Martin G. Gulbrandsen
Atelier: E-538, Kjølv Egelands hus
Professor in mathematics. |
## Algebraic geometry at UiSThe algebraic geometry group consists, as of 2015, of Michal Kapustka (associate professor) and myself, Magnar Dale (emeritus) and a variable number of postdocs/PhD candidates. We run a weekly seminar.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* - 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]
Donaldson-Thomas invariants for complexes on abelian threefolds
Math. Z. 273 (2013), Issue 1-2, pp 219-236 [original publication]
Counting sheaves on Calabi-Yau and abelian threefolds
Fields Inst. Comm. 67, No. XXVI (2013), [original publication]
Vector bundles and monads on abelian threefolds
Comm. Algebra 41, No. 5 (2013) [original publication]
With M. Lahoz:
Finite subschemes of abelian varieties and the Schottky problem
Ann Inst. Fourier 61 (2011), no. 5 [original publication]
Stack structures on GIT quotients parametrizing hypersurfaces
Math. Nachr. 284, No. 7 (2011) [original publication]
Fourier-Mukai transforms of line bundles on derived equivalent abelian varieties
Le Matematiche Vol. LXIII (2008), Fasc. I, 123--137. [original publication]
Lagrangian fibrations
on generalized Kummer varieties
Bull. SMF. 135 (2007), no. 2, 283--298. [original publication]
Computing the Euler characteristic
of generalized Kummer varieties
Ark. Mat. 45 (2007), no. 1, 49--60. [original publication]
A partial resolution of the punctual
Hilbert scheme of a nonsingular surface
Math. Scand. Vol 96 (2005). [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 resourcesMathSciNet - Mathematical ReviewsUC 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