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Mathematics

D-Index
58
Citations
11540
World Ranking
646
National Ranking
31

Overview

Jürgen Herzog was affiliated with the University of Duisburg-Essen in Germany. Their academic contributions encompassed multiple areas within mathematics and computer science, emphasizing algebraic structures and combinatorial models.

Their main fields of study included:

  • Mathematics
  • Computer Science

Within these fields, Herzog's work focused on several subfields, including:

  • Algebra and Number Theory
  • Geometry and Topology
  • Computational Theory and Mathematics
  • Discrete Mathematics and Combinatorics
  • Mathematical Physics

The core topics addressed in their research involved:

  • Commutative Algebra and Its Applications
  • Algebraic structures and combinatorial models
  • Polynomial and algebraic computation
  • Algebraic Geometry and Number Theory
  • Rings, Modules, and Algebras
  • Advanced Combinatorial Mathematics
  • Advanced Topics in Algebra

Several notable papers were published by Herzog, illustrating the breadth and depth of their research over recent years:

  • "Canonical trace ideal and residue for numerical semigroup rings," 2021, Semigroup Forum
  • "The Regularity of Edge Rings and Matching Numbers," 2020, Mathematics
  • "An upper bound for the regularity of powers of edge ideals," 2020, MATHEMATICA SCANDINAVICA

Their collaborative research network included frequent partnerships with the following coauthors:

  • Takayuki Hibi
  • Somayeh Moradi
  • Antonino Ficarra
  • Masoomeh Rahimbeigi
  • Dumitru I. Stamate

Herzog's work appeared repeatedly in major academic venues, including:

  • arXiv (Cornell University)
  • Collectanea mathematica
  • The Electronic Journal of Combinatorics
  • Journal of Combinatorial Theory Series A
  • Archiv der Mathematik

Best Publications

  • Monomial Ideals

    Jürgen Herzog;Takayuki Hibi

  • Generators and relations of abelian semigroups and semigroup rings

    Jürgen Herzog

  • Der kanonische Modul eines Cohen-Macaulay-Rings

    Jürgen Herzog;Ernst Kunz

  • Asymptotic Behaviour of the Castelnuovo-Mumford Regularity

    S. Dale Cutkosky;Jürgen Herzog;Ngô Viêt Trung

  • Binomial edge ideals and conditional independence statements

    Jürgen Herzog;Takayuki Hibi;Freyja Hreinsdóttir;Thomas Kahle

  • Componentwise linear ideals

    Jürgen Herzog;Takayuki Hibi

  • Resolutions by mapping cones

    Jürgen Herzog;Yukihide Takayama

  • Distributive Lattices, Bipartite Graphs and Alexander Duality

    Jürgen Herzog;Takayuki Hibi

  • Discrete Polymatroids

    Jürgen Herzog;Takayuki Hibi

  • Approximation complexes of blowing-up rings, II

    J Herzog;A Simis;W.V Vasconcelos

  • Dirac's theorem on chordal graphs and Alexander duality

    Jürgen Herzog;Takayuki Hibi;Xinxian Zheng

  • Monomial ideals whose powers have a linear resolution

    Jürgen Herzog;Takayuki Hibi;Xinxian Zheng

  • Bounds for multiplicities

    Jürgen Herzog;Hema Srinivasan

  • Gröbner bases and multiplicity of determinantal and pfaffian ideals

    Jürgen Herzog;NgôViêt Trung

  • Linear maximal Cohen-Macaulay modules over strict complete intersections☆

    J. Herzog;B. Ulrich;J. Backelin

  • How to compute the Stanley depth of a monomial ideal

    Jürgen Herzog;Marius Vladoiu;Xinxian Zheng

  • Squarefree lexsegment ideals

    Annetta Aramova;Jürgen Herzog;Takayuki Hibi

  • Symbolic powers of monomial ideals and vertex cover algebras

    Jürgen Herzog;Takayuki Hibi;Ngô Viêt Trung

  • Ringe mit nur endlich vielen Isomorphieklassen von maximalen, unzerlegbaren Cohen-Macaulay-Moduln

    Jürgen Herzog

  • Gotzmann Theorems for Exterior Algebras and Combinatorics

    Annetta Aramova;Jürgen Herzog;Takayuki Hibi

  • Resolutions of monomial ideals and cohomology over exterior algebras

    Annetta Aramova;Luchezar Avramov;Jürgen Herzog

Frequent Co-Authors

Takayuki Hibi
Takayuki Hibi Osaka University
Ngo Viet Trung
Ngo Viet Trung Vietnam Academy of Science and Technology
Wolmer V. Vasconcelos
Wolmer V. Vasconcelos Rutgers, The State University of New Jersey
Aron Simis
Aron Simis Federal University of Pernambuco
Aldo Conca
Aldo Conca University of Genoa
Victor Reiner
Victor Reiner University of Minnesota
Craig Huneke
Craig Huneke University of Virginia
Luchezar L. Avramov
Luchezar L. Avramov University of Nebraska–Lincoln
Winfried Bruns
Winfried Bruns Osnabrück University
David Eisenbud
David Eisenbud University of California, Berkeley

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