John Christian Ottem 
 Department of Pure Mathematics and Mathematical Statistics
 University of Cambridge 
Email: J.C.Ottem α dpmms.cam.ac.uk





I am currently a PhD student in algebraic geometry at the University of Cambridge, 
where my adivsor is Burt Totaro. I am funded by a Gates scholarship. 
My CV.

My mathematical interests include higher dimensional algebraic
geometry, positivity of  line bundles and ideal sheaves, 
moduli spaces of curves, and toric geometry.


Papers
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