Professor
• Phone+47 55 58 28 40+47 941 42 752
Allégaten 41
Realfagbygget
5007 Bergen
Postboks 7803
5020 Bergen
• Commutative algebra
• Algebraic geometry
• Associative algebras
• Show author(s) (2022). Polarizations of powers of graded maximal ideals. Journal of Pure and Applied Algebra. 33 pages.
• Show author(s) (2019). Solving non-linear Boolean equation systems by variable elimination. Applicable Algebra in Engineering, Communication and Computing. 3-47.
• Show author(s) (2019). Resolutions of co-letterplace ideals and generalizations of bier spheres. Transactions of the American Mathematical Society. 8733-8753.
• Show author(s) (2019). Pre- and post-lie algebras: The algebro-geometric view. Abel Symposia. 321-367.
• Show author(s) (2019). Poset Ideals of P-Partitions and Generalized Letterplace and Determinantal Ideals. Acta Mathematica Vietnamica. 213-241.
• Show author(s) (2018). The Chow form of the essential variety in computer vision. Journal of symbolic computation. 97-119.
• Show author(s) (2018). Rigid ideals by deforming quadratic letterplace ideals. Journal of Algebra. 413-457.
• Show author(s) (2017). Letterplace and co-letterplace ideals of posets. Journal of Pure and Applied Algebra. 1218-1241.
• Show author(s) (2016). Three themes of syzygies. Bulletin of the American Mathematical Society. 415-435.
• Show author(s) (2016). Resolutions of letterplace ideals of posets. Journal of Algebraic Combinatorics. 911-930.
• Show author(s) (2015). Zipping Tate resolutions and exterior coalgebras. Journal of Algebra. 249-307.
• Show author(s) (2015). The exterior algebra and central notions in mathematics. Notices of the American Mathematical Society. 336-371.
• Show author(s) (2014). Monomial algebras defined by Lyndon words. Journal of Algebra. 470-496.
• Show author(s) (2014). Borel degenerations of arithmetically Cohen-Macaulay curves in ℙ3. International journal of algebra and computation. 715-739.
• Show author(s) (2013). Triplets of pure free squarefree complexes. Journal of Commutative Algebra. 101-139.
• Show author(s) (2013). Brill-Noether theory for squarefree modules supported on a graph. Journal of Pure and Applied Algebra. 803-818.
• Show author(s) (2011). The existence of equivariant pure free resolutions. Annales de l'Institut Fourier. 901-926.
• Show author(s) (2011). The cone of Betti diagrams of bigraded artinian modules of codimension two. Abel Symposia. 1-16.
• Show author(s) (2011). The colorful Helly theorem and colorful resolutions of ideals. Journal of Pure and Applied Algebra. 1255-1262.
• Show author(s) (2011). The Auslander-Reiten translate on monomial ideals. Advances in Mathematics. 952-991.
• Show author(s) (2011). Grobner bases of syzygies and Stanley depth. Journal of Algebra. 178-189.
• Show author(s) (2011). Artin-Schelter regular algebras of dimension five. Banach Center Publications. 19-39.
• Show author(s) (2010). The linear space of Betti diagrams of multigraded Artinian modules. Mathematical Research Letters. 943-958.
• Show author(s) (2009). Geometric properties derived from generic initial spaces. Proceedings of the American Mathematical Society. 3619-3625.
• Show author(s) (2009). Cellular Resolution of Cohen-Macaulay Monomial Ideals. Journal of Commutative Algebra. 57-89.
• Show author(s) (2007). Enriched homology and cohomology modules of simplicial complexes. Journal of Algebraic Combinatorics. 285-307.
• Show author(s) (2007). Cohen-Macaulay cell complexes. Contemporary Mathematics. 205-220.
• Show author(s) (2006). PBW-deformations of N-Koszul algebras. Journal of Algebra. 116-155.
• Show author(s) (2006). Koszul duality and equivalences of categories. Transactions of the American Mathematical Society.
• Show author(s) (2005). (Bi)-Cohen-Macaulay simplicial complexes and their associated coherent sheaves. Communications in Algebra. 3121-3136.
• Show author(s) (2004). Exterior algebra resolutions arising from homogeneous bundles. Mathematica Scandinavica. 191-201.
• Show author(s) (2003). Sheaf cohomology and free resolutions over exterior algebras. Transactions of the American Mathematical Society. 4397-4426.
• Show author(s) (2002). (Bi-) Cohen-Macaulay simplicial complexes and their associated coherent sheaves. http://xxx.lanl.gov/abs/math.AG/0209061.
• Show author(s) (2001). Sheaf cohomology and exterior algebra resolutions. Mathematics, abstract.
• Show author(s) (2001). Exterior algebra resolutions arising from homogeneous bundles. Mathematics, abstract.
• Show author(s) (2000). Monads on projective spaces. Communications in Algebra. 5503-5516.
• Show author(s) (2000). Koszul duality and equivalences of categories. Mathematics, abstract.
• Show author(s) (2000). Describing coherent sheaves on projective spaces. Mathematics, abstract.
• Show author(s) (2000). Curves on normal surfaces. Transactions of the American Mathematical Society. 5485-5510.
• Show author(s) (1999). A property deducible from the generic initial ideal. Journal of Pure and Applied Algebra. 127-140.
• Show author(s) (1998). Higher initial ideals of homogeneous ideals. Memoirs of the American Mathematical Society. 68.
Report
• Show author(s) (2005). Cohen-Macaulay cell complexes. .
• Show author(s) (2004). PBW-deformations of N-Koszul algebras. .
• Show author(s) (2004). Enriched homology and cohomology modules of simplicial complexes. .
• Show author(s) (2003). Hierarchies of simplicial complexes via the BGG-correspondence. .
• Show author(s) (1997). A property deductible from the generic initied ideal. 9708020. 9708020. .
• Show author(s) (1994). Higher initial images of homogeneous ideals. 64. 64. .
• Show author(s) (1989). Construction of space curves with good properties. Report No.54 November 22 - 89. .
• Show author(s) (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
• Show author(s) (2016). The interplay between combinatorics and commutative algebra.
Popular scientific lecture
• Show author(s) (1998). Monads in projective spaces.
• Show author(s) (1994). Higher Limited Images of Homogenous Ideals.
• Show author(s) (1994). Higher Limited Images of Homogenous Ideals.
• Show author(s) (1994). Applications to Space Curves.
• Show author(s) (2021). Very nice families of deformations.
• Show author(s) (2021). Strongly stable ideals, shift modules, and their dualities.
• Show author(s) (2021). Profunctors between posets: Applications in algebra and combinatorics.
• Show author(s) (2021). Profunctors between posets and preserving cuts.
• Show author(s) (2021). Profunctors between posets and Alexander duality.
• Show author(s) (2021). Adjunctions for simplicial complexes.
• Show author(s) (2020). Polarizations of graded maximal ideals.
• Show author(s) (2019). Polarizations of powers of maximal ideals in polynomial rings.
• Show author(s) (2019). Letterplace and co-letterplace ideals from P-partitions.
• Show author(s) (2018). Letterplace and co-letterplace ideals from P-partitions.
• Show author(s) (2017). The geometric side of commutative algebras, bilgebras, comodule algebras, comodule bialgebras ...
• Show author(s) (2017). Letterplace and co-letterplace ideals from partially ordered sets.
• Show author(s) (2016). The Chow form of the essential variety in computer vision.
• Show author(s) (2016). Rigid ideals by deforming letterplace ideals.
• Show author(s) (2016). Letterplace ideals from posets: A large class with unusually nice properties.
• Show author(s) (2015). The exterior algebra and central notions in mathematics.
• Show author(s) (2015). The exterior algebra and central notions in mathematics.
• Show author(s) (2015). Letterplace and co-letterplace ideals of posets.
• Show author(s) (2015). Letterplace and co-letterplace ideals of posets.
• Show author(s) (2014). Boij-Soederberg theory: Cones of homological invariants.
• Show author(s) (2014). Boij-Soederberg theory of coherent sheaves on projective spaces, and squarefree modules over polynomial rings.
• Show author(s) (2013). Zipping Tate resolutions over the exterior algebra to get free resolutions over the symmetric algebra.
• Show author(s) (2013). Zipping Tate resolutions and exterior coalgebras.
• Show author(s) (2013). How Tate resolutions compute the cohomology of coherent sheaves on projective spaces.
• Show author(s) (2013). Beyond pure resolutions and vector bundles with supernatural cohomology: Complexes associated to triplets.
• Show author(s) (2012). Triplets of pure free squarefree complexes.
• Show author(s) (2012). Tiplets of pure free squarefree complexes.
• Show author(s) (2012). Homologiske invarianter til graderte moduler over polynomringer og koherente knipper på projektive rom: Mulige tilnærminger.
• Show author(s) (2012). Extensions of Stanley-Reisner theory: Cell complexes and more.
• Show author(s) (2012). Boij-Soderberg theory.
• Show author(s) (2010). Borel ideals on the Hilbert scheme components of arithmetically Cohen-Macaulay space curves.
• Show author(s) (2010). Borel ideals on the Hilbert scheme components of arithmetically Cohen-Macaulay space curves.
• Show author(s) (2009). Multigraded Betti Diagrams of Z^n-graded Artinian Modules of Codimension n.
• Show author(s) (2009). Artin-Schelter regular algebras of dimension five.
• Show author(s) (2008). The colorful Helly theorem and colorful resolutions of ideals.
• Show author(s) (2008). The colorful Helly theorem and colorful resolutions of ideals.
• Show author(s) (2008). Existence of pure resolutions.
• Show author(s) (2007). The Auslander-Reiten translate on monomial ideals.
• Show author(s) (2007). Boij-Søderberg formodningen om graderte Bettitall.
• Show author(s) (2005). Cohen-Macaulay cell complexes.
• Show author(s) (2003). (Bi)-Cohen-Macaulay simplicial complexes and their associated coherent sheaves.
• Show author(s) (2002). On the exterior algebra.
• Show author(s) (2002). (Bi-) Cohen-Macaulay complexes and their associated coherent sheaves.
• Show author(s) (2011). Combinatorial Aspects of Commutative Algebra and Algebraic Geometry: The Abel Symposium 2009. Springer.
Non-fiction book
• Show author(s) (2011). Combinatorial aspects of commutative algebra and algebraic geometry. Proceedings of the Abel Symposium held in Voss, June 1–4, 2009. Springer.
Compendium
• Show author(s) (1998). Monads on projective spaces.
Masters thesis
• Show author(s) (2017). En studie av letterplace- og co-letterplaceidealer over poset P med kardinalitet 2 eller 3.
• Show author(s) (2016). Tokamera-rekonstruksjon og Grøbnerbasar.
• Show author(s) (2013). Projective Hibi varieties.
• Show author(s) (2013). Degenerations of determinantal ideals to generalized Hibi ideals.
Doctoral dissertation
• Show author(s) (2013). Square-free modules and ideals: Brill–Noether theory, polarizations, and deformations.
• Show author(s) (1990). On space curves with good cohomological properties.