Associate Professor Don Taylor

F07 - Carslaw Building
The University of Sydney

Telephone +61 2 9351 5775

Website Personal web page

Research interests

I am a member of the Algebra Research Group. Research interests include computations with groups, combinatorics and representation theory, particularly permutation groups and associated 'geometric' structures. More specifically:

  • The structure of unitary reflection groups
  • Group actions on graphs
  • Constructions and representations of groups and (non-associative) algebras arising from Lie algebras.

Selected grants

2005

  • Joint venture between AMSI members required under Funding agreement between the Commonwealth and the; Dancer E, Taylor D, Weber N.

Selected publications

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Books

  • Lehrer, G., Taylor, D. (2009). Unitary Reflection Groups. United States of America: Cambridge University Press.

Book Chapters

  • Taylor, D. (2006). Constructing the split octonions. In Bosma W, Cannon J (Eds.), Discovering Mathematics with Magma: Reducing the Abstract to the Concrete, (pp. 161-185). Berlin, Heidelberg, New York: Springer.

Journals

  • Muraleedaran, K., Taylor, D. (2018). Normalisers of parabolic subgroups in finite unitary reflection groups. Journal of Algebra, 504, 479-505. [More Information]
  • Taylor, D. (2012). Reflection subgroups of finite complex reflection groups. Journal of Algebra, 366(15 September 2012), 218-234. [More Information]
  • Muraleedaran, K., Taylor, D. (2008). Embeddings of complex line systems and finite reflection groups. Journal of the Australian Mathematical Society, 85(2), 211-228. [More Information]
  • Abelson, D., Hong, S., Taylor, D. (2007). Geometric automorphism groups of graphs. Discrete Applied Mathematics, 155(17), 2211-2226. [More Information]
  • Cohen, A., Taylor, D. (2007). On a certain Lie Algebra defined by a finite group. American Mathematical Monthly, 114(7), 633-639.
  • Cohen, A., Murray, S., Taylor, D. (2004). Computing in groups of Lie type. Mathematics of Computation, 73(247), 1477-1498. [More Information]
  • Howlett, R., Taylor, D., Rylands, L. (2001). Matrix generators for exceptional groups of Lie type. Journal of Symbolic Computation, 31(4), 429-445.
  • Combe, D., Taylor, D. (2001). Two results concerning distance-regular directed graphs. Australasian Journal of Combinatorics, 23, 27-36.

Conferences

  • Abelson, D., Hong, S., Taylor, D. (2002). A group-theoretic method for drawing graphs symmetrically. 10th International Symposium, Graph Drawing, Berlin: Springer.
  • Fernandez, A., Franklin, S., George, A., Peat, M., Sharma, M., Taylor, D. (2002). Teaching In Faculties: Making science relevant for professional degree programs. Uniserve Science Conference, University of Sydney: UniServe Science, University of Sydney.

2018

  • Muraleedaran, K., Taylor, D. (2018). Normalisers of parabolic subgroups in finite unitary reflection groups. Journal of Algebra, 504, 479-505. [More Information]

2012

  • Taylor, D. (2012). Reflection subgroups of finite complex reflection groups. Journal of Algebra, 366(15 September 2012), 218-234. [More Information]

2009

  • Lehrer, G., Taylor, D. (2009). Unitary Reflection Groups. United States of America: Cambridge University Press.

2008

  • Muraleedaran, K., Taylor, D. (2008). Embeddings of complex line systems and finite reflection groups. Journal of the Australian Mathematical Society, 85(2), 211-228. [More Information]

2007

  • Abelson, D., Hong, S., Taylor, D. (2007). Geometric automorphism groups of graphs. Discrete Applied Mathematics, 155(17), 2211-2226. [More Information]
  • Cohen, A., Taylor, D. (2007). On a certain Lie Algebra defined by a finite group. American Mathematical Monthly, 114(7), 633-639.

2006

  • Taylor, D. (2006). Constructing the split octonions. In Bosma W, Cannon J (Eds.), Discovering Mathematics with Magma: Reducing the Abstract to the Concrete, (pp. 161-185). Berlin, Heidelberg, New York: Springer.

2004

  • Cohen, A., Murray, S., Taylor, D. (2004). Computing in groups of Lie type. Mathematics of Computation, 73(247), 1477-1498. [More Information]

2002

  • Abelson, D., Hong, S., Taylor, D. (2002). A group-theoretic method for drawing graphs symmetrically. 10th International Symposium, Graph Drawing, Berlin: Springer.
  • Fernandez, A., Franklin, S., George, A., Peat, M., Sharma, M., Taylor, D. (2002). Teaching In Faculties: Making science relevant for professional degree programs. Uniserve Science Conference, University of Sydney: UniServe Science, University of Sydney.

2001

  • Howlett, R., Taylor, D., Rylands, L. (2001). Matrix generators for exceptional groups of Lie type. Journal of Symbolic Computation, 31(4), 429-445.
  • Combe, D., Taylor, D. (2001). Two results concerning distance-regular directed graphs. Australasian Journal of Combinatorics, 23, 27-36.

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