John Christian Ottem
University of Oslo
Box 1053, Blindern
My research interests are in algebraic geometry, in particular
birational geometry, Calabi-Yau manifolds, and Hodge theory.
geometry group at UiO
geometry seminar at UiO.
Enumeration and Moduli: A conference in algebraic geometry on the
occasion of Geir Ellingsrud's 70th birthday. December 6-8 2018, University of Oslo.
Combinatorics and Hodge theory. 18-22 June 2018, Sophus Lie Conference Center, Nordfjordeid, Norway.
Geometry of Moduli.
August 7, 2017 - Aug. 11, 2017, Lofoten, Norway.
Polar geometry: A conference celebrating the work of Ragni Piene on the occasion of her 70th birthday.
January 26-28, 2017, University of Oslo.
Nordfjordeid Summer School: Stability conditions on triangulated categories and geometric applications.
June 13-17, 2016, Sophus Lie Conference Center, Nordfjordeid, Norway.
on the positivity of the cotangent bundle of a K3 surface
(with F. Gounelas) arXiv (2018)
Curve classes on irreducible holomorphic symplectic varieties (with
G. Mongardi) arXiv (2018)
Failure of the integral Hodge conjecture for threefolds of Kodaira dimension zero (with O. Benoist). To appear in Commentarii Mathematici Helvetici (2018)
A counterexample to the birational Torelli problem for
Calabi-Yau 3-folds (with J. V. Rennemo). Journal of the London Mathematical Society 97 (2018), 427-440
Positivity of the diagonal (with B. Lehmann). Advances in Mathematics 335 (2018), 664-695.
Effective cones of cycles on blow-ups of projective space (with
I. Coskun, J. Lesieutre). Algebra & Number Theory 10-9 (2016).
on some hyperkahler fourfolds. arXiv 2016
disjoint from a nef divisor (with J. Lesieutre). Michigan
Mathematical Journal 65 (2016), 321-332.
On subvarieties with ample normal bundle. Journal of the European Mathematical Society 18 (2016), 2459-2468
Quartic spectrahedra (with K. Ranestad, B. Sturmfels,
C. Vinzant) Math. Prog. B (2015).
Birational geometry of hypersurfaces in products of projective
spaces. Mathematische Zeitschrift 280 (2015), 135-148
Ample subvarieties and q-ample divisors. Advances in Mathematics 229 (2012), 2868-2887.
boundaries of Hilbert's SOS cones (with G. Blekherman, J. Hauenstein, K. Ranestad
and B. Sturmfels). Compositio Mathematica 148 (2012).
Partially ample line bundles on toric varieties. (with N. Broomhead and
A. Prendergast-Smith). Glasgow Math. J. 58 (2016)
Components of the Hilbert scheme of space curves on low-degree smooth
surfaces (with J. O. Kleppe). International Journal of Mathematics Vol. 26, (2015)
The Cox ring of a K3 surface of Picard number two. Journal of Pure
and Applied Algebra
217 (2013), 709-715.
- On the Cox Ring of P2 Blown Up in Points on a Line. Mathematica
Bernt Ivar Utstøl Nødland
This fall I am teaching Algebraic geometry III .