
Lisa Nicklasson
Max-Planck-Institut für Mathematik in den Naturwissenschaften
Inselstr. 22
04103 Leipzig
Germany
Contact: Email
Lisa Nicklasson
Research interests
My research is in commutative algebra, and I'm especially interested in Lefschetz properties, Hilbert series, and toric rings.
Publications
On the Betti numbers and Rees algebras of ideals with linear powers, Journal of Algebraic Combinatorics Vol. 53, 2021, p. 575-592, DOI
Subalgebras generated in degree two with minimal Hilbert function, Mathematica Scandinavica Vol. 127(1), 2021, p. 5-27, DOI
Joint with S. Lundqvist, On generic principal ideals in the exterior algebra, Journal of pure and applied algebra Vol. 223 (6), 2019, p. 2615-2634, DOI
Joint with S. Lundqvist, On the structure of monomial complete intersections in positive characteristic, Journal of Algebra Vol 521, 2019, p. 213-234, DOI
The strong Lefschetz property of monomial complete intersections in two variables, Collectanea Mathematica Vol. 69, 2018, p. 359-375, DOI
On the Hilbert series of ideals generated by generic forms, Communications in Algebra Vol. 45, 2017, p. 3390-3395, DOI
Preprints
Products of polymatroids with the strong exchange property, arXiv:2101.03081
Joint with R. Fröberg, Gorenstein rings generated by strongly stable sets of quadratic monomials, arXiv:2008.00898
Joint with O. Gasanova and S. Lundqvist, On decomposing monomial algebras with the Lefschetz properties, arXiv:2006.14453
Code
I have written a Macaulay2 package for investigating Lefschetz properties and the Maximal Rank property. MaximalRankProperties
Curriculum vitae
I am a postdoctoral researcher in the Nonlinear Algebra group at MPI MiS. Before coming to Leipzig I was a Ph.D. student at Stockholm University.