Jürgen Herzog

Algebra and Number Theory · 2000–2016

A researcher in the Science corpus: 31 papers; trusts 16 researchers and is trusted by 41 researchers here, as inferred from the citation graph.

Subfields

• Algebra and Number Theory — 60 citations into it; #89 of 2,864 by trust here, #40 by citations
• Geometry and Topology — 46 citations into it; #739 of 7,422 by trust here, #387 by citations
• Computational Theory and Mathematics — 43 citations into it; #610 of 12,182 by trust here, #574 by citations
• Discrete Mathematics and Combinatorics — 5 citations into it; #555 of 2,017 by trust here, #370 by citations

Whom Jürgen Herzog trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Aldo Conca
2. Philippe Gimenez
3. Takayuki Hibi
4. Susan Morey
5. Rafael H. Villarreal
6. Wilhelm Plesken
7. Ali Soleyman Jahan
8. Sara Faridi
9. Ezra Miller
10. Xinxian Zheng

Who trusts Jürgen Herzog overall

1. Asia Rauf
2. Steven Dale Cutkosky
3. Huy Tài Hà
4. Susan Morey
5. Aldo Conca
6. Adam Van Tuyl
7. Nguyên Công Minh
8. Takayuki Hibi
9. Ngô Viêt Trung
10. Rafael H. Villarreal

Papers from Jürgen Herzog's perspective

Ordered by how strongly the researchers Jürgen Herzog trusts endorse each paper. Same corpus, a different order for every researcher.

1. The facet ideal of a simplicial complex
2. Resolutions of Facet Ideals
3. Resolutions by mapping cones
4. A Note on Rees Algebras and the MFMC Property
5. Blowup algebras of ideals of vertex covers of bipartite graphs
6. Ideals with Stable Betti Numbers
7. Discrete Polymatroids
8. The Stable Set of Associated Primes of the Ideal of a Graph
9. A Singular Introduction to Commutative Algebra
10. Minimal Graded Free Resolutions for Monomial Curves Defined by Arithmetic Sequences

Their papers

• Resolutions by mapping cones (2001) — 209 citations
• Distributive Lattices, Bipartite Graphs and Alexander Duality (2003) — 214 citations
• Castelnuovo-Mumford regularity of products of ideals (2002) — 179 citations
• Standard graded vertex cover algebras, cycles and leaves (2006) — 78 citations
• Monomial ideals whose powers have a linear resolution (2003) — 181 citations
• Finite filtrations of modules and shellable multicomplexes (2005) — 99 citations
• The depth of powers of an ideal (2004) — 172 citations
• A Generalization of the Taylor Complex Construction (2005) — 47 citations
• Ideals with Stable Betti Numbers (2000) — 82 citations
• On the radical of a monomial ideal (2004) — 88 citations
• Symbolic powers of monomial ideals and vertex cover algebras (2005) — 169 citations
• On the defining equations of the tangent cone of a numerical semigroup ring (2013) — 48 citations
• Cohen-Macaulay binomial edge ideals (2010) — 146 citations
• How to compute the Stanley depth of a monomial ideal (2007) — 173 citations
• The trace of the canonical module (2016) — 119 citations
• A Survey on Stanley Depth (2013) — 81 citations
• Persistence and stability properties of powers of ideals (2012) — 90 citations
• Grobner Bases in Commutative Algebra (2011) — 151 citations
• The stable set of associated prime ideals of a polymatroidal ideal (2011) — 108 citations
• Geometric And Combinatorial Aspects Of Commutative Algebra (2007) — 53 citations