- E-mailGunnar.Floystad@uib.no
- Phone+47 55 58 28 40+47 941 42 752
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- Postal AddressPostboks 78035020 Bergen
- Commutative algebra
- Algebraic geometry
- Associative algebras
Academic article
- 2019. Solving non-linear Boolean equation systems by variable elimination. Applicable Algebra in Engineering, Communication and Computing. 1-45.
- 2019. Resolutions of co-letterplace ideals and generalizations of bier spheres. Transactions of the American Mathematical Society. 8733-8753.
- 2019. Pre- and post-lie algebras: The algebro-geometric view. Abel Symposia. 321-367.
- 2019. Poset Ideals of P-Partitions and Generalized Letterplace and Determinantal Ideals. Acta Mathematica Vietnamica. 213-241.
- 2018. The Chow form of the essential variety in computer vision. Journal of symbolic computation. 97-119.
- 2018. Rigid ideals by deforming quadratic letterplace ideals. Journal of Algebra. 413-457.
- 2017. Letterplace and co-letterplace ideals of posets. Journal of Pure and Applied Algebra. 1218-1241.
- 2016. Three themes of syzygies. Bulletin of the American Mathematical Society. 415-435.
- 2016. Resolutions of letterplace ideals of posets. Journal of Algebraic Combinatorics. 911-930.
- 2015. Zipping Tate resolutions and exterior coalgebras. Journal of Algebra. 249-307.
- 2015. The exterior algebra and central notions in mathematics. Notices of the American Mathematical Society. 336-371.
- 2014. Monomial algebras defined by Lyndon words. Journal of Algebra. 470-496.
- 2014. Borel degenerations of arithmetically Cohen-Macaulay curves in ℙ3. International journal of algebra and computation. 715-739.
- 2013. Triplets of pure free squarefree complexes. Journal of Commutative Algebra. 101-139.
- 2013. Brill-Noether theory for squarefree modules supported on a graph. Journal of Pure and Applied Algebra. 803-818.
- 2011. The existence of equivariant pure free resolutions. Annales de l'Institut Fourier. 901-926.
- 2011. The cone of Betti diagrams of bigraded artinian modules of codimension two. Abel Symposia. 1-16.
- 2011. The colorful Helly theorem and colorful resolutions of ideals. Journal of Pure and Applied Algebra. 1255-1262.
- 2011. The Auslander-Reiten translate on monomial ideals. Advances in Mathematics. 952-991.
- 2011. Grobner bases of syzygies and Stanley depth. Journal of Algebra. 178-189.
- 2011. Artin-Schelter regular algebras of dimension five. Banach Center Publications. 19-39.
- 2010. The linear space of Betti diagrams of multigraded Artinian modules. Mathematical Research Letters. 943-958.
- 2009. Geometric properties derived from generic initial spaces. Proceedings of the American Mathematical Society. 3619-3625.
- 2009. Cellular Resolution of Cohen-Macaulay Monomial Ideals. Journal of Commutative Algebra. 57-89.
- 2007. Enriched homology and cohomology modules of simplicial complexes. Journal of Algebraic Combinatorics. 285-307.
- 2007. Cohen-Macaulay cell complexes. Contemporary Mathematics. 205-220.
- 2006. PBW-deformations of N-Koszul algebras. Journal of Algebra. 116-155.
- 2006. Koszul duality and equivalences of categories. Transactions of the American Mathematical Society.
- 2005. (Bi)-Cohen-Macaulay simplicial complexes and their associated coherent sheaves. Communications in Algebra. 3121-3136.
- 2004. Exterior algebra resolutions arising from homogeneous bundles. Mathematica Scandinavica. 191-201.
- 2003. Sheaf cohomology and free resolutions over exterior algebras. Transactions of the American Mathematical Society. 4397-4426.
- 2002. (Bi-) Cohen-Macaulay simplicial complexes and their associated coherent sheaves. http://xxx.lanl.gov/abs/math.AG/0209061.
- 2001. Sheaf cohomology and exterior algebra resolutions. Mathematics, abstract.
- 2001. Exterior algebra resolutions arising from homogeneous bundles. Mathematics, abstract.
- 2000. Monads on projective spaces. Communications in Algebra. 5503-5516.
- 2000. Koszul duality and equivalences of categories. Mathematics, abstract.
- 2000. Describing coherent sheaves on projective spaces. Mathematics, abstract.
- 2000. Curves on normal surfaces. Transactions of the American Mathematical Society. 5485-5510.
- 1999. A property deducible from the generic initial ideal. Journal of Pure and Applied Algebra. 127-140.
- 1998. Higher initial ideals of homogeneous ideals. Memoirs of the American Mathematical Society. 68.
Report
- 2005. Cohen-Macaulay cell complexes. .
- 2004. PBW-deformations of N-Koszul algebras. .
- 2004. Enriched homology and cohomology modules of simplicial complexes. .
- 2003. Hierarchies of simplicial complexes via the BGG-correspondence. .
- 1997. A property deductible from the generic initied ideal. 9708020. 9708020. .
- 1994. Higher initial images of homogeneous ideals. 64. 64. .
- 1989. Construction of space curves with good properties. Report No.54 November 22 - 89. .
- 1987. Existence of unirational components of the Hilbert schemes of curves in p%3 which parametrizes smooth curves of high degree and genus. 52. 52. .
Lecture
- 2016. The interplay between combinatorics and commutative algebra.
Popular scientific lecture
- 1998. Monads in projective spaces.
- 1994. Higher Limited Images of Homogenous Ideals.
- 1994. Higher Limited Images of Homogenous Ideals.
- 1994. Applications to Space Curves.
Academic lecture
- 2020. Polarizations of graded maximal ideals.
- 2019. Polarizations of powers of maximal ideals in polynomial rings.
- 2019. Letterplace and co-letterplace ideals from P-partitions.
- 2018. Letterplace and co-letterplace ideals from P-partitions.
- 2017. The geometric side of commutative algebras, bilgebras, comodule algebras, comodule bialgebras ...
- 2017. Letterplace and co-letterplace ideals from partially ordered sets.
- 2016. The Chow form of the essential variety in computer vision.
- 2016. Rigid ideals by deforming letterplace ideals.
- 2016. Letterplace ideals from posets: A large class with unusually nice properties.
- 2015. The exterior algebra and central notions in mathematics.
- 2015. The exterior algebra and central notions in mathematics.
- 2015. Letterplace and co-letterplace ideals of posets.
- 2015. Letterplace and co-letterplace ideals of posets.
- 2014. Boij-Soederberg theory: Cones of homological invariants.
- 2014. Boij-Soederberg theory of coherent sheaves on projective spaces, and squarefree modules over polynomial rings.
- 2013. Zipping Tate resolutions over the exterior algebra to get free resolutions over the symmetric algebra.
- 2013. Zipping Tate resolutions and exterior coalgebras.
- 2013. How Tate resolutions compute the cohomology of coherent sheaves on projective spaces.
- 2013. Beyond pure resolutions and vector bundles with supernatural cohomology: Complexes associated to triplets.
- 2012. Triplets of pure free squarefree complexes.
- 2012. Tiplets of pure free squarefree complexes.
- 2012. Homologiske invarianter til graderte moduler over polynomringer og koherente knipper på projektive rom: Mulige tilnærminger.
- 2012. Extensions of Stanley-Reisner theory: Cell complexes and more.
- 2012. Boij-Soderberg theory.
- 2010. Borel ideals on the Hilbert scheme components of arithmetically Cohen-Macaulay space curves.
- 2010. Borel ideals on the Hilbert scheme components of arithmetically Cohen-Macaulay space curves.
- 2009. Multigraded Betti Diagrams of Z^n-graded Artinian Modules of Codimension n.
- 2009. Artin-Schelter regular algebras of dimension five.
- 2008. The colorful Helly theorem and colorful resolutions of ideals.
- 2008. The colorful Helly theorem and colorful resolutions of ideals.
- 2008. Existence of pure resolutions.
- 2007. The Auslander-Reiten translate on monomial ideals.
- 2007. Boij-Søderberg formodningen om graderte Bettitall.
- 2005. Cohen-Macaulay cell complexes.
- 2003. (Bi)-Cohen-Macaulay simplicial complexes and their associated coherent sheaves.
- 2002. On the exterior algebra.
- 2002. (Bi-) Cohen-Macaulay complexes and their associated coherent sheaves.
Academic anthology/Conference proceedings
- 2011. Combinatorial Aspects of Commutative Algebra and Algebraic Geometry: The Abel Symposium 2009. Springer.
Non-fiction book
- 2011. Combinatorial aspects of commutative algebra and algebraic geometry. Proceedings of the Abel Symposium held in Voss, June 1–4, 2009. Springer.
Compendium
- 1998. Monads on projective spaces.
Masters thesis
- 2017. En studie av letterplace- og co-letterplaceidealer over poset P med kardinalitet 2 eller 3.
- 2016. Tokamera-rekonstruksjon og Grøbnerbasar.
- 2013. Projective Hibi varieties.
- 2013. Degenerations of determinantal ideals to generalized Hibi ideals.
Doctoral dissertation
- 2013. Square-free modules and ideals: Brill–Noether theory, polarizations, and deformations.
- 1990. On space curves with good cohomological properties.
Academic chapter/article/Conference paper
- 2012. Boij-Soderberg theory: Introduction and survey. 54 pages.
More information in national current research information system (CRIStin)