Research

Publications and preprints

• An algorithm to determine the Hilbert series of graded associative algebras, Research reports in Mathematics, Stockholm University, no.3 (2005), 1--19 (Licentiate thesis). Preprint.
  
  
• T. Britton , C.L. Anderson, D. Jacquet, S. Lundqvist and K. Bremer, Estimating divergence times in large phylogenetic trees, Systematic Biology 56:5 (2007), 741 -- 752. The phylogenetic dating program PATHd8 is found here.
  
  
• Complexity of comparing monomials and two improvements of the Buchberger-Möller algorithm, MMISC 2008, Lecture Notes in Comput. Sci. 5393 (2008), 105--125. Preprint.
  
  
• Computational algorithms for algebras, PhD thesis (2009), Stockholm University.
  
  
• Vector space bases associated to vanishing ideals of points, J. Pure Appl. Alg. 214 (2010), no. 4, 309--321. Preprint.
  
  
• Non-vanishing forms in projective space over finite fields, J. Comm. Alg. 2 (2010), no. 4, 435--443. Preprint (not up to date).
  
  
• S. Lundqvist, C. Löfwall, A Buchberger like algorithm without monomial orders, (2010). Preprint.
  
  
• P. Alexanderson, T. Bergkvist, M. Leander, S. Lundqvist, Förberedande kurs i matematik (book), 2010. Preprint.
  
  
• Multiplication matrices and ideals of projective dimension zero. Math. Comput. Sci. 6 (2012) no. 1, 43--59. Preprint (not up to date).