Dr. Bernhard Koeck

Associate Professor

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Biography

Bernhard Koeck is a Reader at the University of Southampton with a research focus on Riemann-Roch theory and its applications in Algebraic Geometry and Algebraic K-Theory. His work encompasses higher algebraic K-theory, equivariant Riemann-Roch theory, and the interplay between algebra and number theory. Koeck's research particularly emphasizes the operations in higher algebraic K-theory, where he investigates the Grothendieck group of higher K-groups and their algebraic definitions. He has contributed significantly to equivariant Riemann-Roch theory, exploring how group representations influence the structure of vector bundles. His studies also touch on geometric Galois module theory, linking global invariants to local data, a crucial area in number theory. With a PhD from University of Regensburg and a Habilitation from University of Karlsruhe, he has been active in the academic community, participating in various external roles, including speaking engagements and reviewing grant proposals. Koeck teaches courses on number theory and has been involved in examining PhD theses.

Research Interests