Martin G. Gulbrandsen
Department of Mathematics and Physics
University of Stavanger
NO-4036 Stavanger
Norway

Atelier: E-538, Kjølv Egelands hus
martin.gulbrandsen@uis.no
(+47) 51 83 18 08

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Professor in mathematics.

Research interests include abelian varieties, derived categories, geometric invariant theory and moduli spaces of sheaves.

I am a member of the Algebraic Geometry group at the University of Stavanger. During 2014--2018, the group hosts the project sheaves on abelian varieties, funded by the Research Council of Norway.

Students

  • Sammy Alaoui Soulimani (PhD candidate, present)
  • Andrea Ricolfi (PhD, 2017): Local Donaldson-Thomas invariants and their refinements
  • Alida Hjelljord (bachelor, 2018): Gröbner bases and their applications
  • Karianne Tesaker (bachelor, 2018): En introduksjon til representasjonsteori
  • Kristoffer Skjæveland Larsen (bachelor, 2016): Invariants of Binary Forms

Papers

With L. Halle, K. Hulek and Z. Zhang: The geometry of degenerations of Hilbert schemes of points
(Preprint on arXiv.)
With L. Halle and K. Hulek: A GIT construction of degenerations of Hilbert schemes of points
To appear in Documenta Math.
With M. Lahoz: Schottky via the punctual Hilbert scheme
Tohoku Math. J., 69 (2017), no. 4, pp 611-619 [original publication]
With A. Ricolfi: The Euler characteristic of the generalized Kummer scheme of an Abelian threefold
Geom. Dedicata., 182 (2016), Issue 1, pp 73-79 [original publication]
With L. Halle and K. Hulek: A relative Hilbert-Mumford criterion
Manuscripta Math. 148 (2015), Issue 3, pp 283-301 [original publication]

Further texts

Local aspects of geometric invariant theory
Lecture notes from a minicourse delivered at the Royal Institute of Technology (KTH), Stockholm.
Fibrations on generalized Kummer varieties
Series of dissertations submitted to the Faculty of Mathematics and Natural Sciences, University of Oslo, No. 537 (2006). ISSN 1501-7710. [erratum]
Hilbert schemes of linear group orbits in the affine plane
Cand. scient. thesis, University of Oslo, December 2000.

Links - maths resources

MathSciNet - Mathematical Reviews
UC Davis Front for the maths arXiv
JSTOR - The scholarly journal archive
Project Euclid - mathematics and statistics online
GDZ - Göttinger Digitalisierungs-Zentrum
Numdam - Numérisation de documents anciens mathématiques

Martin G. Gulbrandsen