Professor of Pure Mathematics and Tutorial Fellow of Pembroke College
Personal Website:
+44 1865 273540
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
On the Birational Invariance of the BCOV Torsion of Calabi-Yau Threefolds
Communications in Mathematical Physics
issue 2
volume 311
page 301-316
(10 April 2012)
On the order of certain characteristic classes of the Hodge bundle of semi-abelian schemes
volume 239
page 287-310
(2005)
A conjecture of Beauville and Catanese revisited
Mathematische Annalen
volume 330
page 293-308
(2004)
On ψ-invariant subvarieties of semiabelian varieties and the Manin-Mumford conjecture
Journal of Algebraic Geometry
volume 13
page 771-798
(2004)
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.