What is he best known for?
The fields of study he is best known for:
- Geometry
- Mathematical analysis
- Algebra
His primary scientific interests are in Combinatorics, Convex body, Brascamp–Lieb inequality, Geometry and Isoperimetric inequality.
Convex body is frequently linked to Mathematical analysis in his study.
The Brascamp–Lieb inequality study combines topics in areas such as Euclidean ball and Orthographic projection.
The concepts of his Geometry study are interwoven with issues in Monotonic function and Ordered geometry.
His Isoperimetric inequality research is multidisciplinary, relying on both Image, Concentration of measure, Linear subspace and Affine transformation.
His John ellipsoid study integrates concerns from other disciplines, such as Mixed volume and Tetrahedron.
His most cited work include:
- An Elementary Introduction to Modern Convex Geometry (444 citations)
- Sharp uniform convexity and smoothness inequalities for trace norms (286 citations)
- Logarithmically concave functions and sections of convex sets in $R^{n}$ (260 citations)
What are the main themes of his work throughout his whole career to date?
Keith Ball mainly investigates Combinatorics, Convex body, Mathematical analysis, Pure mathematics and Regular polygon.
His Combinatorics research includes themes of Norm, John ellipsoid and Geometry.
Keith Ball has researched Geometry in several fields, including Convex geometry, Absolute geometry and Unit sphere.
His research in Convex body intersects with topics in Image, Brascamp–Lieb inequality, Affine transformation, Isoperimetric inequality and Orthographic projection.
His Isoperimetric inequality research is multidisciplinary, incorporating perspectives in Integral geometry and Calculus.
His Second derivative and Semigroup study, which is part of a larger body of work in Mathematical analysis, is frequently linked to Entropy power inequality, Isotropy and Radial basis function interpolation, bridging the gap between disciplines.
He most often published in these fields:
- Combinatorics (65.08%)
- Convex body (38.10%)
- Mathematical analysis (23.81%)
What were the highlights of his more recent work (between 2010-2020)?
- Entropy power inequality (9.52%)
- Mathematical analysis (23.81%)
- Combinatorics (65.08%)
In recent papers he was focusing on the following fields of study:
His primary areas of study are Entropy power inequality, Mathematical analysis, Combinatorics, Rational function and Pure mathematics.
In the subject of general Mathematical analysis, his work in Second derivative, Spectral gap and Semigroup is often linked to Isotropy and Fisher information, thereby combining diverse domains of study.
Keith Ball studies Unit circle which is a part of Combinatorics.
As a part of the same scientific study, Keith Ball usually deals with the Rational function, concentrating on Riemann zeta function and frequently concerns with Riemann hypothesis.
His Pure mathematics study combines topics from a wide range of disciplines, such as Binary tree and Linear complex structure.
Keith Ball combines subjects such as Maximum entropy spectral estimation and Rényi entropy with his study of Conditional entropy.
Between 2010 and 2020, his most popular works were:
- Entropy jumps for isotropic log-concave random vectors and spectral gap (38 citations)
- The Ribe Programme (33 citations)
- Stability of some versions of the Prékopa-Leindler inequality (26 citations)
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