Position: Professor

Office : Room 541 in Carl L.Godskes hus

Address : Johannes Brunsgt. 12, 5008 Bergen

Email : nmagf@uib.no

Tel. work : +47 55 58 28 40

Fax.: +47 55 58 96 72

Teaching

Scientific administration

Present and former students

Some papers

- Resolutions over polynomial rings
- Coherent sheaves on projective spaces and their homological invariants
- Combinatorial commutative algebra
- Interactions with representation theory

- Associative algebras, Koszul algebras and Koszul duality
- Algebraic operads
- Pre- and post-Lie algebras
- Interactions with computational mathematics

** Spring 2017 ** I teach
MAT325 Algebraic structures . The syllabus is from:

- Loday, Valette: Algebraic operads, Springer 2012.

- Leader of the Research Selection of the Norwegian Mathematics Council.
- Organizer of the summer school in Nordfjordeid 2017: Homological aspects of commutative algebra .
- Member of scientific committee, Algebra, Geometry, Mathematical Physics 2016, Tromsø Algebra, Geometry, Mathematical Physics 2016 , Tromsø 30.June - 1.July
- Organizer of Stein Arild Strømme memorial seminar , Bergen 8-9. May, 2015.

- Henning Lohne, 2013 :
- Square-free modules and ideals: Brill-Noether theory, polarization, and deformations.

- Amin Nematbakhsh, IPM Teheran (external advisor), 2017:
- Algebraic and Geometric Properties of Ideals of Poset Homomorphisms

- Nils Petter Storset: Letterplace ideals
- Kristine Njøs Slinde: Gröbner bases and photogrammetry, 2016
- Tobias Friedl: Projective Hibi varieties, 2013
- Bjørn Møller Greve: Degenerations of determinantal ideals
to generalized Hibi ideals, 2013.
- Pre- and post-Lie algebras: The algebro-geometric view, preprint, 36p.
- Rigid ideals by deforming quadratic letterplace ideals preprint, 32p.
- The Chow Form of the Essential Variety in Computer Vision, Journal of Symbolic Compuation, 2017, 23p.
- Resolutions of co-letterplace ideals and generalizations of Bier spheres, preprint, 21p.
- Resolutons of letterplace ideals of posets , Journal of Algebraic Combinatorics, 2016, 1-20 .
- Three themes on syzygies, Bulletin of the American Mathematical Society, 53 (2016), no.3, pp.415-435.
- Letterplace and co-letterplace ideals of posets, , journal article: Journal of Pure and Applied Algebra 221, no.5 (2017), 1218-1241 .
- Zipping Tate resolutions and exterior coalgebras, Journal of Algebra, 437 (2015), 249-307.
- Monomial algebras defined by Lyndon words, J. Algebra 403 (2014), 470-496.
- Triplets of pure free squarefree complexes, J. Commut. Algebra 5 (2013), no. 1, 101-139.
- Brill-Noether theory of squarefree modules supported on a graph, J. Pure Appl. Algebra 217 (2013), no. 5, 803-818.
- Borel degenerations of arithmetically Cohen-Macaulay curves in three dimensional projective space, Internat. J. Algebra Comput. 24 (2014), no. 5, 715-739.
- Boij-Söderberg theory: Introduction and survey, Progress in Commutative Algebra 1: Combinatorics and Homology, de Gruyter, eds. C. Francisco et.al., 2012, 54p.
- The exterior algebra and central notions in mathematics , Notices of the American Mathematical Society 62 (2015), no 4, p.364-371. Here is the Arxiv version of the same paper.
- Ideals and guidelines for writing mathematical papers , 12 pages. Norwegian version Idealer og retningslinjer når man skriver matematiske artikler , 12 sider.
- Stanley-Reisner theory and letterplace ideals of posets slides April 2016, elementary version of the following slides.
- Letterplace ideals of posets: A large class of ideals with unusually nice properties , slides March 2016.
- Beyond pure resolutions and vector bundles with supernatural cohomology: Complexes associated to triplets of degree sequences , slides November 2012 and February 2013.

Some papers My recent scientific papers.

Miscellaneous.

Last updated April 21, 2017.