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
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:
Number Formulas, Master of Science Thesis, Department of Mathematics, Lund
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
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
SAGBI Bases and Resultants, Proceedings of the Advanced Research
Workshop on Commutative Algebra, Singularities and Computer Algebra,
work with Victor
Ufnarovski and Hans
Methods in Combinatorial Algebra, Doctoral Thesis, Centre for Mathematical
Sciences, Lund University, (2003).
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).
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)
linear groups as maximal symmetry groups. Glasgow Mathematical Journal,
Vol. 50, pp. 83-96 (2008).
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)
Rigid Graphs and Multidimensional Scaling with Missing Data. 22nd International Conference on Pattern
Recognition (ICPR), (2014). (joint work with
Magnus Oskarsson and Karl Åström)
Conjugacy Classes of Groups of Squarefree Order.
My postal address is:
Division of Mathematics
Centre for Mathematical Sciences
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)