Research 

My research area is within algebra. Contact: samuel AT math.su.se, +46 8 164770. 

Publications and preprints

• S. Lundqvist, An algorithm to determine the Hilbert series of graded associative algebras, Research reports in Mathematics, Stockholm University, no.3 (2005), 1--19 (Licentiate thesis).
• T. Britton, C.L. Anderson, D. Jacquet, S. Lundqvist, and Kåre Bremer, Estimating divergence times in large phylogenetic trees, Systematic Biology 56:5 (2007), 741 -- 752. The phylogenetic dating program PATHd8 is found here.
• S. Lundqvist, Complexity of comparing monomials and two improvements of the Buchberger-Möller algorithm, MMISC 2008, Lecture Notes in Comput. Sci. 5393 (2008), 105--125.
• S. Lundqvist, Computational algorithms for algebras, PhD thesis (2009), Stockholm University. 
• S. Lundqvist, Vector space bases associated to vanishing ideals of points, J. Pure Appl. Alg. 214 (2010), no. 4, 309--321.
• S. Lundqvist, Non-vanishing forms in projective space over finite fields, J. Comm. Alg. 2 (2010), no. 4, 435--443.
• C. Löfwall and S. Lundqvist, A Buchberger like algorithm without monomial orders. Unpublished (2010).
• S. Lundqvist, Multiplication matrices and ideals of projective dimension zero. Math. Comput. Sci. 6 (2012) no. 1, 43--59.
• C. Löfwall, S. Lundqvist, and Jan-Erik Roos, A Gorenstein numerical semi-group ring having a transcendental series of Betti numbers. J. Pure Appl. Alg. 219 (2015), no. 3, 591-621.
• S. Lundqvist, Boolean Ideals and their varieties (2015). J. Pure Appl. Alg. 219 (2015), no. 5, 4521--4540.
• M. Boij, R. Fröberg, and S. Lundqvist, Powers of generic ideals and the weak Lefschetz property for powers of some monomial complete intersections. J. Algebra 495 (2018), 1--14.
• R. Fröberg, S. Lundqvist, Questions and conjectures on extremal Hilbert series. Rev. Union Mat. Argentina 59 (2018), no. 2, 415--429.
• R. Fröberg, S. Lundqvist, A. Oneto, and B. Shapiro, Algebraic stories from one and from the other pockets. Arnold Math J. 4 (2018), no.2, 137--160.
• S. Lundqvist, A. Oneto, B. Reznick, and B. Shapiro, On generic and maximal k-ranks of binary forms. J. Pure Appl. Alg. 223 (2019), no. 5, 2062–2079.
• S. Lundqvist and L. Nicklasson, On generic principal ideals in the exterior algebra. J. Pure Appl. Alg. 223, (2019), no. 6, 2615–2634.
• S. Lundqvist and L. Nicklasson, On the structure of monomial complete intersections in positive characteristic. J. Algebra 521 (2019), 213–234.
• V. Crispin Qui{\~n}onez, S. Lundqvist, and G. Nenashev, On ideals generated by two generic quadratic forms in the exterior algebra, submitted.
• C. Löfwall and S. Lundqvist, Software for doing computations in graded Lie algebras, submitted.

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