Professor of Pure Mathematics and Tutorial Fellow of Pembroke College
+44 1865 273540
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
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.
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.