Status:
Professor of Pure Mathematics and Tutorial Fellow of Pembroke College
Personal website:
+44 1865 273540
ORCID iD:
https://orcid.org/0000-0002-8701-6288
Research groups:
Address
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Recent Publications:
Rational points of varieties with ample cotangent bundle over function
fields of positive characteristic
Mathematische Annalen
(19 July 2017)
Full text available
Cohomology and torsion cycles over the maximal cyclotomic extension
Journal für die Reine und Angewandte Mathematik (Crelle's Journal)
(12 January 2017)
Full text available
On the group of purely inseparable points of an abelian variety defined over a function field of positive characteristic
Commentarii Mathematici Helvetici
issue 1
volume 90
page 23-32
(2015)
On the Manin–Mumford and Mordell–Lang conjectures in positive characteristic
Algebra & Number Theory
issue 8
volume 7
page 2039-2057
(24 November 2013)
Infinitely $p$ -Divisible Points on Abelian Varieties Defined over Function Fields of Characteristic $p\gt 0$
Notre Dame Journal of Formal Logic
issue 3-4
volume 54
page 579-589
(2013)
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.