Emeritus Professor Brian Davey

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Retirement

I retired form La Trobe University on June 28, 2013 and was appointed as an Emeritus Professor from July 1, 2013. I remain an active member of the department, teaching my honours subject "MAT4GA General Algebra", supervising honours students and co-supervising graduate students.

Research Interests

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

• Research Group on General Algebra and its Applications

• My official university web page (including resume and partial publication list)

• My Google Scholar citations

I am co-Editor-in-Chief for Algebra Universalis and an Associate Editor for the Bulletin of the Australian Mathematical Society.

Postgrads and Postdocs

The Research Group on General Algebra and its Applications includes several postgraduate students and ARC postdoctoral fellows. 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. See my photo collection: devilsticking around the world.

Apart from juggling, I play the trumpet, guitar and ukulele, sing folk songs and dabble in latte art. Musically, the ukulele is my present passion, and from 2013 to 2015 I had singing lessons at Dot's Singing. I have written, alone and with others, a number of mathematical songs. A few of my ukulele-accompanied songs can be found on SoundCloud.