William Crawley-Boevey

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William Crawley-Boevey

William Walstan Crawley-Boevey (born May 30, 1960 ) is a British mathematician who studies algebra .

He is the second son of Sir Thomas Michael Blake Crawley-Boevey (8th Baron Crawley-Boevey). Crawley-Boevey received his PhD in 1986 from the University of Cambridge under Stephen Donkin ( Polycyclic-by-Finite Affine Group Schemes and Infinite Soluble Groups ). He was a professor at the University of Leeds and has been a professor (with a Humboldt Professorship ) at Bielefeld University since 2016 .

He is concerned with representation theory of finite-dimensional associative algebras and related issues. Among other things, he investigated tame algebras and their classification, quivers and pre-projective algebras with applications in algebraic geometry.

In 1991 he received the Berwick Prize . In 2006 he was invited speaker at the International Congress of Mathematicians in Madrid ( Quiver algebras, weighted projective lines and the Deligne-Simpson problem ). He is a fellow of the American Mathematical Society .

In 2015, Crawley-Boevey was nominated for an Alexander von Humboldt Professorship by Bielefeld University . In 2016 he accepted the Humboldt Professorship in Bielefeld.

Web links

Individual evidence

  1. William Walstan Crawley Boevey on thepeerage.com , accessed on 15 September 2016th
  2. William Crawley-Boevey in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / name used
  3. ^ Tame Algebra at Mathworld
  4. Directed graphs (loops and multiple edges between nodes are allowed), in which a vector space is assigned to each node in a representation. The arrows in the graph correspond to linear mappings between the vector spaces.
  5. Introduced by Israel Gelfand and VA Ponomarev. The modules of pre-projective algebras are closely connected with representations of quivers and play a role, for example, in the study of singularities of algebraic varieties and the classification of solutions of differential equations on Riemann surfaces (monodrome matrix, connected with the Deligne-Simpson problem).
  6. Alexander von Humboldt Professorship - William Crawley-Boevey. Retrieved May 14, 2018 .