John Christian Ottem

Associate Professor - Algebra, Geometry and Topology
Norwegian version of this page
Room 607
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Visiting address Ullevål stadion Sognsveien 77 B 0855 OSLO
Postal address Postboks 1053 Blindern 0316 OSLO
Other affiliations Department of Mathematics

Research interests

Higher dimensional algebraic geometry, positivity of line bundles and subschemes, Calabi-Yau manifolds, and the moduli space of curves.

Courses taught

Background

  • Junior Research Fellow, King's College 2013-2015
  • Post doctoral research associate, DPMMS, University of Cambridge 2013-2015
  • Ph.D. University of Cambridge 2013

Awards

  • 'Unge forskertalenter'. Research Council of Norway 2016-2020.
Tags: Algebra and algebraic geometry

Publications

  • Ottem, John Christian (2017). Nef cycles on some hyperkahler fourfolds. arXiv.org.  ISSN 2331-8422. Full text in Research Archive. Show summary
  • Ottem, John Christian & Lehmann, Brian (2017). Positivity of the diagonal. arXiv.org.  ISSN 2331-8422. Full text in Research Archive. Show summary
  • Ottem, John Christian & Rennemo, Jørgen Vold (2017). A counterexample to the birational Torelli problem for Calabi-Yau 3-folds. arXiv.org.  ISSN 2331-8422. Full text in Research Archive. Show summary
  • Coskun, Izzet; Lesieutre, John & Ottem, John Christian (2016). Effective cones of cycles on blowups of projective space. Algebra & Number Theory.  ISSN 1937-0652.  10(9), s 1983- 2014 . doi: 10.2140/ant.2016.10.1983 Show summary
  • Lesieutre, John & Ottem, John Christian (2016). Curves disjoint from a nef divisor. The Michigan mathematical journal.  ISSN 0026-2285.  65(2), s 321- 332 . doi: 10.1307/mmj/1465329015 Show summary
  • Ottem, John Christian (2016). On subvarieties with ample normal bundle. Journal of the European Mathematical Society (Print).  ISSN 1435-9855.  18(11), s 2459- 2468 . doi: 10.4171/JEMS/644 Full text in Research Archive. Show summary
  • Ottem, John Christian; Prendergast-Smith, Artie & Broomhead, Nathan (2016). Partially ample line bundles on toric varieties. Glasgow Mathematical Journal.  ISSN 0017-0895.  58(3), s 587- 598 . doi: 10.1017/S001708951500035X Show summary
  • Kleppe, Jan Oddvar & Ottem, John Christian (2015). Components of the Hilbert scheme of space curves on low-degree smooth surfaces. International Journal of Mathematics.  ISSN 0129-167X.  26(2) . doi: 10.1142/S0129167X15500172 Full text in Research Archive. Show summary
  • Ottem, John Christian (2015). Birational geometry of hypersurfaces in products of projective spaces. Mathematische Zeitschrift.  ISSN 0025-5874.  280(1), s 135- 148 . doi: 10.1007/s00209-015-1415-x
  • Ottem, John Christian (2013). Cox rings of K3 surfaces with Picard number 2. Journal of Pure and Applied Algebra.  ISSN 0022-4049.  217(4), s 709- 715 . doi: 10.1016/j.jpaa.2012.09.016 Full text in Research Archive.
  • Blekherman, Grigoriy; Hauenstein, Jonathan; Ottem, John Christian; Ranestad, Kristian & Sturmfels, Bernd (2012). Algebraic boundaries of Hilbert's SOS cones. Compositio Mathematica.  ISSN 0010-437X.  148(6), s 1717- 1735 . doi: 10.1112/S0010437X12000437 Full text in Research Archive.
  • Ottem, John Christian (2012). Ample subvarieties and q-ample divisors. Advances in Mathematics.  ISSN 0001-8708.  229(5), s 2868- 2887 . doi: 10.1016/j.aim.2012.02.001
  • Ottem, John Christian (2011). ON THE COX RING OF P-2 BLOWN UP IN POINTS ON A LINE. Mathematica Scandinavica.  ISSN 0025-5521.  109(1), s 22- 30 Full text in Research Archive. Show summary

View all works in Cristin

  • Ottem, John Christian (2017). Nef cycles on some hyperkahler fourfolds.
  • Ottem, John Christian (2017). Nef cycles on some hyperkahler fourfolds.
  • Ottem, John Christian (2017). Nef cycles on some hyperkahler manifolds.
  • Ottem, John Christian (2017). Nef cycles on some hyperkahler manifolds.
  • Ottem, John Christian (2017). Positivity of the diagonal.
  • Ottem, John Christian (2017). Positivity of the diagonal.
  • Ottem, John Christian (2017). Positivity of the diagonal.
  • Ottem, John Christian (2017). Semiample line bundles in positive characteristic.
  • Ottem, John Christian (2017). The Birational Torelli problem for Calabi-Yau 3-folds.
  • Ottem, John Christian (2016). Effective and nef cycles in higher codimension.
  • Ottem, John Christian (2016). Effective cones of cycles on blow-ups of projective space.
  • Ottem, John Christian (2016). Effective cones of cycles on blow-ups of projective space.
  • Ottem, John Christian (2016). Effective cycles of higher codimension.
  • Ottem, John Christian (2016). Effective cycles on blow-ups of projective space.
  • Ottem, John Christian (2016). Higher codimension cycles.
  • Ottem, John Christian (2016). K3 surfaces.
  • Ottem, John Christian (2016). Moduli of K3s via Global Torelli.
  • Ottem, John Christian (2016). Nef cycles on hyperkahler manifolds.
  • Ottem, John Christian (2016). Positivity in higher codimension.
  • Kleppe, Jan Oddvar & Ottem, John Christian (2012). Components of the Hilbert scheme of space curves on low-degree smooth surfaces. Show summary

View all works in Cristin

Published Jan. 6, 2016 9:05 AM - Last modified Nov. 9, 2016 1:20 AM