Keith Ball

Keith Ball is Professor of Mathematics at the University of Warwick and a Fellow of the Royal Society. His research explores functional analysis, high-dimensional geometry, and information theory, with significant contributions to entropy inequalities and combinatorial approximations.

Key research themes:

• Geometric manifestations of entropy and information
• Combinatorial methods in functional analysis
• High-dimensional phenomena and concentration of measure
• Analytic approaches to number theory

Notable publications include solutions to Shannon's entropy monotonicity problem and studies on zeta function approximations. He teaches measure theory and analysis, maintaining active research collaborations internationally.