Accepting applications from PhD students.
Email: [email protected]
Tel: +44 23 8059 5125
Dr Koeck is an algebraist with research interests in Algebraic Geometry, Algebraic K-Theory, Algebraic Number Theory and Homological Algebra. A common theme in Koeck's research form group actions on spaces in Algeba, Geometry and Number Theory. More specifically he has worked in (equivariant) Riemann-Roch theory, operations on higher K-theory, Galois module theory, Belyi theory and simplicial homological algebra.
Dr Koeck's research falls into the broadly understood area of Riemann-Roch theory. Riemann-Roch theory originates from the fundamental problem of computing the dimension of so-called Riemann-Roch spaces such as the vector space of global sections of a vector bundle or, more classically, the vector space of global meromorphic functions on a compact Riemann surface that satisfy certain pole and zero order conditions. The classical and celebrated Riemann-Roch theorem from the 19th century which solves the latter problem has seen vast generalisations over the past century which are central to Algebraic K-Theory, Algebraic Geometry, Arithmetic Geometry and Differential Geometry. Dr Koeck's research is particularly focussing on the following topics:
Bernhard has taught on a number of modules, including:
GENG0001 Mathematics A
MATH3078 Further Number Theory
PhD Regensburg, Habilitation Karlsruhe, Heisenberg Fellow