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 working on applications of
algorithmic algebra to problems in rigidity theory.

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 C
_{3},*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).* - A
Complete Characterization and Solution to the Microphone Position Self-Calibration
Problem.
*Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), (2013).*(joint work withYubin Kuang, Simon Burgess and Karl Åström) - Prime
Rigid Graphs and Multidimensional Scaling with Missing Data.
*22nd International Conference on Pattern Recognition (ICPR), (2014).*(joint work with Magnus Oskarsson and Karl Åström) - 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 134965 (home)

E-mail
annat@maths.lth.se