University of Tasmania, Australia

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Des FitzGerald

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Dr Des FitzGerald

Senior Lecturer

BSc Hons (Qld), PhD (Monash), Dip Ed (Hawth), GradDipAppStat (IoS), ChStat

Contact Details

Contact Campus Sandy Bay Campus
Building Maths-Physics Building
Room Reference 457
Telephone +61 3 6226 2445
Fax +61 3 6226 2867
Email D.FitzGerald@utas.edu.au

Teaching Responsibilities

I teach introductory calculus and linear algebra and first statistics units.

Units

Publications

  • Identifying excellence in leading Australian - owned Information Technology firms: five emerging themes G R Lowry, G W Morgan and D G FitzGerald 1996 * Seventh Australasian Conference on Information Systems Australian Computer Society / ACIS, Hobart, Australia, 1996 (Proceedings) 419-429
  • Dual symmetric inverse monoids and representation theory D G FitzGerald and J E Leech 1998 * Journal of the Australian Mathematical Society (Series A) 64 345367
  • The ubiquity of power functions D G FitzGerald 1999 * Biometrical Journal 41 111118
  • Green's relations in some categories of strong graph homomorphisms D G FitzGerald 1999 * Semigroup Forum 58 445451
  • Representations of inverse monoids by partial automorphisms D G FitzGerald 2000 * Semigroup Forum 61 357362

I have research interests in both applied statistics and in algebra (inverse semigroups). I offer statistical advice and collaboration to researchers in all fields.

Researchers Report (WARP)

Information back to 2000.

  • Research Funding
  • Graduate Research Supervision
  • Research Publications

Research Interests

There are many research topics in studies of ambient air quality, combining data analysis with methodological and modelling issues (as well as environmental protection and public health). I am happy to share these topics! 
A continuing research interest in algebra is the interplay between the properties of semigroups and of categories with which they are related. The unifying idea here is the search for ‘algebraic invariants’ of objects, which may express the symmetries of the object (perhaps, for example, a fractal), or how it is related to other objects. In particular, I am interested in the ways inverse semigroups of partial symmetries carry information about the associated object.