- E-mailGunnar.Floystad@uib.no
- Phone+47 55 58 28 40
- Visitor AddressAllégaten 41Realfagbygget5007 Bergen
- Postal AddressPostboks 78035020 Bergen

Categorical and combinatorial aspects of algebra and geometry

Report

- (2022). MFO-RIMS Tandem Workshop: Symmetries on Polynomial Ideals and Varieties. 3. 3. .

- (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. .

More information in national current research information system (CRIStin)

Recent publications:

- Surprising occurrences of order structures in mathematics, preprint 2023, 23p.
- Combinatorial Hopf species and algebras from preorder cuts, preprint 2023, 40p.
- Polarizations of artin monomial ideals define triangulated balls, preprint 2022, 26p.
- Eight times four bialgebras of hypergraphs, cointeractions, and chromatic polynomials, preprint 2022, 24p.
- Partitions of vertices and facets in trees and stacked simplicial complexes, preprint 2022, 18p.
- Triangulations of polygons and stacked simplicial complexes: separating their Stanley-Reisner ideals, Journal of Algebraic Combinatorics, (2022), p.1-28.
- Shift modules, strongly stable ideals, and their dualities, Transactions of the American Mathematical Society (2023), 44p.
- Profunctors between posets and Alexander duality, Applied Categorical Structures, 31, (2023), p.1-30.
- The universal pre-Lie-Rinehart algebras of aromatic trees, Springer Proceedings of Mathematics and Statistics, 366, (2021), p.137-159.
- Polarizations of powers of graded maximal ideals, Journal of Pure and Applied Algebra, 226, no.5, (2022), 33p.
- Solving non-linear Boolean equation systems by variable eliminiation, Applicable algebra in Engineering, Communication and Computation, (2021) p.1-45.
- Poset ideals of P-partitions and generalized letterplace and determinantal ideals, Acta Mathematica Vietnamica, 44 (2019), no. 1, p.213-241, special issue on Commutative Algebra.
- Pre- and post-Lie algebras: The algebro-geometric view, Proceedings Abel Symposium 2016, 36p.
- Rigid ideals by deforming quadratic letterplace ideals, Journal of Algebra, 510 (2018), p.413-457.
- The Chow Form of the Essential Variety in Computer Vision , Journal of Symbolic Compuation 86 (2018), p.97-119.

- Leader TMS-funded project "Pure mathematics in Norway"
- Workshop: Category theory at work in computational mathematics and theoretical informatics, Bergen 26-30. June, 2023