Martin G. Gulbrandsen
Atelier: E-538, Kjølv Egelands hus
Associate professor in mathematics.
There is hope: Theory of vector bundles honoured in Congress
Algebraic geometry at UiSThe algebraic geometry group consists, as of 2014, of Lars Halle (associate professor), Magnar Dale (associate professor), Andrea Ricolfi (PhD student) and myself. We run a weekly seminar.
In 2014, the project Sheaves on abelian varieties begins; it is funded by the Research Council of Norway through the Young Research Talent category within the Independent Projects funding scheme. The partners are Martí Lahoz (Paris), Ciaran Meachan (Edinburgh) and Daniel Huybrechts (Bonn), and I am project leader. Major components of the project are the hiring of a PhD student in 2014 and a postdoc in 2015, and two workshops to be held in 2015 and 2017 in Stavanger.
Together with Johannes Nicaise, Lars Halle organizes the 2014 Nordfjordeid summer school on Toric degenerations and mirror symmetry.
Student(s)Andrea Ricolfi (PhD candidate)
With L. Halle and K. Hulek: A relative Hilbert-Mumford criterion
(preprint at the arXiv, 2014)
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]
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 Reviews
UC Davis Front for the maths arXiv
JSTOR - The scholarly journal archive
GDZ - Göttinger Digitalisierungs-Zentrum
Numdam - Numérisation de documents anciens mathématiques