Claus Michael Ringel

Ringel in 2005Claus Michael Ringel (born 10 February 1945) is a German mathematician, specializing in algebra. Education and career Ringel was born on 10 February 1945, in Zwickau. He studied mathematics, physics and philosophy beginning in 1964 at the Goethe University Frankfurt with the Diplom degree in mathematics in 1968. He received in 1969 from the Goethe University Frankfurt his doctorate under the supervision of Friedrich-Wilhelm Bauer with thesis Diagonalisierungspaare in der Homologischen Algebra (Diagonalization Pairs in Homological Algebra). He then became a research assistant at the University of Tübingen and in 1971/72 an assistant professor at Carleton University (where he collaborated with Vlastimil Dlab). In 1972 he habilitated in Tübingen and became there a Universitätsdozent.

In 1974, Ringel became a scientific advisor and professor at the University of Bonn. From 1978 until his retirement in 2010, he was a professor at Bielefeld University. From 2010 to 2013, he was a visiting professor at Shanghai Jiao Tong University. Since 2000, he has occasionally been a visiting professor at the University of Science and Technology of China in Hefei, and since 2011, he has occasionally taught as an adjunct professor at King Abdulaziz University in Jeddah.

Research Ringel's research deals with the representation theory of algebras. From 1991 to 2000 he led the project Representation of Algebras and from 1995 to 2000 the project Structure of Quantum Groups in the Collaborative Research Center 343's Discrete Structures in Mathematics; he also led the project Topological and Spectral Structures in Representation Theory in the Collaborative Research Center 701's Spectral Structures and Topological Methods in Mathematics. He is a member of the Royal Norwegian Society of Sciences and Letters and honorary doctor of the Norwegian University of Science and Technology in Trondheim.

In 2005 and 2006, he was chair of the Review Board for Mathematics at the Deutsche Forschungsgemeinschaft.

Selected publications

Articles

Unzerlegbare Darstellungen endlich-dimensionaler Algebren, Jahresbericht DMV 85 (1983), 86–105

Hall algebras and quantum groups, Inventions Mathematicae 100, no. 1 (1990), 583–591 Hall algebras, Banach Center Publications 26, no. 1 (1990): 433–447 Recent advances in the theory of finite dimensional algebras. (1984-1990), Progress in Mathematics 95, Birkhäuser 1991, pp. 141–192

The elementary 3-Kronecker modules, arXiv:1612.09141v (2016)

Books with Vlastimil Dlab: Indecomposable representations of graphs and algebras , AMS 1976 Tame Algebras and Integral Quadratic Forms, Springer Verlag 1984; with Vlastimil Dlab: Representations of finite dimensional algebra and related topics in Lie theory and geometry, AMS 2004 as editor with Henning Krause: Infinite Length Modules, Birkhäuser 2000