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.

 

 

 

04.09.2020, 10:38