- Home
- Best Scientists - Mathematics
- Keith Ball

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
30
Citations
5,110
58
World Ranking
2685
National Ranking
182

- 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.

- 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)

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.

- Combinatorics (65.08%)
- Convex body (38.10%)
- Mathematical analysis (23.81%)

- Entropy power inequality (9.52%)
- Mathematical analysis (23.81%)
- Combinatorics (65.08%)

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.

- 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)

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

An Elementary Introduction to Modern Convex Geometry

Keith M. Ball.

Flavors of Geometry, 1997, ISBN 0-521-62048-1, págs. 1-58 **(1997)**

695 Citations

Logarithmically concave functions and sections of convex sets in $R^{n}$

Keith Ball.

Studia Mathematica **(1988)**

405 Citations

Volume Ratios and a Reverse Isoperimetric Inequality

Keith Ball;Keith Ball.

Journal of The London Mathematical Society-second Series **(1991)**

374 Citations

Sharp uniform convexity and smoothness inequalities for trace norms

Keith Ball;Eric A. Carlen;Elliott H. Lieb.

Inventiones Mathematicae **(1994)**

360 Citations

Volumes of sections of cubes and related problems

Keith Ball;Keith Ball.

**(1989)**

256 Citations

Ellipsoids of maximal volume in convex bodies

Keith Ball.

Geometriae Dedicata **(1992)**

253 Citations

An elementary introduction to modern convex geometry, in flavors of geometry

KM Ball.

In: Silvio, L, (ed.) Flavors of Geometry. Cambridge University Press (1997) **(1997)**

238 Citations

Irrationalité d’une infinité de valeurs de la fonction zêta aux entiers impairs

Keith Ball;Tanguy Rivoal.

Inventiones Mathematicae **(2001)**

200 Citations

MARKOV CHAINS, RIESZ TRANSFORMS AND LIPSCHITZ MAPS

K. Ball.

Geometric and Functional Analysis **(1992)**

190 Citations

Solution of Shannon's problem on the monotonicity of entropy

Shiri Artstein;Keith M. Ball;Franck Barthe;Assaf Naor.

Journal of the American Mathematical Society **(2004)**

176 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Princeton University

Princeton University

Rutgers, The State University of New Jersey

Tel Aviv University

École Normale Supérieure

University of Edinburgh

Georgetown University

Brown University

Shandong Normal University

ETH Zurich

Oak Ridge National Laboratory

Imperial College London

James Cook University

University of Padua

French National Museum of Natural History

National Institutes of Health

University of Florida

Centre national de la recherche scientifique, CNRS

Otto-von-Guericke University Magdeburg

University of Exeter

Something went wrong. Please try again later.