Lisa Nicklasson
Max-Planck-Institut für Mathematik in den Naturwissenschaften
Inselstr. 22
04103 Leipzig
Germany
Office: F3 13
Contact:
Email
Phone:
+49 341 9959 784
Fax:
+49 341 9959 658
Lisa Nicklasson
Research interests
My research is in commutative algebra, focused on Lefschetz properties, Hilbert series, and Betti numbers of graded algebras. I am particularly fond of monomial algebras.
Publications
L. Nicklasson, Subalgebras generated in degree two with minimal Hilbert function, to appear in Mathematica Scandinavica, arXiv:1911.11038
S. Lundqvist and L. Nicklasson, On generic principal ideals in the exterior algebra, Journal of pure and applied algebra Vol. 223 (6), 2019, p. 2615-2634, DOI
S. Lundqvist and L. Nicklasson, On the structure of monomial complete intersections in positive characteristic, Journal of Algebra Vol 521, 2019, p. 213-234, DOI
L. Nicklasson, The strong Lefschetz property of monomial complete intersections in two variables, Collectanea Mathematica Vol. 69, 2018, p. 359-375, DOI
L. Nicklasson, On the Hilbert series of ideals generated by generic forms, Communications in Algebra Vol. 45, 2017, p. 3390-3395, DOI
Preprints
R. Fröberg and L. Nicklasson, Gorenstein rings generated by strongly stable sets of quadratic monomials, arXiv:2008.00898
O. Gasanova, S. Lundqvist, L. Nicklasson, On decomposing monomial algebras with the Lefschetz properties, arXiv:2006.14453
L. Nicklasson, On the Betti numbers and Rees algebras of ideals with linear powers, arXiv:1904.01995
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 PhD student at Stockholm university.