World's Best Scientists 2026 revealed!
Claus Michael Ringel

Claus Michael Ringel

D-Index & Metrics

Mathematics

D-Index
57
Citations
13073
World Ranking
689
National Ranking
35

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • Member of the Norwegian Academy of Science and Letters Mathematics
  • Member of the Norwegian Academy of Science and Letters Mathematics
  • Member of the Norwegian Academy of Science and Letters Mathematics

Overview

Claus Michael Ringel is affiliated with Bielefeld University in Germany and has a research focus within the field of Mathematics. Their work spans various subfields, including Algebra and Number Theory, Geometry and Topology, Mathematical Physics, Computational Theory and Mathematics, and Applied Mathematics.

They have contributed to multiple main topics within mathematics, such as:

  • Algebraic structures and combinatorial models
  • Advanced Topics in Algebra
  • Commutative Algebra and Its Applications
  • Rings, Modules, and Algebras
  • Homotopy and Cohomology in Algebraic Topology
  • Matrix Theory and Algorithms
  • Nonlinear Waves and Solitons

Recent publications by Claus Michael Ringel include:

  • "On Modules M such that both M and M∗ are Semi-Gorenstein-Projective" (2020, Algebras and Representation Theory)
  • "Gorenstein-projective modules over short local algebras" (2022, Journal of the London Mathematical Society)
  • "Koszul modules (and the Ω-growth of modules) over short local algebras" (2021, Journal of Pure and Applied Algebra)
  • "Simple reflexive modules over finite-dimensional algebras" (2020, Journal of Algebra and Its Applications)
  • "On modules M such that M and M* are semi-Gorenstein-projective" (2020, arXiv (Cornell University))

The frequent venues where they publish include:

  • arXiv (Cornell University)
  • Algebras and Representation Theory
  • Journal of Pure and Applied Algebra
  • Journal of the London Mathematical Society
  • Journal of Algebra and Its Applications

They have collaborated often with researchers such as Pu Zhang and Markus Schmidmeier.

Awards received include Fellow of the American Mathematical Society (2013) and membership in the Norwegian Academy of Science and Letters in the field of Mathematics.

Best Publications

  • Tame Algebras and Integral Quadratic Forms

    Claus Michael Ringel

  • Indecomposable representations of graphs and algebras

    Vlastimil Dlab;Claus Michael Ringel

  • Hall algebras and quantum groups

    Claus Michael Ringel

  • Auslander-reiten sequences with few middle terms and applications to string algebrass

    M.C.R. Butler;Claus Michael Ringel

  • The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences

    Claus Michael Ringel

  • Representations of K-species and bimodules

    Claus Michael Ringel

  • Quasi-hereditary algebras

    Vlastimil Dlab;Claus Michael Ringel

  • The module theoretical approach to quasi-hereditary algebras

    Vlastimil Dlab;Claus Michael Ringel

  • Vinberg’s characterization of dynkin diagrams using subadditive functions with application to DTr-periodic modules

    Dieter Happel;Udo Preiser;Claus Michael Ringel

  • The indecomposable representations of the dihedral 2-groups

    Claus Michael Ringel

  • PBW-bases of quantum groups.

    Claus Michael Ringel

  • On algebras of finite representation type

    Vlastimil Dlab;Vlastimil Dlab;Claus Michael Ringel;Claus Michael Ringel

  • Finite dimensional hereditary algebras of wild representation type

    Claus Michael Ringel

  • QF-3 rings

    Claus Michael Ringel;Hiroyuki Tachikawa

  • Infinite dimensional representations of finite dimensional hereditary algebras

    Claus Michael Ringel

  • Invariant Subspaces of Nilpotent Linear Operators. I.

    Claus Michael Ringel;Markus Schmidmeier

  • Hall polynomials for the representation-finite hereditary algebras

    Claus Michael Ringel

  • Exceptional modules are tree modules

    Claus Michael Ringel

  • The Auslander-Reiten translation in submodule categories

    Claus Michael Ringel;Markus Schmidmeier

  • The Composition Algebra of a Cyclic Quiver

    Claus Michael Ringel

  • Representations of finite dimensional algebras and related topics in Lie theory and geometry

    Vlastimil Dlab;Claus Ringel

Frequent Co-Authors

Idun Reiten
Idun Reiten Norwegian University of Science and Technology
Henning Krause
Henning Krause Bielefeld University

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