Combinatorics, MA137 Analysis II

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

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