Trond Stølen Gustavsen

Current positions:

List of publications:

  1. Gustavsen, T. S., Algebra cohomology and modifcations, (in Norwegian), M.Sc. thesis, Dept. of Math., Univ. of Oslo, (1994).
  2. Gustavsen, T. S., On the deductive approach in mathematical expositions, (in Norwegian), manuscript, (1995), 15 pages.
  3. Gustavsen, T. S., Topics in deformation and moduli theory for singularities on curves and surfaces, Ph.D. thesis, Dept. of Math., Univ. of Oslo, (1998), 174 pages.
  4. Christophersen, J. A. and Gustavsen, T. S., On infinitesimal deformations and obstructions for rational surface singularities, J. Algebraic Geom. 10 (2001), 179-198.
  5. Aksnes, B., Gustavsen, T. S., Moen, E. and Dyrkorn, L., Secure electronic cooperation at Aker University Hospital, (in Norwegian), project report, ISBN 82-7846-102-3, (2001).
  6. Gustavsen, T. S. and Køien, G. M., MILENAGE and Algebraic Attacks on AES, Scientific Document, Telenor R&D, 31 (2002).
  7. Gustavsen, T. S., On the use of exercises and solution manuals in teaching engineering mathematics, (in Norwegian), in "Artikler i høgskolepedagogikk", Agder College, (2002).
  8. Gustavsen, T. S., Houmb, S. H., Gran, B. A and Stølen, K., Model-based Risk Analysis of Security Critical Systems, In Proc. of the 7th Nordic Workshop on Secure It Systems, Simone Fischer-Hubner and Erland Jonsson (eds.), Karlstad University Press, Karlstad, (2002), 193-194.
  9. Gjøsæter, T., Haslum, K. and Gustavsen, T. S., Implementing elliptic curve cryptosystems using Hesse curves over prime fields, Proc. of the 8th Nordic Workshop on Secure It Systems, S. Knapskog (ed.), Dept. of Telematics, NTNU, (2003), 109-116.
  10. Gustavsen, T. S., Equisingular Deformation of Sandwiched Surface Singularities, Compositio Math. 138 (2003), 233-244.
  11. Gustavsen, T. S. and Ile, R., The versal deformation space of a refexive module on a rational cone, J. Algebra 279 (2004), no. 2, 613-637.
  12. Gustavsen, T. S. and Ranestad, K., A simple point counting algorithm for Hessian elliptic curves in characteristic three, Appl. Algebra Engrg. Comm. Comput. 17 (2006), no. 2, 141-150.
  13. Gustavsen, T. S., On the cotangent cohomology of rational surface singularities with almost reduced fundamental cycle, Math. Nachr. 279, (2006), no. 11, 1185-1194.
  14. Eriksen, E. and Gustavsen, T. S., Computing obstructions for existence of connections on modules, J. Symbolic Comput. 42, (2007), no. 3, 313-323.
  15. Gustavsen, T. S., Laksov, D. and Skjelnes, R. M., An elementary, explicit, proof of the existence of Hilbert schemes of points, J. Pure Appl. Algebra 210 (2007), no. 3, 705-720.
  16. Gustavsen, T. S., Laksov, D. and Skjelnes, R. M., An elementary, explicit, proof of the existence of Quot schemes of points, Pacifc J. Math. 231 (2007), no. 2, 401-415.
  17. Gustavsen, T. S. and Ile, R., Reflexive modules on normal surface singularities and representations of the local fundamental group, J. Pure Appl. Algebra 212 (2008), no. 4, 851-862.
  18. Eriksen, E. and Gustavsen, T. S., Connections on modules over singularities of nite CM representation type, J. Pure Appl. Algebra 212 (2008), no. 7, 1561-1574.
  19. Eriksen, E. and Gustavsen, T. S., Connections on modules over singularities of finite and tame CM representation type, Generalized Lie Theory in Mathematics, Physics and Beyond, Silvestrov, S., Paal, E. Abramov, V., Stolin, A. (eds.), 99-108, Springer, 2008.
  20. Gustavsen, T. S. and Ile, R., Representation theory for log-canonical surface singularities, Ann. Inst. Fourier, 10 (2010), 28 pages, forthcomming.
  21. Eriksen, E. and Gustavsen, T. S., Equivariant Lie-Rinehart cohomology, Proc. Estonian Acad. Sci., Vol. 4, (2010), 7 pages, forthcomming.
  22. Eriksen, E. and Gustavsen, T. S., Lie-Rinehart cohomology and integrable connections on rank one modules, (2008), 12 pages.