Algebra and Number Theory – University of Copenhagen

Welcome to the Algebra and Number Theory group at the University of Copenhagen!

The research group 'Algebra and number theory' is involved with a broad section of modern algebra, algebraic geometry, and number theory.
We organize a regular seminar: Number Theory Seminar.
We are an active node in the Nordic Number theory Network: www.n-cube.net.
Here is a list of the members of the group together with brief descriptions of their fields:

Core:

  • Lars Halvard Halle: Algebraic and arithmetic geometry; curves, abelian varieties, Calabi-Yau varieties, zeta functions, motivic integration, degenerations, Hilbert schemes and moduli spaces.
  • Lars Hesselholt: K-theory, algebraic geometry, algebraic topology, number theory.
  • Henrik Holm: Homological algebra and its areas of application, including representation theory, ring theory, and category theory.
  • Ian Kiming: Algebraic number theory and arithmetic geometry, in particular Galois representations and automorphic forms, classical, mod p, and p-adic aspects.
  • Mehdi Fabien Pazuki: Number theory, diophantine geometry, heights, elliptic curves, abelian varieties, rational points on curves.
  • Morten S. Risager: Analytic number theory and automorphic forms.

Postdocs:

PhD students:

  • Rune H. Bak: Homological algebra and its areas of application, including representation theory, ring theory, and category theory (PhD with Holm).
  • Riccardo Pengo: L-functions, in particular relationships between Mahler measures and derivatives of L-functions (PhD with Pazuki and Kiming). 

 Emeriti:

  • Hans-Bjørn Foxby: Homological algebra, triangulated/derived categories, intersection multiplicities.
  • Christian U. Jensen: Algebraic number theory with a particular view towards Galois theoretic embedding problems.
  • Søren Jøndrup: Non-commutative ring theory, in particular P.I. theory with applications to finite-dimensional representations of non-commutative rings.
  • Jørn Børling Olsson: Representations of finite groups.
  • Asmus Schmidt: Number theory, in particular diophantine approximation and algebraic number theory.
  • Anders Thorup : Algebraic geometry, in particular intersection theory with applications to enumerative geometry.

   Associated members:

  • Raymond van Bommel: Arithmetic of varieties in family (PhD with Pazuki and David Holmes, Univ Leiden).

Present Guests:

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Upcoming Guests:

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Past guests:

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