Dr Danny Scarponi
BSc MSc PhD
in Infectious Disease Epidemiology
I have a BSc and an MSc in Mathematics from the University of Pisa. My PhD, at the University of Toulouse III - Paul Sabatier, was on arithmetic geometry. More specifically, I investigated effective forms of the Manin-Mumford conjecture and realizations of the abelian polylogarithm.
In the past few years I have taught mathematics extensively, both at sixth form and university level.
I held tutorials for Calculus (University of California - Berkeley), Further Mathematical Methods (London School of Economics and Political Science), Groups and Group Actions, Integration, Linear Algebra, Algebraic Geometry (University of Oxford). At the Univeristy of Toulouse III - Paul Sabatier I gave lectures and tutorials for two mathematics and statistics courses for first-year Natural Sciences students.
I hold a PGCE from Kingston University and I am a Fellow of the Higher Education Academy.
I work with Nicky McCreesh and Richard White on the calibration of complex individual based stochastic models. In particular I am involved in the project to develop a history matching and model emulation R package.
Before coming to LSHTM I did research in pure mathematics. My research focused on the geometry and the arithmetic of abelian varieties. By generalizing to higher dimensions a result on the sparsity of p-divisible unramified liftings which played a crucial role in Raynaud's proof of the Manin-Mumford conjecture for curves, I found a bound for the number of irreducible components of the first critical scheme of subvarieties of an abelian variety which are complete intersections. I also worked with Arakelov geometry, which I used to show that the realisation of the abelian polylogarithm in analytic Deligne cohomology can be described in terms of the Bismut-Köhler higher analytic torsion form of the Poincaré bundle.
polylogarithm on abelian schemes
subvarieties of abelian varieties with trivial stabilizer