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Trond Stølen Gustavsen's picture

Trond Stølen Gustavsen

Professor
  • E-mailTrond.Gustavsen@uib.no
  • Visitor Address
    Realfagbygget, Allégaten 41
  • Postal Address
    Postboks 7803
    5020 Bergen
Textbook
  • Show author(s) 2014. QED 1-7: Matematikk for grunnskolelærerutdanningen: Bind 2. Cappelen Damm Akademisk.
  • Show author(s) 2012. QED 1-7 : Matematikk for grunnskolelærerutdanningen. Bind 1. Cappelen Damm Høyskoleforlaget.
  • Show author(s) 2011. QED 5-10 : matematikk for grunnskolelærerutdanningen. Bind 1. Cappelen Damm Høyskoleforlaget.
Academic article
  • Show author(s) 2019. Investigating the fit of a model for students’ understanding of fractions in a Norwegian context. Nordisk matematikkdidaktikk. 5-24.
  • Show author(s) 2018. Deformations of rational surface singularities and reflexive modules with an application to flops. Advances in Mathematics. 1108-1140.
  • Show author(s) 2011. The deformation relation on the set of Cohen-Macaulay modules on a quotient surface singularity. Banach Center Publications. 41-50.
  • Show author(s) 2010. Representation theory for log-canonical surface singularities. Annales de l'Institut Fourier. 389-416.
  • Show author(s) 2010. Equivariant Lie-Rinehart cohomology. Proceedings of the Estonian Academy of Sciences : Physics, Mathematics. 294-300.
  • Show author(s) 2009. Lie-Rinehart cohomology and integrable connections on modules of rank one. Journal of Algebra. 4283-4294.
  • Show author(s) 2008. Reflexive modules on normal surface singularities and representations of the local fundamental group. Journal of Pure and Applied Algebra. 851-862.
  • Show author(s) 2008. Connections on modules over singularities of finite CM representation type. Journal of Pure and Applied Algebra. 1561-1574.
  • Show author(s) 2007. Computing obstructions for existence of connections on modules. Journal of symbolic computation. 313-323.
  • Show author(s) 2007. An elemtary, explicit, proof of the existence of Quot schemes of points. Pacific Journal of Mathematics. 401-415.
  • Show author(s) 2007. An elementary, explicit, proof of the existence of Hilbert schemes of points. Journal of Pure and Applied Algebra. 705-720.
  • Show author(s) 2006. On the cotangent cohomology of rational surface singularities with almost reduced fundamental cycle. Mathematische Nachrichten. 1185-1194.
  • Show author(s) 2006. A Simple Point Counting Algorithm for Hessian Elliptic Curves in Characteristic Three. Applicable Algebra in Engineering, Communication and Computing. 141-150.
  • Show author(s) 2004. The versal deformation space of a reflexive module on a rational cone. Journal of Algebra. 613-637.
  • Show author(s) 2003. Equisingular Deformation of Sandwiched Surface Singularities. Compositio Mathematica. 233-244.
Report
  • Show author(s) 2008. Lie-Rinehart cohomology and integrable connections on modules of rank one. .
  • Show author(s) 2008. Equivariant Lie-Rinehart cohomology. .
  • Show author(s) 2006. Connections on modules over singularities of finite CM representation type. .
  • Show author(s) 2006. Computing obstructions for existence of connections on modules. .
  • Show author(s) 2004. The versal deformation space of a maximal Cohen-Macaulay module on a simple singularity. 4. 4. .
  • Show author(s) 2003. The versal base space of a reflexive module on a rational cone. 33. 33. .
  • Show author(s) 2003. On the cotangent cohomology of rational surface singularities with almost reduced fundamental cycle. 35. 35. .
  • Show author(s) 2002. Bruk av Rijndael i MILENAGE og algebraiske angrep på AES. .
Lecture
  • Show author(s) 2017. Understanding and developing practices of reasoning in mathematics among in-service mathematics teachers.
Academic lecture
  • Show author(s) 2018. CHALLENGES OF MATHEMATICS TEACHERS WITH PROOF: OSCILLATING BETWEEN DIFFERENT EXPECTATIONS.
  • Show author(s) 2006. Connections on modules over singularities of finite CM representation type.
  • Show author(s) 2003. Implementing elliptic curve cryptosystems using Hesse curves over prime fields.
  • Show author(s) 2002. Model-based Risk Analysis of Security Critical Systems.
  • Show author(s) 2001. Deformations of Complete ideals in the plane.
Academic anthology/Conference proceedings
  • Show author(s) 2014. QED 5-10. Matematikk for grunnskolelærerutdanningen. Bind 2. Cappelen Damm Akademisk.
  • Show author(s) 2008. Generalized Lie Theory in Mathematics, Physics and Beyond. Springer.
Academic chapter/article/Conference paper
  • Show author(s) 2014. Matematikk med mening. 14 pages.
  • Show author(s) 2008. Connections on modules over singularities of finite and tame CM representation type. 10 pages.
Poster
  • Show author(s) 2016. Understanding and developing practices of reasoning in mathematics among pre-service and in-service mathematics teachers.

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