## 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 a post doc at the DPMMS at the University of Cambridge
and a Junior Research Fellow at King's College, Cambridge.

My mathematical interests include higher dimensional algebraic
geometry, positivity of line bundles and subschemes, Fano varieties
and

moduli spaces of curves.

### Papers

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). (2013) PDF

Birational geometry of hypersurfaces in products of projective
spaces. (2013) PDF

Ample subvarieties and q-ample divisors. Advances in Mathematics 229 (2012), 2868--2887. PDF

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,
2012. PDF

On the Cox Ring of P^2 Blown Up in Points on a Line, Mathematica Scandinavica 9,
(2011), 21--31. PDF

### Notes

`Curves and their moduli'. Graduate course, spring 2014. Notes.