Marston Conder
- Professor of Mathematics and Co-Director of the
New Zealand Institute of Mathematics and its Applications (the
NZIMA)
- Email: m.conder@auckland.ac.nz
- Telephone: +64 9 3737599 ext. 88879
- Fax: +64 9 3737457
- Office: Rm 319 SMIS/Physics building
Research interests
My main areas of interest are group theory and graph theory (sections 20 and
05 in Math Reviews). I am especially interested in the methods and applications of combinatorial group theory, including computational techniques for handling finitely-presented groups and their images.
Publications
Click where underlined for a list of my refereed academic
publications
and some
preprints
of recent papers (available as postscript files).
Lists of regular maps and hypermaps and trivalent symmetric graphs
Click where underlined to see and download recently-found lists of
- all
orientable regular maps
on surfaces of genus 2 to 101, up to isomorphism and duality,
with defining relations for their automorphism groups
- all
non-orientable regular maps
on surfaces of genus 2 to 202, up to isomorphism and duality,
with defining relations for their automorphism groups
- all
chiral (irreflexible) orientably-regular maps
on surfaces of genus 2 to 101, up to isomorphism, duality and reflection,
with defining relations for their automorphism groups
- all
proper orientable regular hypermaps
on surfaces of genus 2 to 101, up to isomorphism and triality,
with defining relations for their automorphism groups [WARNING: this is a 4.34MB file!]
- all
proper non-orientable regular hypermaps
on surfaces of genus 2 to 202, up to isomorphism and triality,
with defining relations for their automorphism groups
- all
proper chiral orientably-regular hypermaps
on surfaces of genus 2 to 101, up to isomorphism, triality and reflection,
with defining relations for their automorphism groups
- all
quotients of triangle groups
that act on compact Riemann surfaces of genus 2 to 101, up to isomorphism, duality/triality and reflection,
with defining relators (normal generators for the kernel) [WARNING: this is a 4.0MB file!]
- all
trivalent (cubic) symmetric graphs
on up to 2048 vertices, up to isomorphism, categorised by their type,
and with a link to a 6.1Mb gzipped directory containing all the graphs themselves.
These things were obtained in August and September 2006 with the help of the new "LowIndexNormalSubgroups"
routine in MAGMA.
Other information and useful contacts
- The
New Zealand Mathematical Society
- The
New Zealand Journal of Mathematics
- Our
Centre for Discrete Mathematics and Theoretical Computer Science
- The
Group Pub Forum
- The
World Combinatorics Exchange
- The
Graph Theory White Pages
- Gordon Royle's
Combinatorial catalogues
- The
Mathematics Genealogy Project website.
Photos
Click below for links to some photos from my recent visits to
Address
Prof. M.D.E. Conder
Department of Mathematics
University of Auckland
Private Bag 92019, Auckland
NEW ZEALAND
Last changed 14 October 2005