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:
- 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.
- 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
- 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).
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.
- 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).
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