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:

Spaces of norms, determinant of cohomology and Fekete points in non-Archimedean geometry, to appear in Advances in Mathematics (joint with Sébastien Boucksom).

BCOV invariants of Calabi-Yau manifolds and degenerations of Hodge structures, to appear in Duke Mathematical Journal (joint with Gerard Freixas and Christophe Mourougane)

Global representation of Segre numbers by Monge-Ampère products, Mathematische Annalen (2020), (joint with Mats Andersson, Håkan Samuelsson, Elizabeth Wulcan, Alain Yger)

Kähler quantisation of vortex moduli, Letters in Mathematical Physics 110, pp. 659-693 (2020) (joint with Nuno Ramao)

Singularities of metrics on Hodge bundles and their topological invariants, Algebraic Geometry 5 (6) (2018) 742-775 (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 earlier version on arXiv

Preprints and preliminary versions:

On genus one mirror symmetry in higher dimensions and the BCOV conjectures (submitted, joint with Gerard Freixas and Christophe Mourougane)
Nonproper intersection products and generalized cycles (submitted, joint with Mats Andersson, Håkan Samuelsson, Elizabeth Wulcan, Alain Yger)
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 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