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D-Index & Metrics

Mathematics

D-Index
31
Citations
2995
World Ranking
3398
National Ranking
1326

Martin Scharlemann 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 Martin Scharlemann 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: 83 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: 125 publications — 23rd percentile

23% of scientists in this discipline score the same or lower.

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

Martin Scharlemann 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 Martin Scharlemann 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: 138 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: 31 D-Index — 9th percentile

9% 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

  • 2014 - Fellow of the American Mathematical Society For contributions to low-dimensional topology and knot theory.

Overview

Martin Scharlemann is a researcher affiliated with the University of California, Santa Barbara, United States. Their primary field of study is Mathematics, with a specialized focus on Geometry and Topology. Their work spans multiple subfields including Mathematical Physics, Discrete Mathematics and Combinatorics, Applied Mathematics, and Algebra and Number Theory.

The researcher's main topics of study include:

  • Geometric and Algebraic Topology
  • Mathematical Dynamics and Fractals
  • Finite Group Theory Research
  • Homotopy and Cohomology in Algebraic Topology
  • Advanced Algebra and Geometry
  • Functional Equations Stability Results
  • Advanced Topics in Algebra

Scharlemann's recent scholarly contributions include the following papers:

  • "Uniqueness in Haken's Theorem," 2022, published in The Michigan Mathematical Journal
  • "A strong Haken theorem," 2024, published in Algebraic & Geometric Topology
  • "A Strong Haken's Theorem," 2020, available on arXiv (Cornell University)
  • "One Powell generator is redundant," 2020, published in Proceedings of the American Mathematical Society Series B
  • "Powell's Conjecture on the Goeritz group of S3 is stably true," 2022, available on arXiv (Cornell University)

The frequent publication venues for Scharlemann's work include:

  • arXiv (Cornell University)
  • Algebraic & Geometric Topology
  • The Michigan Mathematical Journal
  • Proceedings of the American Mathematical Society Series B
  • Journal of the Association for Mathematical Research

Collaborative work features frequent coauthors such as Michael J. Freedman and Michael Freedman.

In recognition of their contributions, Scharlemann was named a Fellow of the American Mathematical Society in 2014 for work in low-dimensional topology and knot theory.

Best Publications

  • Producing reducible 3-manifolds by surgery on a knot

    Martin Scharlemann

  • Heegaard splittings of (surface) x I are standard

    Martin Scharlemann;Abigail Thompson

  • Sutured manifolds and generalized Thurston norms

    Martin Scharlemann

  • Link genus and the Conway moves

    Martin Scharlemann;Martin Scharlemann;Abigail Thompson;Abigail Thompson

  • Unknotting number one knots are prime.

    Martin G. Scharlemann

  • Local detection of strongly irreducible Heegaard splittings

    Martin Scharlemann

  • Alternate Heegaard genus bounds distance

    Martin Scharlemann;Maggy Tomova

  • Comparing Heegaard splittings of non-haken 3-manifolds

    Hyam Rubinstein;Martin Scharlemann

  • Thin position for 3-manifolds

    Unknown

  • Heegaard splittings of compact 3-manifolds

    Martin Scharlemann

  • Smooth spheres in ℝ4 with four critical points are standard

    Martin Scharlemann

  • AUTOMORPHISMS OF THE 3-SPHERE THAT PRESERVE A GENUS TWO HEEGAARD SPLITTING

    Martin Scharlemann

  • Thin position and Heegaard splittings of the 3-sphere

    Martin Scharlemann;Abigail Thompson

  • Tunnel number one knots satisfy the poenaru conjecture

    Martin Scharlemann

  • Proximity in the curve complex: boundary reduction and bicompressible surfaces

    Martin Scharlemann

  • Unknotting number, genus, and companion tori

    Martin Scharlemann;Abigail Thompson

  • Detecting unknotted graphs in 3-space

    Martin Scharlemann;Abigail Thompson

  • Finding Disjoint Seifert Surfaces

    Martin Scharlemann;Abigail Thompson

  • THE TUNNEL NUMBER OF THE SUM OF n KNOTS IS AT LEAST n

    Martin Scharlemann;Jennifer Schultens

  • Levelling an unknotting tunnel

    Hiroshi Goda;Martin Scharlemann;Abigail Thompson

  • Thin Position in the Theory of Classical Knots

    Martin Scharlemann

  • EIGHT FACES OF THE POINCARE HOMOLOGY 3-SPHERE

    R.C. Kirby;M.G. Scharlemann

  • Chapter 18 – Heegaard Splittings of Compact 3-Manifolds

    Martin Scharlemann

Frequent Co-Authors

Michael H. Freedman
Michael H. Freedman University of California, Santa Barbara
Matt Jones
Matt Jones University of Bristol

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