World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

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

Karsten Grove publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Karsten Grove sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 82 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 82 publications — 4th percentile

4% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Karsten Grove D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Karsten Grove sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 137 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 36 D-Index — 29th percentile

29% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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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