Research interests of

Jürgen Herzog

Member of the research group ''Commutative Algebra'' within the DFG-Forschergruppe ''Algebra and Geometry'' at Universität GH-Essen.

Free resolutions


Bounds for Betti numbers
Regularity, asymptotic behaviour of regularity
Resolutions over the exterior algebra
Resolutions of residue class fields, Golod rings, Koszul algebras


Combinatorial Commutative Algebra


Toric rings and combinatorics of affine semigroups
Cohen-Macaulay partially ordered sets, simplicial complexes
Resolutions and homology of incidence algebras of posets


Hilbert functions


Hilbert functions and generic forms
Gotzmann theorems
Multigraded Hilbert functions

Characteristik p-methods

Hilbert-Kunz functions
Tight closure

Maximal Cohen-Macaulay modules
Cohen-Macaulay blow-up algebras
Diagonal subalgebras

Sabgi bases
Monomial ideals
Hopf algebras

For recent preprints see the page of the research group Commutative algebra

Comments and suggestions to: juergen.herzog@uni-essen.de

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