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Department of Mathematics
University of Oslo
Box 1053, Blindern, 0316 Oslo, Norway
Email: johnco@math.uio.no
Phone: +4722855704
Office: B607

My research interests are in algebraic geometry.

Algebraic geometry group at UiO
Algebra/algebraic geometry seminar at UiO.

Events

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.

Teaching

MAT4230 Algebraic Geometry III (Fall 2016).

Publications

Effective cones of cycles on blow-ups of projective space (with I. Coskun, J.Lesieutre). To appear in Algebra & Geometry. PDF
Nef cycles on some hyperkahler fourfolds. PDF
Curves disjoint from a nef divisor (with J. Lesieutre). To appear in Michigan Math. J. 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 Math. J. (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

Notes

`Positivity of higher codimension cycles'. Summer school notes, Vlieland, September 2016. PDF