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D-Index & Metrics

Mathematics

D-Index
36
Citations
4534
World Ranking
2677
National Ranking
1098

Research.com Recognitions

  • 2015 - Fellow of the American Mathematical Society For contributions to Riemannian geometry.

Overview

Karsten Grove is affiliated with the University of Notre Dame in the United States and specializes in the field of Mathematics. Their research extensively covers topics related to geometric and algebraic topology, geometric analysis and curvature flows, and various aspects of algebraic geometry and number theory.

Their work is distributed across subfields such as applied mathematics, geometry and topology, and mathematical physics. This demonstrates a focus on both the theoretical and applied aspects of mathematical sciences.

Grove has published research in several notable academic venues including:

  • Annales de l'institut Fourier
  • Geometry & Topology

Recent papers by Karsten Grove include:

  • "Alexandrov spaces with maximal radius," 2022, published in Geometry & Topology
  • "Almost non-negative curvature and rational ellipticity in cohomogeneity two," 2020, published in Annales de l'institut Fourier
  • "The Boundary Conjecture for Leaf Spaces," 2020, published in Annales de l'institut Fourier

Their research topics span multiple areas, including:

  • Geometric and algebraic topology
  • Geometric analysis and curvature flows
  • Point processes and geometric inequalities
  • Homotopy and cohomology in algebraic topology
  • Algebraic geometry and number theory

Collaboration has been an element of Grove's work, with frequent coauthors such as:

  • Peter Petersen
  • Burkhard Wilking
  • Joseph Elwood Yeager
  • Adam Moreno

In recognition of their contributions to the field, Karsten Grove was named a Fellow of the American Mathematical Society in 2015 for contributions to Riemannian geometry.

Best Publications

  • A generalized sphere theorem

    Karsten Grove;Katsuhiro Shiohamas

  • Curvature and symmetry of Milnor spheres

    Karsten Grove;Wolfgang Ziller

  • Positively curved manifolds with maximal symmetry-rank

    Karsten Grove;Catherine Searle

  • Bounding homotopy types by geometry

    Karsten Grove;Peter Petersen

  • How to Conjugate C1-Close Group Actions

    Karsten Grove;Hermann Karcher

  • Geometric finiteness theorems via controlled topology

    Karsten Grove;Peter Petersen;Jyh-Yang Wu

  • Diagonalizing matrices over C(X)

    Karsten Grove;Gert Kjærgård Pedersen

  • Cohomogeneity one manifolds with positive Ricci curvature

    Karsten Grove;Wolfgang Ziller

  • Critical point theory for distance functions

    K. Grove

  • Positively curved cohomogeneity one manifolds and 3-Sasakian geometry

    Karsten Grove;Burkhard Wilking;Wolfgang Ziller

  • Jacobi Fields and Finsler Metrics on Compact Lie Groups with an Application to Differentiable Pinching Problems.

    Karsten Grove;Hermann Karcher;Ernst A. Ruh

  • Dupin hypersurfaces, group actions and the double mapping cylinder

    Karsten Grove;Stephen Halperin

  • Group actions and curvature

    Karsten Grove;Hermann Karcher;Ernst A. Ruh

  • The low-dimensional metric foliations of Euclidean spheres

    Detlef Gromoll;Karsten Grove

  • An Exotic $${T_{1}\mathbb{S}^4}$$ with Positive Curvature

    Karsten Grove;Luigi Verdiani;Wolfgang Ziller

  • Manifolds near the boundary of existence

    Karsten Grove;Peter Petersen

  • A knot characterization and 1-connected nonnegatively curved 4-manifolds with circle symmetry

    Karsten Grove;Burkhard Wilking

  • On Metrics on S2 All of Whose Geodesics Are Closed.

    Detlef Gromoll;Karsten Grove

  • A generalization of Berger's rigidity theorem for positively curved manifolds

    Detlef Gromoll;Karsten Grove

  • GEOMETRY OF, AND VIA, SYMMETRIES

    Karsten Grove

Frequent Co-Authors

Wolfgang Ziller
Wolfgang Ziller University of Pennsylvania
Stephen Halperin
Stephen Halperin University of Maryland, College Park
Gert K. Pedersen
Gert K. Pedersen University of Copenhagen
Jonathan Rosenberg
Jonathan Rosenberg University of Maryland, College Park

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