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Prof. Damian Charles Rössler

Status
Academic Faculty

Professor of Pure Mathematics and Tutorial Fellow of Pembroke College

+44 1865 273540
Contact form
http://people.maths.ox.ac.uk/rossler
ORCID iD
https://orcid.org/0000-0002-8701-6288
Research groups
  • Algebra
  • Geometry
  • Number Theory
Address
Mathematical Institute
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
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.

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