World's Best Scientists 2026 revealed!

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Mathematics

D-Index
31
Citations
3991
World Ranking
3342
National Ranking
1312

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Elisabeth M. Werner is affiliated with Case Western Reserve University in the United States. Their research is primarily situated within the field of Mathematics, with a focus on applied mathematics and geometry.

The scientist has contributed extensively to several subfields of study, including:

  • Applied Mathematics
  • Geometry and Topology
  • Computer Graphics and Computer-Aided Design
  • Molecular Biology
  • Mathematical Physics

Their main topics of work can be grouped into the following areas:

  • Point processes and geometric inequalities
  • Geometric Analysis and Curvature Flows
  • Analytic and geometric function theory
  • Mathematical Inequalities and Applications
  • Computational Geometry and Mesh Generation
  • Diffusion and Search Dynamics
  • Mathematics and Applications

Werner has published research in various academic venues. Some of the frequent publication venues include:

  • arXiv (Cornell University)
  • Mathematische Annalen
  • Journal of Geometric Analysis
  • Proceedings of the American Mathematical Society
  • Advances in Mathematics

Selected recent papers authored by Elisabeth M. Werner include:

  • Orbifold Jacobian algebras for invertible polynomials, 2023, Journal of Singularities
  • Convex floating bodies of equilibrium, 2021, Proceedings of the American Mathematical Society
  • Asymptotic normality for random simplices and convex bodies in high dimensions, 2020, Proceedings of the American Mathematical Society
  • Blaschke-Santaló inequality for many functions and geodesic barycenters of measures, 2021, Advances in Mathematics
  • The Convex Hull of Random Points on the Boundary of a Simple Polytope, 2023, Discrete & Computational Geometry

Frequent co-authors collaborating with Werner include:

  • Carsten Schütt
  • Florian Besau
  • Christoph Thäle
  • Matthias Reitzner
  • Joscha Prochno

Elisabeth M. Werner was recognized as a Fellow of the American Mathematical Society in 2013.

Best Publications

  • An analysis of completely positive trace-preserving maps on M2

    Mary Beth Ruskai;Stanislaw Szarek;Stanislaw Szarek;Elisabeth Werner;Elisabeth Werner

  • The convex floating body.

    Carsten Schütt;Elisabeth M. Werner

  • Surface bodies and p-affine surface area

    Carsten Schütt;Carsten Schütt;Elisabeth M. Werner;Elisabeth M. Werner

  • Relative entropy of cone measures and Lp centroid bodies

    Grigoris Paouris;Elisabeth M. Werner;Elisabeth M. Werner

  • New Lp affine isoperimetric inequalities

    Elisabeth M. Werner;Deping Ye

  • On the p-Affine Surface Area

    Mathieu Meyer;Elisabeth Werner;Elisabeth Werner

  • Mahler's Conjecture and Curvature

    Shlomo Reisner;Carsten Schütt;Elisabeth M. Werner;Elisabeth M. Werner

  • Hastings' additivity counterexample via Dvoretzky's theorem

    Guillaume Aubrun;Stanislaw Szarek;Elisabeth Werner

  • Hastings's Additivity Counterexample via Dvoretzky's Theorem

    Guillaume Aubrun;Stanisław Szarek;Stanisław Szarek;Elisabeth M Werner;Elisabeth M Werner

  • The Santaló-regions of a convex body

    Mathieu Meyer;Elisabeth Werner;Elisabeth Werner

  • Rényi divergence and Lp-affine surface area for convex bodies

    Elisabeth M. Werner;Elisabeth M. Werner

  • Polytopes with Vertices Chosen Randomly from the Boundary of a Convex Body

    Carsten Schütt;Elisabeth Werner;Elisabeth Werner

  • Relative entropy of cone measures and $L_p$ centroid bodies

    Grigoris Paouris;Elisabeth M. Werner

  • A Nonsymmetric Correlation Inequality for Gaussian Measure

    Stanislaw J. Szarek;Elisabeth Werner

  • Inequalities for mixed p -affine surface area

    Elisabeth M. Werner;Elisabeth M. Werner;Deping Ye

  • Illumination bodies and affine surface area

    Elisabeth Werner

  • Functional affine-isoperimetry and an inverse logarithmic Sobolev inequality

    S. Artstein-Avidan;B. Klartag;C. Schütt;E. Werner;E. Werner

  • On $L_p$-affine surface areas

    Elisabeth M. Werner

  • Approximation of the Euclidean ball by polytopes

    Monika Ludwig;Carsten Schütt;Elisabeth Werner

  • Divergence for s-concave and log concave functions

    Umut Caglar;Elisabeth M. Werner

  • An Analysis of Completely-Positive Trace-Preserving Maps on 2x2 Matrices

    Mary Beth Ruskai;Stanislaw Szarek;Elisabeth Werner

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