John Christian Ottem
Higher dimensional algebraic geometry, positivity of line bundles and subschemes, Calabi-Yau manifolds, and the moduli space of curves.
'Young Research Talents'. Research Council of Norway 2016-2021.
- Two coniveau filtrations (with O. Benoist) (2020)
- Tropical degenerations and stable rationality (with J. Nicaise) (2019)
- A pencil of Enriques surfaces with non-algebraic integral Hodge classes (with F. Suzuki) Mathematische Annalen (to appear).
- On deformations of quintic and septic hypersurfaces (with S. Schreieder) Journal de Mathématiques Pures et Appliquées 135 (2020), 140-158.
- Remarks on the positivity of the cotangent bundle of a K3 surface (with F. Gounelas) (2018)
- Curve classes on irreducible holomorphic symplectic varieties (with G. Mongardi) Communications in Contemporary Mathematics (to appear)
- Failure of the integral Hodge conjecture for threefolds of Kodaira dimension zero (with O. Benoist). Commentarii Mathematici Helvetici (to appear)
- 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).
- Nef cycles on some hyperkahler fourfolds. LMS volume for Fulton 80 (to appear)
- Curves 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
- Birational geometry of hypersurfaces in products of projective spaces. Mathematische Zeitschrift 280 (2015), 135-148
- Partially ample line bundles on toric varieties. (with N. Broomhead and A. Prendergast-Smith). Glasgow Math. J. 58 (2016)
- Quartic spectrahedra (with K. Ranestad, B. Sturmfels, C. Vinzant) Mathematical Programming 151 (2), 585-612 (2015).
- Ample subvarieties and q-ample divisors. Advances in Mathematics 229 (2012), 2868-2887.
- Components of the Hilbert scheme of space curves on low-degree smooth surfaces (with J. O. Kleppe). International Journal of Mathematics Vol. 26, (2015)
- Algebraic boundaries of Hilbert's SOS cones (with G. Blekherman, J. Hauenstein, K. Ranestad and B. Sturmfels). Compositio Mathematica 148 (2012).
- 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 Scandinavica 9, (2011), 21-31.
- Positivity of the diagonal. Oberwolfach Report (2017)
- Mori dream hypersurfaces. Oberwolfach Report (2014)
- Positivity of higher codimension cycles. Summer school notes, Vlieland, September 2016.
- Introduction to Schemes (with G. Ellingsrud) Lecture notes in algebraic geometry.