Dennis Eriksson

Matematiska vetenskaper
Chalmers tekniska högskola och Göteborgs universitet
SE-412 96 Göteborg, Sweden

E-mail: dener /at/ chalmers.se
Phone: +46 (0)31-772 5362


Research

My research interests include Arakelov geometry and related questions. This means I work in algebraic geometry with input from complex geometry, and that I'm inspired by questions coming from number theory. In particular, I have been working on refinements of Riemann-Roch theorems and applications.

Publications:

Singularities of metrics on Hodge bundles and their topological invariants, to appear in Algebraic Geometry (joint with Gerard Freixas and Christophe Mourougane)
A logarithmic interpretation of Edixhoven's jumps for Jacobians Advances in Mathematics 2016, (joint with Lars-Halvard Halle and Johannes Nicaise)
Discriminants and Artin conductors, Crelle 2016 earlier version on arXiv
Galois theory of covers Normat 2012, (joint with Ulf Persson)
Degenerating Riemann surfaces and the Quillen metric Int Math Res Notices (2012) doi: 10.1093/imrn/rnr234 First published online: January 13, 2012 earlier version on Arxiv
Un isomorphisme de type Deligne–Riemann–Roch Comptes Rendus Mathematique, Volume 347, Issues 19-20, October 2009, Pages 1115-1118
On the Brauer-Manin obstruction for zero-cycles on curves (w. Victor Scharaschkin) Acta Arithmetica, vol. 135, no. 2, pp. 99-110, 2008 earler version on arXiv

Preprints and preliminary versions:

Nonproper intersection theory and positive currents II, global aspects (in preparation, joint with Mats Andersson, Håkan Samuelsson, Elizabeth Wulcan, Alain Yger)
Spaces of norms, determinant of cohomology and Fekete points in non-Archimedean geometry(joint with Sébastien Boucksom).
Kähler quantisation of vortex moduli (submitted, joint with Nuno Ramao)
Base change conductor for Jacobians (preprint, joint with Lars-Halvard Halle and Johannes Nicaise)
A metrized Deligne-Riemann-Roch theorem (preprint, preliminary version, only the Adams operations are considered in detail)
A Deligne-Riemann-Roch theorem (preprint, preliminary version, results on functorial Grothendieck-Riemann-Roch are only sketched)
The excess formula in functorial form (submitted) arXiv
Refined operations on K-theory by lifting to the virtual category (submitted, current version is a revision in progress) earlier version on arXiv

Mathematical education:

COMMUNICATING TO LEARN MULTIVARIABLE CALCULUS – STUDENTS’ BLACKBOARD PRESENTATIONS AS A MEANS FOR ENHANCING MATHEMATICS LEARNING, to appear in PRIMUS (joint with Hans Malmström)


Last updated: April, 2018