Anna Torstensson

Home Page of Anna Torstensson

I am currently a lecturer at the Royal Institute of Technology in Stockholm, 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 and 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). pdf
Maximal Symmetry Groups of Hyperbolic three-manifolds, New Zeeland Journal of Mathematics, Vol. 35, No. 1, pp. 37-62 (2006). ps pdf (joint work with Marston Conder and Gaven Martin)
Projective linear groups as maximal symmetry groups. Preprint, submitted for journal publication. ps pdf
On Conjugacy Classes of Groups of Squarefree Order. Preprint, submitted for journal publication.ps pdf

From my experience of teaching mathematics in different forms and at different levels I have become more and more fascinated by the process of learning to master this complex subject. I have therefore taken part in some courses and conferences in mathematics education and also made a small investigation into the creation of mental images of mathematical concepts: Studenters bilder av matematiska begrepp och hur de påverkar problemlösningsförmåga. (in Swedish)

My postal address is:

Anna Torstensson

Department of mathematics
Royal Institute of Technology
SE-100 44 Stockholm
SWEDEN

If you want to see me in person I can quite often be found in room 3551 on the fifth floor in the Mathemathics Buildning at Lindstedts väg 25 at the campus of KTH situated just north of Valhallavägen in Stockholm.

Otherwise you can reach me by phone or email.

Phone +46 8 790 66 88 (work) +46 8 27 76 54 (home)

E-mail annat@maths.lth.se , annator@kth.se