A brief curriculum vitae. Rodney Nillsen was educated at the Launceston High School, Tasmania, and the University of Tasmania. His undergraduate study was in mathematics, science and literature. He did postgraduate study under Igor Kluvánek at The Flinders University of South Australia. He had short term teaching experience at the The Flinders University of South Australia, The Open University (UK) and the University of Calgary (Alberta). He has held positions at the Royal University of Malta, University College of Swansea (Wales), and the University of Wollongong (New South Wales). He is a professor at the University of Wollongong and holds degrees of B.Sc.(Tas.), M.Sc., PhD. (Flin.) and D.Sc. (Tas.). He is a member of The Australian Mathematical Society, The American Mathematical Society and the Mathematical Association of America, and a Fellow of The Australian Mathematical Society. He is also a member of the Independent Scholars Association of Australia,
SELECTED PUBLICATIONS and OTHER WRITINGS
Books
2010 Randomness and Recurrence in Dynamical Systems, Carus Mathematical Monographs, Mathematical Association of America, Washington DC, USA, 2010 [364 pages].
1994 Difference Spaces and Invariant Linear Forms, Lecture Notes in Mathematics volume 1586, Springer-Verlag, Berlin-Heidelberg-New York, 1994 [186 pages].
2018 (with Susumu Okada) Sharpness results concerning finite differences in Fourier Analysis on the circle group,
2017 Vanishing Fourier coefficients and the expression of functions in $L^2({\mathbb T})$ as sums of generalised differences,
2004 (with S. Okada) Sharp results concerning the expression of functions as sums of finite differences,
1996 Differentiate and make waves,
1992 Topologically invariant linear forms on spaces of abstract distributions on a locally compact abelian group,
1992 Banach spaces of functions and distributions characterized by singular
integrals involving the Fourier transform,
1991 Functions with piecewise linear Fourier transforms,
1986 Some basic sequences and their moment operators,
2007 (with A. Koeller and G. Williams) Weakly mixing transformations and the Carathéodory definition of measurable sets,
2000 Normal numbers without measure theory,
1997 A Cause of Chaos,
2001 Irrational rotations motivate measurable sets, |
2014 (with M. Ismael and G. Williams) Variation of Poincaré recurrence times in discrete dynamical systems,
Advances and Appplications in Discrete Mathematics 14 (2) (2014), 95-123.
2017 (with M. Ismael and G. Williams) Standard deviation of recurrence times for piecewise linear transformations,
1975 Discrete orbits in $\beta\,{\mathbb N}-{\mathbb N}$,
1991 Adapted sets of measures and invariant functionals on $L^p(G)$,
1976 Nets of extreme Banach limits,
1980 (with P J. Browne) The two-sided factorisation of ordinary differential operators,
1983 (with P. J. Browne) On difference operators and their factorisation,
2011 Changes of culture and purpose in Australian universities: 1988 to the present,
2005 The concept of integrity in teaching and learning,
2004 Can the love of learning be taught?,
2004 Don't do what Australia has done,
2017 A comparison of two types of bank investments,
2013 A proof that the series $\sum_{n=1}^{\infty} 1/n^p$ is convergent for $p>1$,
2008 An application of elementary functions to a resource allocation problem,
2007 An application of quadratic functions to Australian Government policy on funding schools,
1989 Malcolm Muggeridge,
2022 Melissa Harper
and Richard White (eds.),
2023 Ann McGrath, Laura Rademaker and Jakelin Troy (eds),
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