# Trond Stølen Gustavsen

Professor
• E-mailTrond.Gustavsen@uib.no
Allégaten 41
Realfagbygget
5007 Bergen
Postboks 7803
5020 Bergen
Textbook
• Show author(s) (2022). QED1-7 Matematikk for grunnskolelærerutdanningen, Bind 1, 2. utgave. Cappelen Damm Akademisk.
• 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.
• 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) (2022). EvaFag 2025: Evaluering av Fagfornyelsen. Realiseringer av læreplanen i spesifikke fag. Arbeidspakke 1, Delrapport 1. .
• 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.
• Show author(s) (2022). Proof based teaching of fractions - a pilot study.
• Show author(s) (2021). Caught In-between tensions in teaching proof and proving.
• 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.