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
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 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 determinant bundles of abelian schemes
COMPOSITIO MATHEMATICA
issue 2
volume 144
page 495-502
(March 2008)
Full text available
AN ARITHMETIC RIEMANN-ROCH THEOREM IN HIGHER DEGREES
ANNALES DE L INSTITUT FOURIER
issue 6
volume 58
page 2169-2189
(2008)
Full text available
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.