I am a PhD student in computational group theory at the School of Mathematical
Sciences at Queen Mary,
University of London. My supervisor is Charles R. Leedham-Green.
Since my research is interdisciplinary, a mixture of mathematics and
computer science, I have a secondary supervisor, Pengwei Hao at the Department of Computer Science.
More specifically, I work on the matrix recognition project, in which we
try to develop efficient algorithms for computing with matrix
groups over finite fields, where the groups are given by a set of
generators. The aim is also to make practical implementations of all
the algorithms, primarily for the Magma system, but possibly
also for the GAP system.
Contact details
Address
Henrik Bäärnhielm
School of Mathematical Sciences
Queen Mary, University of London
Mile End Road
London, E1 4NS
United Kingdom
Phone
+44 20 7882 5440
Fax
+44 20 8981 9587
E-mail
h {dot} baarnhielm [at] qmul {dot} ac {dot} uk
Room
202
Publications and preprints
Extending the product replacement algorithm; Henrik
Bäärnhielm, Charles Leedham-Green; (2007) preprint; ps,
pdf
Standard generators for the Suzuki groups; John Bray, Henrik
Bäärnhielm; (2007) preprint; dvi, ps,
pdf
Recognising the Ree groups in their natural representations; Henrik
Bäärnhielm; (2006) preprint; ps,
pdf
Tensor decomposition of the Ree groups; Henrik
Bäärnhielm; (2006) preprint; ps,
pdf
Recognising the Suzuki groups in their natural representations; Henrik
Bäärnhielm; J. Algebra300 (1), 171-198, 2006;
e-print
Tensor decomposition of the Suzuki groups; Henrik
Bäärnhielm; (2005) preprint; dvi, ps, pdf
The Schreier-Sims algorithm for matrix groups; Henrik
Bäärnhielm; (2004)
e-print;
Software
I have produced some software packages for Magma and GAP that deal with matrix
groups. Hopefully they will all at some point be included in the main Magma and GAP
distributions, but until then they can be found here.
Disclaimer: the views and opinions expressed in these pages are strictly those of the author. The content of these pages has not been reviewed or approved by Queen Mary, University of London.
