Home Page of Anna Torstensson

I am a lecturer at the Centre for Mathematical Sciences at Lund University in the south of Sweden.
My research interests are in computational algebra. In particular I have worked with orthogonal
decompositions of simple Lie algebras, canonical bases of polynomial rings (also known as SAGBI bases)
in the univariate case and finding maximal symmetry groups of hyperbolic three-manifolds by computational
methods. Currenly I am also working on finding formulas for or estimates of the number of conjugacy classes in
finite groups.

Here is a list of my publications so far:

• Class Number Formulas, Master of Science Thesis, Department of Mathematics, Lund University, (1997).
• On the existence of othogonal decompositions of the simple Lie algebra of type C₃, Computer Science Journal of Moldova, Vol. 8, No. 1, pp. 16-41 (2000).  ps  pdf
• Canonical Bases for Subalgebras on two Generators in the Univariate Polynomial Ring, Beiträge zur Algebra und Geometrie/Contributions to Algebra and Geometry, Vol. 43, No. 2, pp. 565-577 (2002). ps pdf
• On SAGBI Bases and Resultants, Proceedings of the Advanced Research Workshop on Commutative Algebra, Singularities and Computer Algebra, (2002). (joint work with  Victor Ufnarovski  and  Hans Öfverbeck ).
• Algorithmic Methods in Combinatorial Algebra, Doctoral Thesis, Centre for Mathematical Sciences, Lund University, (2003).
• Using resultants for SAGBI basis verification in the univariate polynomial ring,
  Journal of Symbolic Computation, Volume 40, Issue 3, September 2005, Pages 1087-1105
  (joint work with Victor Ufnarovski and Hans Öfverbeck).
• Maximal Symmetry Groups of Hyperbolic three-manifolds. New Zeeland Journal of Mathematics, Vol. 35, No. 1, pp. 37-62 (2006).  (joint work with Marston Conder and Gaven Martin) 
• Projective linear groups as maximal symmetry groups. Glasgow Mathematical Journal, Vol. 50, pp. 83-96 (2008).
• On Conjugacy Classes of Groups of Squarefree Order. Preprint. pdf
  

My postal address is:

Anna Torstensson

Division of Mathematics
Centre for Mathematical Sciences
Lund University
P.O. Box 118
SE-221 00 Lund, Sweden

If you want to see me in person I can quite often be found in room 454B on the fourth floor in the Mathemathics Buildning at Sölvegatan 18 in Lund.

Otherwise you can reach me by phone or email.

Phone +46 46 222 85 59 (work)  +46 46 30 58 12 (home)

E-mail  annat@maths.lth.se