John Christian Ottem
Department of Pure
Mathematics and Mathematical Statistics
University of Cambridge
DPMMS, Wilberforce Road, Cambridge CB3 0WA, UK
Email: J.C.Ottem α dpmms.cam.ac.uk
I am currently a visiting post doc at the Max Planck Institute for
Mathematics, Bonn. In Cambridge, I am a post doc at the DPMMS
and a Junior Research Fellow at King's College.
My mathematical interests include higher dimensional algebraic
geometry, positivity of line bundles and subschemes, Fano varieties
moduli spaces of curves.
Curves disjoint from a nef divisor (with J. Lesieutre). PDF
On subvarieties with ample normal bundle. To appear in Journal of the
European Mathematical Society (2013) PDF
Quartic spectrahedra. (with K. Ranestad, B. Sturmfels,
C. Vinzant). To appear in Mathematical Programming B (2013) PDF
Birational geometry of hypersurfaces in products of projective
spaces. To appear in Mathematische Zeitschrift (2013) PDF
Ample subvarieties and q-ample divisors. Advances in Mathematics 229 (2012), 2868--2887. PDF
Partially ample line bundles on toric varieties. (with N. Broomhead,
A. Prendergast-Smith). arxiv:1202.3065.
The algebraic boundary of Hilbert's SOS cones (with G. Blekherman, J. Hauenstein, K. Ranestad.
and B. Sturmfels). Compositio Mathematica 148 (2012), 1717--1735. PDF
The Cox ring of a K3 surface of Picard number two. Journal of Pure and Applied Algebra.
217 (2013), 709--715. PDF
Components of the Hilbert scheme of space curves on low-degree smooth
surfaces (with J. O. Kleppe), Preprint,
On the Cox Ring of P^2 Blown Up in Points on a Line, Mathematica Scandinavica 9,
(2011), 21--31. PDF
`Curves and their moduli'. Graduate course, spring 2014. Notes.