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) A generalization of Beilinson's geometric height pairing
Rössler, D Szamuely, T Documenta Mathematica volume 27 1671-1692 (01 Jan 2022) A Local Refinement of the Adams–Riemann–Roch Theorem in Degree One
Rössler, D Arithmetic L-Functions and Differential Geometric Methods volume 338 213-246 (18 May 2021) Purely inseparable points on curves
Rössler, D Abelian Varieties and Number Theory volume 767 89-96 (2021) A generalization of Beilinson's geometric height pairing
Rössler, D Szamuely, T (02 Sep 2020) 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.