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Mathematics

D-Index
31
Citations
7980
World Ranking
3269
National Ranking
197

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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