World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
31
Citations
7980
World Ranking
3270
National Ranking
197

Gert-Martin Greuel 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 Gert-Martin Greuel 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: 170 publications — 49th percentile

49% of scientists in this discipline score the same or lower.

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

Gert-Martin Greuel 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 Gert-Martin Greuel 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.

Overview

Gert-Martin Greuel is affiliated with the Technical University of Kaiserslautern in Germany. Their research spans the fields of mathematics and computer science, contributing extensively to several specialized subfields.

Their main areas of study include:

  • Mathematics
  • Computer Science

Their work further focuses on the following subfields:

  • Geometry and Topology
  • Algebra and Number Theory
  • Computational Theory and Mathematics
  • Mathematical Physics
  • Computational Mechanics

Within these fields, Greuel's research themes cover:

  • Algebraic Geometry and Number Theory
  • Polynomial and algebraic computation
  • Commutative Algebra and Its Applications
  • Advanced Numerical Analysis Techniques
  • Advanced Topics in Algebra
  • Advanced Algebra and Geometry
  • Homotopy and Cohomology in Algebraic Topology

Among Greuel's publications, recent papers include:

  • "Pairs of Lie-type and large orbits of group actions on filtered modules" (2022, Mathematische Zeitschrift)
  • "Crystals and symmetry - an historical outline" (2021, Symmetry Culture and Science)
  • "On delta for parameterized curve singularities" (2022, Journal of Algebra)
  • "History of Singular and its relation to Zariski's multiplicty conjecture" (2021, arXiv (Cornell University))
  • "Using Semicontinuity for Standard Bases Computations" (2022, Mathematics in Computer Science)

Greuel has frequently published in venues such as:

  • arXiv (Cornell University)
  • Journal of Algebra
  • Mathematische Zeitschrift
  • Symmetry Culture and Science
  • Mathematics in Computer Science

Frequent collaborators in Greuel's research include:

  • Gerhard Pfister
  • Eugeniĭ Shustin
  • Hans Schönemann
  • Thuy Huong Pham
  • Muhammad Ahsan Binyamin

Greuel's contributions extend to book publications, notably with Springer Science+Business Media. A forthcoming book titled Introduction to Singularities and Deformations is scheduled for release in 2025 and has already accumulated citations in the academic community.

Best Publications

  • SINGULAR — A computer algebra system for polynomial computations

    Gert-Martin Greuel;Gerhard Pfister;Hans Schönemann

  • A Singular Introduction to Commutative Algebra

    Gert-Martin Greuel;Gerhard Pfister

  • Introduction to Singularities and Deformations

    Gert-martin Greuel;Eugenii Shustin;Christoph Lossen

  • Cohen-Macaulay modules on hypersurface singularities II

    Ragnar-Olaf Buchweitz;Gert-Martin Greuel;F.-O. Schreyer

  • Der Gauß-Manin- Zusammenhang isolierter Singularitäten von vollständigen Durchschnitten.

    G. M. Greuel

  • A Singular Introduction to Commutative Algebra

    Unknown

  • The Milnor number and deformations of complex curve singularities

    Ragnar-Olaf Buchweitz;Gert-Martin Greuel

  • SINGULAR: a computer algebra system for polynomial computations

    G. M. Greuel;G. Pfister;H. Schönemann

  • Einfache Kurvensingularitäten und torsionsfreie Moduln

    G. M. Greuel;H. Knörrer

  • Primary Decomposition: Algorithms and Comparisons

    Wolfram Decker;Gert-Martin Greuel;Gerhard Pfister

  • Simple singularities in positive characteristic

    G. M. Greuel;H. Kröning

  • Dualität in der lokalen Kohomologie isolierter Singularitäten

    Gert-Martin Greuel

  • Tame and Wild Projective Curves and Classification of Vector Bundles

    Yuri A Drozd;Gert-Martin Greuel

  • Invarianten quasihomogener vollständiger Durchschnitte

    Gert-Martin Greuel;Helmut A. Hamm

  • Plane curves of minimal degree with prescribed singularities

    Gert-Martin Greuel;Christoph Lossen;Eugenii Shustin

  • Algorithmic Algebra and Number Theory

    B. Heinrich Matzat;Gert-Martin Greuel;Gerhard Hiss

  • SINGULAR version 1.2 User Manual

    Gert-Martin Greuel;Gerhard Pfister;Hans Schönemann

  • Constant Milnor Number Implies Constant Multiplicity for Quasihomogeneous Singularities.

    Gert Martin Greuel

  • On the topology of smoothable singularities

    G.-M. Greuel;J. H. M Steenbrink

  • Families of varieties with prescribed singularities

    Gert-Martin Greuel;Ulrich Karras

  • Advances and improvements in the theory of standard bases and syzygies

    G. M. Greuel;G. Pfister

  • An Algebraic Approach for Proving Data Correctness in Arithmetic Data Paths

    Oliver Wienand;Markus Wedler;Dominik Stoffel;Wolfgang Kunz

  • New developments in the theory of Grobner bases and applications to formal verification

    Michael Brickenstein;Alexander Dreyer;Gert-Martin Greuel;Markus Wedler

  • Singularities, Representation of Algebras, and Vector Bundles

    Gert-Martin Greuel

Frequent Co-Authors

Fritz Grunewald
Fritz Grunewald Heinrich Heine University Düsseldorf
Margaret H. Wright
Margaret H. Wright New York University
John E. Hopcroft
John E. Hopcroft Cornell University
Eduard Looijenga
Eduard Looijenga Utrecht University
Andrew J. Sommese
Andrew J. Sommese University of Notre Dame

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