Diana Combe

Research Interests:

My current research interests are in finite group representations and in combinatorics. I am particularly interested in primitive permutation representations of almost simple groups which are multiplicity-free and have only one or two real irreducible constituents. This interest grew out of my consideration of directed graphs and their automorphism groups. I am also interested in group designs, in particular Generalised Bhaskar Rao Designs and Generalised Hadamard Matrices in various dimensions. I am a member of the Algebra research group. My PhD was awarded in 1999 and my supervisor was Associate Professor Don Taylor. My thesis was entitled "Distance-Transitive Directed Graphs and Multiplicity-Free Primitive Permutation Representations with almost no Real Irreducible Constituents. "

Recent Papers:

D. Combe and D. E. Taylor, Two Results Concerning Distance-Regular Directed Graphs (1999)
Abstract.

Teaching:

I have taught a variety of undergraduate mathematics and statistics courses. I have also developed several courses in mathematics for the general community and presented them through the Centre for Continuing Education at The University of Sydney. In 1999 I lectured at The University of Sydney in the Sydney Summer School and in the School of Mathematics and Statistics. In January/February 1999 I taught in the Sydney Summer School, where I presented the 2nd year Graph Theory Unit of Study, MATH2009. In the School of Maths and Stats in First Semester 1999 I lectured the General Statistical Methods Unit of Study STAT1021 and the Life Sciences Statistics Unit of Study, MATH1015. I also tutored 2nd year Data Analysis in the Splus based computer sessions. In Second Semester I lectured Life Sciences Difference and Differential Equations, MATH1013, and Life Sciences Algebra, MATH1012. In January/February 2000, in the Sydney Summer School, I taught the Life Sciences/Normal Statistics Unit MATH1015/1005.

Address: Dr D. Combe School of Mathematics and Statistics The University of Sydney NSW 2006 Australia Email: dianac@maths.usyd.edu.au Last major change: 23 November, 1999.