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Elisabeth M. Werner

Elisabeth M. Werner

Case Western Reserve University
United States

Research.com Recognitions

Awards & Achievements

2013 - Fellow of the American Mathematical Society

Overview

What is she best known for?

The fields of study she is best known for:

  • Geometry
  • Mathematical analysis
  • Real number

Her scientific interests lie mostly in Affine transformation, Combinatorics, Pure mathematics, Regular polygon and Mathematical analysis. Her Affine transformation study frequently involves adjacent topics like Surface. The study of Combinatorics is intertwined with the study of Convex body in a number of ways.

Her Convex body research is multidisciplinary, incorporating elements of Affine differential geometry, Euclidean geometry, Product and Isoperimetric inequality. Elisabeth M. Werner has included themes like Additive function, Curvature and Dvoretzky's theorem in her Pure mathematics study. Her Regular polygon study frequently links to related topics such as Counterexample.

Her most cited work include:

  • An analysis of completely positive trace-preserving maps on M2 (267 citations)
  • An analysis of completely positive trace-preserving maps on M2 (267 citations)
  • The convex floating body. (128 citations)

What are the main themes of her work throughout her whole career to date?

Elisabeth M. Werner spends much of her time researching Combinatorics, Regular polygon, Pure mathematics, Affine transformation and Convex body. The concepts of her Combinatorics study are interwoven with issues in Surface, Centroid, Random variable and Probability measure. In general Regular polygon, her work in Concave function is often linked to Ellipsoid linking many areas of study.

Her study in Pure mathematics is interdisciplinary in nature, drawing from both Convex geometry, Mathematical analysis and Polar. Her Affine transformation study combines topics from a wide range of disciplines, such as Surface, Euclidean geometry, Unit sphere and Isoperimetric inequality. Her work deals with themes such as Affine differential geometry, Boundary, Topology and Product, which intersect with Convex body.

She most often published in these fields:

  • Combinatorics (67.10%)
  • Regular polygon (66.45%)
  • Pure mathematics (49.68%)

What were the highlights of her more recent work (between 2017-2021)?

  • Regular polygon (66.45%)
  • Combinatorics (67.10%)
  • Polytope (28.39%)

In recent papers she was focusing on the following fields of study:

Her primary areas of investigation include Regular polygon, Combinatorics, Polytope, Convex body and Surface. Elisabeth M. Werner has included themes like Class and Pure mathematics, Affine transformation in her Regular polygon study. Elisabeth M. Werner works mostly in the field of Combinatorics, limiting it down to concerns involving Probability measure and, occasionally, Symmetric difference.

Her biological study spans a wide range of topics, including Expected value, Upper and lower bounds and Boundary. Her work in Convex body covers topics such as Metric which are related to areas like Flag and Hyperbolic space. Elisabeth M. Werner focuses mostly in the field of Surface, narrowing it down to matters related to Euclidean geometry and, in some cases, Measure, Affine geometry, Mathematical analysis and Orientation.

Between 2017 and 2021, her most popular works were:

  • Halfspace depth and floating body (16 citations)
  • The floating body in real space forms (14 citations)
  • The Surface Area Deviation of the Euclidean Ball and a Polytope (12 citations)

In her most recent research, the most cited papers focused on:

  • Geometry
  • Mathematical analysis
  • Real number

Her primary scientific interests are in Regular polygon, Combinatorics, Surface, Polytope and Probability measure. The various areas that she examines in her Surface study include Measure, Mathematical analysis, Affine transformation, Euclidean geometry and Affine geometry. The study incorporates disciplines such as Symmetry and Generalization in addition to Affine geometry.

Elisabeth M. Werner has researched Polytope in several fields, including Upper and lower bounds, Convex body and Metric. Her Probability measure research is multidisciplinary, relying on both Class, Central limit theorem, Cone and Independent and identically distributed random variables. Her study on Euclidean space is covered under Pure mathematics.

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.

Best Publications

An analysis of completely positive trace-preserving maps on M2

Mary Beth Ruskai;Stanislaw Szarek;Stanislaw Szarek;Elisabeth Werner;Elisabeth Werner.
Linear Algebra and its Applications (2002)

408 Citations

The convex floating body.

Carsten Schütt;Elisabeth M. Werner.
Mathematica Scandinavica (1990)

203 Citations

Surface bodies and p-affine surface area

Carsten Schütt;Carsten Schütt;Elisabeth M. Werner;Elisabeth M. Werner.
Advances in Mathematics (2004)

195 Citations

Relative entropy of cone measures and Lp centroid bodies

Grigoris Paouris;Elisabeth M. Werner;Elisabeth M. Werner.
Proceedings of The London Mathematical Society (2012)

187 Citations

New Lp affine isoperimetric inequalities

Elisabeth M. Werner;Deping Ye.
Advances in Mathematics (2008)

175 Citations

On the p-Affine Surface Area

Mathieu Meyer;Elisabeth Werner;Elisabeth Werner.
Advances in Mathematics (2000)

153 Citations

Hastings' additivity counterexample via Dvoretzky's theorem

Guillaume Aubrun;Stanislaw Szarek;Elisabeth Werner.
arXiv: Quantum Physics (2010)

109 Citations

Mahler's Conjecture and Curvature

Shlomo Reisner;Carsten Schütt;Elisabeth M. Werner;Elisabeth M. Werner.
International Mathematics Research Notices (2012)

106 Citations

Hastings's Additivity Counterexample via Dvoretzky's Theorem

Guillaume Aubrun;Stanisław Szarek;Stanisław Szarek;Elisabeth M Werner;Elisabeth M Werner.
Communications in Mathematical Physics (2011)

101 Citations

The Santaló-regions of a convex body

Mathieu Meyer;Elisabeth Werner;Elisabeth Werner.
Transactions of the American Mathematical Society (1998)

95 Citations

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