2026 Winfried Bruns: Mathematics Researcher – H-Index, Publications & Awards

Overview

Winfried Bruns is affiliated with Osnabrück University in Germany. Their research spans primarily the fields of Mathematics and Computer Science, with a focus on several subfields including Algebra and Number Theory, Geometry and Topology, Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, and Computational Mechanics.

They have contributed to a range of topics related to mathematical structures and computational methods such as:

Commutative Algebra and Its Applications
Advanced Combinatorial Mathematics
Polynomial and Algebraic Computation
Algebraic Structures and Combinatorial Models
Rings, Modules, and Algebras
Advanced Numerical Analysis Techniques
Game Theory and Voting Systems

Winfried Bruns has authored numerous papers, some of the recent ones include:

"Sagbi combinatorics of maximal minors and a Sagbi algorithm" (2023) published in the Journal of Symbolic Computation
"Polytope volume in Normaliz" (2022) published in São Paulo Journal of Mathematical Sciences
"The monoid of monotone functions on a poset and quasi-arithmetic multiplicities for uniform matroids" (2021) published in Archivio istituzionale della ricerca (Alma Mater Studiorum Università di Bologna)
"Polytope volume by descent in the face lattice and applications in social choice" (2020) published in Mathematical Programming Computation
"The monoid of monotone functions on a poset and quasi-arithmetic multiplicities for uniform matroids" (2020) published in Journal of Algebra

The primary publication venues for this researcher include:

arXiv (Cornell University)
Journal of Symbolic Computation
São Paulo Journal of Mathematical Sciences
Archivio istituzionale della ricerca (Alma Mater Studiorum Università di Bologna)
Mathematical Programming Computation

Regarding books, Winfried Bruns has contributed to the publication titled "Determinants, Gröbner Bases and Cohomology" released by Springer Science+Business Media in 2022.

Frequent coauthors of Winfried Bruns are:

Aldo Conca
Matteo Varbaro
Claudiu Raicu
Bogdan Ichim
Pedro A. García-Sánchez

Best Publications

Cohen-Macaulay rings

Winfried Bruns;H. Jürgen Herzog

5115
Citations
Polytopes, Rings, and K-Theory

Winfried Bruns;Joseph Gubeladze

473
Citations
Normal polytopes, triangulations, and Koszul algebras.

W. Bruns;J. Gubeladze;N. Viêt

189
Citations
Normaliz: Algorithms for rational cones and affine monoids

Winfried Bruns

169
Citations
h-Vectors of Gorenstein polytopes

Winfried Bruns;Tim Römer

110
Citations
Semigroup rings and simplicial complexes

Winfried Bruns;Jürgen Herzog

92
Citations
“Jede” endliche freie auflösung ist freie auflösung eines von drei Elementen erzeugten ideals

Winfried Bruns

81
Citations
Normaliz: Algorithms for affine monoids and rational cones

Winfried Bruns;Bogdan Ichim

81
Citations
A counterexample to an integer analogue of Carathéodory's theorem

Winfried Bruns;Joseph Gubeladze;Martin Henk;Alexander Martin

80
Citations
On multigraded resolutions

Winfried Bruns;Jürgen Herzog

79
Citations
Stanley decompositions and Hilbert depth in the Koszul complex

Winfried Bruns;Christian Krattenthaler;Jan Uliczka

79
Citations
Normality and covering properties of affine semigroups

Winfried Bruns;Joseph Gubeladze

76
Citations
Gröbner Bases and Determinantal Ideals

Winfried Bruns;Aldo Conca

70
Citations
The power of pyramid decomposition in Normaliz

Winfried Bruns;Bogdan Ichim;Christof Söger

61
Citations
On the computation of a-invariants

Winfried Bruns;Jfirgen Herzog

59
Citations
Divisorial Linear Algebra of Normal Semigroup Rings

Winfried Bruns;Joseph Gubeladze

59
Citations
The Number of Equations Defining a Determinantal Variety

Winfried Bruns;Roland Schwänzl

59
Citations
Koszul homology and syzygies of Veronese subalgebras

Winfried Bruns;Aldo Conca;Tim Römer

57
Citations
Polytopal Linear Groups

Winfried Bruns;Joseph Gubeladze

57
Citations
The Eisenbud-Evans generalized principal ideal theorem and determinantal ideals

Winfried Bruns

55
Citations

Frequent Co-Authors

Aldo Conca University of Genoa

Takayuki Hibi Osaka University

Christian Krattenthaler University of Vienna

Ngo Viet Trung Vietnam Academy of Science and Technology

Wolmer V. Vasconcelos Rutgers, The State University of New Jersey

Aron Simis Federal University of Pernambuco

Jürgen Herzog University of Duisburg-Essen

Alex Martin National Institutes of Health

Luchezar L. Avramov University of Nebraska–Lincoln

Rafael H. Villarreal CINVESTAV

External Links

Personal website of Winfried Bruns

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