Professor Keith Ball, FRS FRSE
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Keith BallProfessor of Mathematics |
Teaching Responsibilities 2022/23:
Before Term 1: MA1K2 Refresher Mathematics
Term 1: MA3J2 Combinatorics II
Term 2: MA139 Analysis II
Current Lecture Notes: MA139 Analysis II, MA1K2 Refresher Maths, MA3J2 Combinatorics 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, 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