Algebra and Number Theory – University of Copenhagen

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Department of Mathematical Sciences > Research > Topology, Functional Analysis and Algebra > Algebra and Number Theory

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.
  • 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.
  • Dan Petersen: Algebraic geometry, moduli spaces, Hodge theory.
  • Morten S. Risager: Analytic number theory and automorphic forms.

Niels Bohr Professor (NBP):

  • Lars Hesselholt: K-theory, algebraic geometry, algebraic topology, number theory.

Postdocs:

  • Dustin Tate Clausen: Algebraic topology and number theory (Post-doc).
  • Piotr Aleksander Maciak: Number theory and geometry of numbers. In particular, number theory in function fields, the Euclidean minima of algebraic number fields, Minkowski’s conjecture. (Post-doc).
  • Oscar Marmon: Analytic number theory, quantitative diophantine geometry (Post-doc).
  • Simon Rose: Algebraic Geometry, Enumerative Geometry, Modular Forms, String Theory, K3 surfaces, Abelian Surfaces, Hyperelliptic Curves, Gromov-Witten theory (Post-doc).
  • Nadim Rustom: Algebraic number theory and arithmetic geometry, in particular Galois representations and automorphic forms, classical, mod p, and p-adic aspects (Post-doc).
  • Anders Södergren: Analytic number theory, the geometry of numbers and automorphic forms (Post-doc).
  • Sho Tanimoto: Algebraic and arithmetic geometry, diophantine geometry, rational points, the minimal model program, automorphic forms, automorphic representation theory (Post-doc). Web site: https://shotanimoto.wordpress.com

PhD students:

  • Rune H. Bak: Homological algebra and its areas of application, including representation theory, ring theory, and category theory (PhD with Holm).
  • Giacomo Cherubini: Analytic number theory and automorphic forms (PhD with Risager).
  • Dino Destefano: Algebraic number theory and arithmetic geometry, in particular Galois representations and modular forms (PhD with Kiming).
  • Andrea Ricolfi: Algebraic geometry, Hilbert schemes, and motivic Donaldson-Thomas invariants (PhD with Halle and Martin Gulbrandsen, Univ. of Stavanger).
  • Annelies Jaspers: Algebraic Geometry, K3 surfaces, Motivic Zeta Functions (PhD with Halle and Johannes Nicaise, KU Leuven).

 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:

  • Martin Djukanovic: Diophantine problems, hyperelliptic curves (PhD with Pazuki and Robin de Jong, Univ Leiden).
  • Raymond van Bommel: Arithmetic of varieties in family (PhD with Pazuki and David Holmes, Univ Leiden).
  • Bruno Winckler: Diophantine problems, analytic number theory (Defended his PhD with Pazuki and Pascal Autissier, works now at ENS Lyon).

Present Guests:

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Past guests:

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