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
Professor in mathematics.
Research interests include abelian varieties, derived categories,
geometric invariant theory and moduli
spaces of sheaves.
Students
- Sammy Alaoui Soulimani (PhD, 2023): Bridgeland Stability Conditions and the Hilbert Scheme of Skew Lines in Projective Space
- Andrea Ricolfi (PhD, 2017): Local Donaldson-Thomas invariants and their refinements
- Omega Zimba (master, 2023): The Unicity of a Blow-down
- Fredrik Myhre Gjerde (master lektor, 2021): Generaliseringer av Brianchon og Pascal sine teoremer om kjeglesnitt
- Endrit Kukalaj (master, 2020): Involutions of quadrics
- Didrik Seland (bachelor lektor, 2020): Knuter og rasjonale floker
- Olav Hansen Hjellup (bachelor lektor, 2020): Introduksjon i rasjonale floker
- Marius B. Mahiout (bachelor, 2019): Algebraic curves
- Fredrik Myhre Gjerde (bachelor lektor, 2019): En introduksjon til kjeglesnitt
- Alida Hjelljord (bachelor, 2018): Gröbner bases and their applications
- Karianne Tesaker (bachelor lektor, 2018): En introduksjon til representasjonsteori
- Kristoffer Skjæveland Larsen (bachelor, 2016): Invariants of Binary Forms
Papers
With S. Alaoui Soulimani:
Bridgeland stability conditions and skew lines in P³
To appear in Comm. Algebra.
To appear in Comm. Algebra.
With L. Halle, K. Hulek and Z. Zhang:
The geometry of degenerations of Hilbert schemes of points
J. Algebraic Geom. 30 (2021), pp 1-56 [original publication]
J. Algebraic Geom. 30 (2021), pp 1-56 [original publication]
With L. Halle and K. Hulek:
A GIT construction of degenerations of Hilbert schemes of points
Documenta Math., 24 (2019), pp 421-472 [original publication]
Documenta Math., 24 (2019), pp 421-472 [original publication]
With M. Lahoz:
Schottky via the punctual Hilbert scheme
Tohoku Math. J., 69 (2017), no. 4, pp 611-619 [original publication]
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]
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]
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]
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]
Fields Inst. Comm. 67, No. XXVI (2013), [original publication]
Vector bundles and monads on abelian threefolds
Comm. Algebra 41, No. 5 (2013) [original publication]
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]
Ann Inst. Fourier 61 (2011), no. 5 [original publication]
Stack structures on GIT quotients parametrizing hypersurfaces
Math. Nachr. 284, No. 7 (2011) [original publication]
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]
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]
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]
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]
Math. Scand. Vol 96 (2005). [original publication]
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]
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.
Cand. scient. thesis, University of Oslo, December 2000.
Links - maths resources
MathSciNet - 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
Not mathematics
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