Prof. Damian Charles Rössler

Status

Academic Faculty

Professor of Pure Mathematics and Tutorial Fellow of Pembroke College

Contact form

http://people.maths.ox.ac.uk/rossler

+44 1865 273540

ORCID iD

https://orcid.org/0000-0002-8701-6288

Research groups

Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Recent publications

On the group of purely inseparable points of an abelian variety defined over a function field of positive characteristic

Rössler, D Commentarii Mathematici Helvetici volume 90 issue 1 23-32 (23 Feb 2059)

Cohomology and torsion cycles over the maximal cyclotomic extension

Rössler, D Szamuely, T Journal für die Reine und Angewandte Mathematik (Crelle's Journal) (01 Jul 2019) http://arxiv.org/abs/1506.01270v2

Le groupe de Selmer des isogénies de hauteur un

Rössler, D (07 Apr 2019) http://arxiv.org/abs/1904.03687v1

Rational points of varieties with ample cotangent bundle over function
fields of positive characteristic

Gillet, H Rössler, D Mathematische Annalen (01 Jun 2018) http://arxiv.org/abs/1312.6008v3

On a canonical class of Green currents for the unit sections of abelian
schemes

Maillot, V Rössler, D Documenta Mathematica volume 20 631-668 (01 Jan 2015)

Research interests

Arithmetic algebraic geometry; more precisely: Riemann-Roch theorems, Arakelov theory, values of L-functions, rational points, applications of mathematical logic to diophantine problems, Manin-Mumford and Mordell-Lang conjecture.

Teaching

I shall be teaching the Part C course Introduction to Schemes in Hilary Term 2016.

Major / recent publications

(with V. Maillot) On a canonical class of Green currents for the unit sections of abelian schemes. Documenta Math. 20 (2015).

On the Manin-Mumford and Mordell-Lang conjectures in positive characteristic. Algebra and Number Theory 7 (2013), no. 8, 2039--2057.