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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

Tutorial Office Hours: Week 5: Thursday 1:00-2:00

Week 6: Thursday 2:00-3:00

Week 7: Wednesday 1:00-2:00

Week 8: Thursday 1:00-2:00

Weeks 9 and 10: Sign up

Lecture Course Office Hours: (subject to exam alteration)

MA137: June 5th 2:00-4:00

Teaching Responsibilities 2018/19:
Term 2: MA137 Math Analysis II, MA3J2 Combinatorics II

Current Lecture Notes: MA3J2 Combinatorics II, MA137 Analysis II

Old Lecture Notes: 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, to appear. PDF

Rational approximations to the zeta function II, preprint. PDF

Hadamard Matrices and 1-Factorisation, Mathematika, to appear. PDF

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