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 postdoc in the DPMMS at the University of Cambridge and a Junior Research Fellow at King's College.

My mathematical interests include higher dimensional algebraic
geometry, positivity of line bundles and subschemes, Calabi-Yau manifolds
and

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). PDF

Partially ample line bundles on toric varieties. (with N. Broomhead and
A. Prendergast-Smith). *To appear in Glasgow Mathematical Journal (2015).* PDF

Components of the Hilbert scheme of space curves on low-degree smooth
surfaces (with J. O. Kleppe).* International Journal of Mathematics* Vol. 26, (2015) PDF

The Cox ring of a K3 surface of Picard number two.* Journal of Pure
and Applied Algebra *
217 (2013), 709-715. PDF

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

`Positive vector bundles and cycles'. Summer school on
positivity, Loughborough 2015. PDF

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