Prof. Damian Charles Rössler
Status
Academic Faculty
Professor of Pure Mathematics and Tutorial Fellow of Pembroke College
Research groups
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
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.
Teaching
I shall be teaching the Part C course Introduction to Schemes in Hilary Term 2016.
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 fields of positive characteristic
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) schemes
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.