What is he best known for?
The fields of study he is best known for:
- Algebra
- Combinatorics
- Pure mathematics
Combinatorics, Pure mathematics, Discrete mathematics, Monomial and Monomial ideal are his primary areas of study.
His Combinatorics research incorporates themes from Polynomial ring and Gröbner basis.
His study connects Arithmetic function and Pure mathematics.
Jürgen Herzog combines subjects such as Symmetric algebra, Blowing up and Homology with his study of Discrete mathematics.
His Monomial research integrates issues from Upper and lower bounds, Simple graph and Bipartite graph.
His Monomial ideal research incorporates elements of Finitely-generated abelian group, Finite set, Vertex cover and Prime.
His most cited work include:
- Monomial Ideals (499 citations)
- Generators and relations of abelian semigroups and semigroup rings (396 citations)
- Der kanonische Modul eines Cohen-Macaulay-Rings (327 citations)
What are the main themes of his work throughout his whole career to date?
His primary scientific interests are in Combinatorics, Pure mathematics, Monomial, Discrete mathematics and Monomial ideal.
As part of the same scientific family, he usually focuses on Combinatorics, concentrating on Ring and intersecting with Semigroup.
His work in the fields of Pure mathematics, such as Betti number, intersects with other areas such as Property.
His Monomial research is multidisciplinary, relying on both Vertex cover, Type, Prime and Conjecture.
Discrete mathematics is often connected to Maximal ideal in his work.
Monomial ideal and Linear resolution are two areas of study in which Jürgen Herzog engages in interdisciplinary work.
He most often published in these fields:
- Combinatorics (43.41%)
- Pure mathematics (42.12%)
- Monomial (23.79%)
What were the highlights of his more recent work (between 2016-2021)?
- Combinatorics (43.41%)
- Pure mathematics (42.12%)
- Monomial (23.79%)
In recent papers he was focusing on the following fields of study:
His scientific interests lie mostly in Combinatorics, Pure mathematics, Monomial, Ideal and Monomial ideal.
His Combinatorics research is multidisciplinary, incorporating elements of Ring and Type.
His Numerical semigroup study in the realm of Pure mathematics connects with subjects such as Property.
His biological study spans a wide range of topics, including Fiber and Function.
The various areas that Jürgen Herzog examines in his Ideal study include Discrete mathematics, Characterization, Regular polygon, Chordal graph and Principal ideal.
His research integrates issues of Ideal, Combinatorial commutative algebra, Matroid and Finite set, Freiman's theorem in his study of Monomial ideal.
Between 2016 and 2021, his most popular works were:
- Letterplace and co-letterplace ideals of posets (25 citations)
- On the Extremal Betti Numbers of Binomial Edge Ideals of Block Graphs (24 citations)
- The trace of the canonical module (22 citations)
In his most recent research, the most cited papers focused on:
- Algebra
- Combinatorics
- Pure mathematics
Jürgen Herzog mainly investigates Pure mathematics, Monomial, Ideal, Combinatorics and Monomial ideal.
Jürgen Herzog has researched Pure mathematics in several fields, including Type and Square-free integer.
His studies in Monomial integrate themes in fields like Local ring, Simple, Koszul complex and Freiman's theorem.
The study incorporates disciplines such as Discrete mathematics, Semiprime ring, Resolution, Principal ideal and Edge in addition to Ideal.
His research ties Finite set and Combinatorics together.
His work deals with themes such as Cone, Ideal, Fiber, Matroid and Regular polygon, which intersect with Monomial ideal.
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