Bernhard Koeck

Dr Bernhard Koeck is a Reader in the Pure Mathematics Centre for Geometry, Topology, and Applications at the University of Southampton. His research focuses on Algebraic Geometry, Algebraic K-Theory, Algebraic Number Theory, and Homological Algebra, with a particular emphasis on Riemann-Roch theory, exterior power operations on higher K-theory, and geometric Galois module theory. He explores group actions on algebraic structures across algebra, geometry, and number theory, including equivariant Riemann-Roch theorems and wild ramification in finite fields.

• PhD (Regensburg)
• Habilitation (Karlsruhe)
• Heisenberg Fellow

Koeck’s work on Riemann-Roch spaces and their equivariant properties has led to significant contributions in understanding local-global principles in number theory. His recent publications highlight advancements in exterior power operations, K-theory, and cohomology of curves and surfaces.

Scientific awards include the prestigious Heisenberg Fellowship. He teaches modules such as GENG0001 Mathematics A and MATH3078 Further Number Theory, and supervises PhD students Jane Toni Joy Turner and Denver-James Logan Marchment.