Brian Davey
 
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Professor Brian Davey

Department of Mathematics and Statistics
Office Location: Room 326, Physical Sciences 2, La Trobe University, Victoria 3086, Australia
Phone: (03) 9479 2599
Fax: (03) 9479 2466
Email: B.Davey@latrobe.edu.au
To the list of La Trobe Mathematics and Statistics Personal Home Pages.

Research Interests

My research centres around universal algebra, lattice theory, and particularly the role of natural duality theory in both of these areas. I lead an active research group within the Department of Mathematics.

I am an executive editor for Algebra Universalis and an Associate Editor for the Bulletin of the Australian Mathematical Society.

Postgrads and Postdocs

My research group includes several postgraduate students and postdoctoral fellows (ARC and La Trobe). I greatly enjoy the stimulation of working with graduate students. If you are interested in graduate studies in universal algebra or lattice theory, please email me.

Books

The three texts that I have published form my mathematical autobiography.

  • Introduction to Lattices and Order
    with Dr Hilary Priestley (The University of Oxford),
    based on our undergraduate courses on lattices and ordered sets.
  • Natural Dualities for the Working Algebraist
    with Professor David Clark (SUNY, New Paltz),
    presents all of the main results in the theory of natural dualities proved between 1980 and 1998.
  • Dualisability: Unary Algebras and Beyond
    with Dr Jane Pitkethly (La Trobe University),
    reveals the surprising richness of duality theory within the seemingly simple class of unary algebras.

Other Interests

There are passions in my life other than my passion for mathematics. I am a late convert to juggling. I can do a little with most forms of juggling (balls, clubs, diabolo, scaves, rings), but my love is the devilstick. I have recently started a photo collection: devilsticking around the world.

Apart from juggling, I play the trumpet and the guitar and sing folk songs. I have written, alone and with others, a number of mathematical songs.
I was an enthusiastic runner for many years. The highlight was running the Melbourne and Sydney marathons in 2000. After a knee injury forced me to give up running, I took up tap dancing instead. Unfortunately, in 2009 the knee injury forced me to give up tap as well. :(
For fourteen years from 1985 to 1999, I worked part time so that I could be at home with my children when they were babies and toddlers and then later could be more involved in their education. All three attended an alternative, parent-run primary school (the Learning Co-operative) and I was actively involved in the running of the school. I returned to full time work at La Trobe in January 1999.
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To the list of La Trobe Mathematics and Statistics Personal Home Pages.