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 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
the moduli space of curves.
Nef cycles on some hyperkahler fourfolds PDF
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 PDF
Quartic spectrahedra. (with K. Ranestad, B. Sturmfels,
C. Vinzant). Math. Prog. B (2015). PDF
Birational geometry of hypersurfaces in products of projective
spaces. Mathematische Zeitschrift 280 (2015), 135--148 PDF
Ample subvarieties and q-ample divisors. Advances in Mathematics 229 (2012), 2868--2887. PDF
Algebraic boundaries of Hilbert's SOS cones (with G. Blekherman, J. Hauenstein, K. Ranestad.
and B. Sturmfels). Compositio Mathematica 148 (2012), 1717--1735. PDF
Partially ample line bundles on toric varieties. (with N. Broomhead,
A. Prendergast-Smith). arXiv:1202.3065 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). International Journal of Mathematics Vol. 26, No. 02 (2015) PDF
On the Cox Ring of P^2 Blown Up in Points on a Line. Mathematica Scandinavica 9,
(2011), 21--31. PDF