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.ncube.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, CalabiYau 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 padic 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: Ktheory, algebraic geometry, algebraic topology, number theory.
Postdocs:
 Dustin Tate Clausen: Algebraic topology and number theory (Postdoc).
 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. (Postdoc).
 Oscar Marmon: Analytic number theory, quantitative diophantine geometry (Postdoc).
 Simon Rose: Algebraic Geometry, Enumerative Geometry, Modular Forms, String Theory, K3 surfaces, Abelian Surfaces, Hyperelliptic Curves, GromovWitten theory (Postdoc).
 Sho Tanimoto: Algebraic and arithmetic geometry, diophantine geometry, rational points, the minimal model program, automorphic forms, automorphic representation theory (Postdoc). 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 DonaldsonThomas 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:

HansBjørn 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: Noncommutative ring theory, in particular P.I. theory with applications to finitedimensional representations of noncommutative 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:
Upcoming Guests:
Past guests:
See page Past guest