Categorical and combinatorial aspects of algebra and geometryThe five-sequence of adjoints for combinatorial simplicial complexes

Spring 2023: MAT121 Linear algebra

Autumn 2023: MAT224 Commutative algebra, MAT642 History of mathematics in ancient times

Spring 2024: MAT643 History of mathematics in recent times

Autumn 2024: Sabbatical

Spring 2025: MAT112 Calculus II, MAT227 Combinatorics

Autumn 2025: MAT221 Discrete mathematics

Spring 2026: MAT228 Algebraic structures 

Autumn 2026: MAT224 Commutative algebra

Academic article

• Gunnar Fløystad (2026). Combinatorial Hopf algebras from restriction species with preorder cuts. (external link)
• Gunnar Fløystad (2025). SURPRISING OCCURRENCES OF ORDER STRUCTURES IN MATHEMATICS. (external link)
• Gunnar Fløystad (2015). Zipping Tate resolutions and exterior coalgebras. (external link)
• Gunnar Fløystad; Jürgen Herzog (2011). Grobner bases of syzygies and Stanley depth. (external link)
• Gunnar Fløystad; Jon Eivind Vatne (2006). PBW-deformations of N-Koszul algebras. (external link)
• Gunnar Fløystad; Hans Munthe-Kaas (2019). Pre- and post-lie algebras: The algebro-geometric view. (external link)
• Gunnar Fløystad; Margherita Roggero (2014). Borel degenerations of arithmetically Cohen-Macaulay curves in ℙ3. (external link)
• Tatiena Gateva-Ivanova; Gunnar Fløystad (2014). Monomial algebras defined by Lyndon words. (external link)
• Gunnar Fløystad (2000). Monads on projective spaces. (external link)
• Alessio D'Ali; Gunnar Fløystad; Amin Nematbakhsh (2019). Resolutions of co-letterplace ideals and generalizations of bier spheres. (external link)
• Gunnar Fløystad; Hans Munthe-Kaas; Dominique Manchon (2021). The universal pre-Lie Rinehart algebras of aromatic trees. (external link)
• Gunnar Fløystad (2004). Exterior algebra resolutions arising from homogeneous bundles. (external link)
• Gunnar Fløystad (2019). Poset Ideals of P-Partitions and Generalized Letterplace and Determinantal Ideals. (external link)
• Gunnar Fløystad (2010). The linear space of Betti diagrams of multigraded Artinian modules. (external link)
• Gunnar Fløystad (2013). Triplets of pure free squarefree complexes. (external link)
• Gunnar Fløystad; Morten Brun (2011). The Auslander-Reiten translate on monomial ideals. (external link)
• David Eisenbud; Gunnar Fløystad; Jerzy Weyman (2011). The existence of equivariant pure free resolutions. (external link)
• Gunnar Fløystad; Mats Boij (2011). The cone of Betti diagrams of bigraded artinian modules of codimension two. (external link)
• Gunnar Fløystad (2000). Koszul duality and equivalences of categories. (external link)
• Gunnar Fløystad (2000). Describing coherent sheaves on projective spaces. (external link)
• Gunnar Fløystad (2000). Curves on normal surfaces. (external link)
• Gunnar Fløystad; Henning Lohne (2013). Brill-Noether theory for squarefree modules supported on a graph. (external link)
• Gunnar Fløystad (2011). The colorful Helly theorem and colorful resolutions of ideals. (external link)
• Jon Eivind Vatne; Gunnar Fløystad (2002). (Bi-) Cohen-Macaulay simplicial complexes and their associated coherent sheaves. (external link)
• Gunnar Fløystad; Bjørn Møller Greve; Jürgen Herzog (2017). Letterplace and co-letterplace ideals of posets. (external link)
• Gunnar Fløystad; Milo Orlich (2022). Triangulations of polygons and stacked simplicial complexes: separating their Stanley–Reisner ideals. (external link)
• Gunnar Fløystad; Jon Eivind Vatne (2011). Artin-Schelter regular algebras of dimension five. (external link)
• Gunnar Fløystad; Joe Kileel; Giorgio Ottaviani (2018). The Chow form of the essential variety in computer vision. (external link)
• Ayah Almousa; Gunnar Fløystad; Henning Lohne (2022). Polarizations of powers of graded maximal ideals. (external link)
• David Eisenbud; Gunnar Fløystad; Frank-Olaf Schreyer (2003). Sheaf cohomology and free resolutions over exterior algebras. (external link)
• Gunnar Fløystad; Jason McCullough; Irena Peeva (2016). Three themes of syzygies. (external link)
• Gunnar Fløystad (2001). Exterior algebra resolutions arising from homogeneous bundles. (external link)
• Gunnar Fløystad; Jon Eivind Vatne (2005). (Bi)-Cohen-Macaulay simplicial complexes and their associated coherent sheaves. (external link)
• David Eisenbud; Gunnar Fløystad; Frank-Olaf Schreyer (2001). Sheaf cohomology and exterior algebra resolutions. (external link)
• Gunnar Fløystad (1999). A property deducible from the generic initial ideal. (external link)
• Gunnar Fløystad (2006). Koszul duality and equivalences of categories. (external link)
• Gunnar Fløystad (2023). Profunctors Between Posets and Alexander Duality. (external link)
• Alessio D'Ali; Gunnar Fløystad; Amin Nematbakhsh (2016). Resolutions of letterplace ideals of posets. (external link)
• Gunnar Fløystad (2015). The exterior algebra and central notions in mathematics. (external link)
• Gunnar Fløystad; Amin Nematbakhsh (2018). Rigid ideals by deforming quadratic letterplace ideals. (external link)
• Gunnar Fløystad (2007). Enriched homology and cohomology modules of simplicial complexes. (external link)
• Gunnar Fløystad (2007). Cohen-Macaulay cell complexes. (external link)
• Gunnar Fløystad (2009). Cellular Resolution of Cohen-Macaulay Monomial Ideals. (external link)
• Gunnar Fløystad; Mike Stillman (2009). Geometric properties derived from generic initial spaces. (external link)
• Kurusch Ebrahimi-Fard; Gunnar Fløystad (2024). Eight Times Four Bialgebras of Hypergraphs, Cointeractions, and Chromatic Polynomials. (external link)
• Gunnar Fløystad (2024). Partitions of Vertices and Facets in Trees and Stacked Simplicial Complexes. (external link)
• Gunnar Fløystad (2023). SHIFT MODULES, STRONGLY STABLE IDEALS, AND THEIR DUALITIES. (external link)
• Gunnar Fløystad (1998). Higher initial ideals of homogeneous ideals. (external link)
• Bjørn Møller Greve; Øyvind Ytrehus; Håvard Raddum et al. (2019). Solving non-linear Boolean equation systems by variable elimination. (external link)

Master’s thesis

• Ine Gabrielsen; Gunnar Fløystad (2024). Polariseringer av artinske monomidealer assosiert til simplisielle komplekser. (external link)
• Kristian Ålen; Gunnar Fløystad (2024). Stanley-Reisner ideals associated with triangulations. (external link)
• Tobias Friedl; Gunnar Fløystad (2013). Projective Hibi varieties. (external link)
• Gunnar Fløystad; Bjørn Møller Greve (2013). Degenerations of determinantal ideals to generalized Hibi ideals. (external link)
• Gunnar Fløystad; Nils Petter Storset (2017). En studie av letterplace- og co-letterplaceidealer over poset P med kardinalitet 2 eller 3.. (external link)
• Gunnar Fløystad; Kristine Njøs Slinde (2016). Tokamera-rekonstruksjon og Grøbnerbasar. (external link)

Conference lecture

• Gunnar Fløystad; Jon Eivind Vatne (2003). (Bi)-Cohen-Macaulay simplicial complexes and their associated coherent sheaves. (external link)
• Gunnar Fløystad (2007). Boij-Søderberg formodningen om graderte Bettitall. (external link)
• Gunnar Fløystad (2007). The Auslander-Reiten translate on monomial ideals. (external link)
• Gunnar Fløystad (2016). The Chow form of the essential variety in computer vision. (external link)
• Gunnar Fløystad (2016). Rigid ideals by deforming letterplace ideals. (external link)
• Gunnar Fløystad (2016). Letterplace ideals from posets: A large class with unusually nice properties. (external link)
• Gunnar Fløystad (2014). Boij-Soederberg theory: Cones of homological invariants. (external link)
• Gunnar Fløystad (2005). Cohen-Macaulay cell complexes. (external link)
• Gunnar Fløystad (2008). The colorful Helly theorem and colorful resolutions of ideals. (external link)
• Gunnar Fløystad (2008). Existence of pure resolutions. (external link)
• Gunnar Fløystad (2008). The colorful Helly theorem and colorful resolutions of ideals. (external link)
• Gunnar Fløystad (2015). The exterior algebra and central notions in mathematics. (external link)
• Gunnar Fløystad (2013). How Tate resolutions compute the cohomology of coherent sheaves on projective spaces. (external link)
• Gunnar Fløystad (2015). The exterior algebra and central notions in mathematics. (external link)
• Gunnar Fløystad (2015). Letterplace and co-letterplace ideals of posets. (external link)
• Gunnar Fløystad (2015). Letterplace and co-letterplace ideals of posets. (external link)
• Gunnar Fløystad (2012). Homologiske invarianter til graderte moduler over polynomringer og koherente knipper på projektive rom: Mulige tilnærminger. (external link)
• Gunnar Fløystad; Margherita Roggero (2010). Borel ideals on the Hilbert scheme components of arithmetically Cohen-Macaulay space curves. (external link)
• Gunnar Fløystad (2013). Zipping Tate resolutions and exterior coalgebras. (external link)
• Gunnar Fløystad (2013). Beyond pure resolutions and vector bundles with supernatural cohomology: Complexes associated to triplets. (external link)
• Gunnar Fløystad (2013). Zipping Tate resolutions over the exterior algebra to get free resolutions over the symmetric algebra. (external link)
• Gunnar Fløystad (2019). Polarizations of powers of maximal ideals in polynomial rings. (external link)
• Gunnar Fløystad (2017). Letterplace and co-letterplace ideals from partially ordered sets. (external link)
• Gunnar Fløystad (2017). The geometric side of commutative algebras, bilgebras, comodule algebras, comodule bialgebras .... (external link)
• Gunnar Fløystad (2018). Letterplace and co-letterplace ideals from P-partitions. (external link)
• Gunnar Fløystad (2014). Boij-Soederberg theory of coherent sheaves on projective spaces, and squarefree modules over polynomial rings. (external link)
• Gunnar Fløystad (2019). Letterplace and co-letterplace ideals from P-partitions. (external link)
• Gunnar Fløystad (2009). Artin-Schelter regular algebras of dimension five. (external link)
• Gunnar Fløystad (2009). Multigraded Betti Diagrams of Z^n-graded Artinian Modules of Codimension n. (external link)
• Gunnar Fløystad (2020). Polarizations of graded maximal ideals. (external link)
• Gunnar Fløystad (2021). Profunctors between posets and preserving cuts. (external link)
• Gunnar Fløystad (2021). Adjunctions for simplicial complexes. (external link)
• Gunnar Fløystad (2021). Very nice families of deformations. (external link)
• Gunnar Fløystad; Margherita Roggero (2010). Borel ideals on the Hilbert scheme components of arithmetically Cohen-Macaulay space curves. (external link)
• Gunnar Fløystad (2021). Strongly stable ideals, shift modules, and their dualities. (external link)
• Gunnar Fløystad (2021). Profunctors between posets and Alexander duality. (external link)
• Gunnar Fløystad (2012). Tiplets of pure free squarefree complexes. (external link)
• Gunnar Fløystad (2021). Profunctors between posets: Applications in algebra and combinatorics. (external link)
• Gunnar Fløystad (2012). Triplets of pure free squarefree complexes. (external link)
• Gunnar Fløystad (2002). On the exterior algebra. (external link)
• Jon Eivind Vatne; Gunnar Fløystad (2002). (Bi-) Cohen-Macaulay complexes and their associated coherent sheaves. (external link)
• Gunnar Fløystad (2012). Boij-Soderberg theory. (external link)
• Gunnar Fløystad (2012). Extensions of Stanley-Reisner theory: Cell complexes and more. (external link)

Research report

• Gunnar Fløystad (1994). Higher initial images of homogeneous ideals. (external link)
• Gunnar Fløystad; Jon Eivind Vatne (2004). PBW-deformations of N-Koszul algebras. (external link)
• Gunnar Fløystad (2004). Enriched homology and cohomology modules of simplicial complexes. (external link)
• Gunnar Fløystad (1997). A property deductible from the generic initied ideal. (external link)
• Gunnar Fløystad (1987). Existence of unirational components of the Hilbert schemes of curves in p%3 which parametrizes smooth curves of high degree and genus. (external link)
• Gunnar Fløystad; Cordian Riener; Satoshi Murai et al. (2022). MFO-RIMS Tandem Workshop: Symmetries on Polynomial Ideals and Varieties. (external link)
• Gunnar Fløystad (2003). Hierarchies of simplicial complexes via the BGG-correspondence. (external link)
• Gunnar Fløystad (1989). Construction of space curves with good properties. Report No.54 November 22 - 89. (external link)
• Gunnar Fløystad (2005). Cohen-Macaulay cell complexes. (external link)

Working paper

• Gunnar Fløystad (1998). Monads on projective spaces. (external link)

Doctoral thesis (PhD)

• Gunnar Fløystad (1990). On space curves with good cohomological properties. (external link)
• Henning Lohne; Gunnar Fløystad (2013). Square-free modules and ideals: Brill–Noether theory, polarizations, and deformations.. (external link)

Academic book chapter

• Gunnar Fløystad (2012). Boij-Soderberg theory: Introduction and survey. (external link)

Book anthology

• Gunnar Fløystad; Trygve Johnsen; Andreas Leopold Knutsen (2011). Combinatorial Aspects of Commutative Algebra and Algebraic Geometry: The Abel Symposium 2009. (external link)

Non-fiction monograph

• Andreas Leopold Knutsen; Trygve Johnsen; Gunnar Fløystad (2011). Combinatorial aspects of commutative algebra and algebraic geometry. Proceedings of the Abel Symposium held in Voss, June 1–4, 2009. (external link)

Lecture

• Gunnar Fløystad (2016). The interplay between combinatorics and commutative algebra. (external link)
• Gunnar Fløystad (1994). Applications to Space Curves. (external link)
• Gunnar Fløystad (1994). Higher Limited Images of Homogenous Ideals. (external link)
• Gunnar Fløystad (1994). Higher Limited Images of Homogenous Ideals. (external link)
• Gunnar Fløystad (1998). Monads in projective spaces. (external link)

See a complete overview of publications in NVA.

    Recent publications:

• The five-sequence of adjoints for combinatorial simplicial complexes, arXiv preprint 2026, 23p.
• Polarizations of Artin monomial ideals, arXiv preprint 2025, 46p, to appear in Algebraic Combinatorics.
• Submodular functions, generalized permutahedra, conforming preorders, and cointeracting bialgebras, arXiv preprint 2024, 48p.
• Surprising occurrences of order structures in mathematics, Journal of Computational Dynamics (2024), p.1-23.
• Combinatorial Hopf algebras and restriction species from preorder cuts, Advances in Applied Mathematics, 176, (2026), 50p.
• Eight times four bialgebras of hypergraphs, cointeractions, and chromatic polynomials, International Mathematics Research Notices (2024).
• Partitions of vertices and facets in trees and stacked simplicial complexes,  Graphs and Combinatorics (2024), p. 1-22.
• 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.

 

• Key member, TMF-project, Lie-størmer-center
• Leader TMS-funded project "Pure mathematics in Norway" 2022-2025
• Workshop: Category theory at work in computational mathematics and theoretical informatics, Bergen 26-30. June, 2023
• Day seminar: Kategoriteori i Norge, Bergen 25. april 2025