Senior Lecturer in Mathematics - School of Science & Technology
Phone: +61 2 6773 3572
While I enjoyed mathematics at high school, my appreciation of and love for the subject only began to develop during my undergraduate studies at the Swiss Federal Institute of Technology (ETH) in Zurich, where I had enrolled to study physics. I changed to mathematics and wrote my thesis on non-commutative geometry under the supervision of Jürg Fröhlich in April 1993. In May 1993 I took up a three year contract as associate lecturer at UNE. In 1996 I enrolled for an MSc in homological algebra under the supervision of Peter Hilton to stay in touch with mathematics while caring for our young child. On submitting the Masters thesis in 1999, I enrolled in a PhD in low dimensional algebraic topology under the supervision of Jonathan Hillman at the University of Sydney. After completing my doctorate in 2005, I spent the academic year 2006-2007 as a post-doctoral fellow at the Institute for Theoretical Physics at ETH, working on the Batalin-Vilkovisky formalism in theoretical physics with Jürg Fröhlich and Carlo Albert. My collaboration with Hans-Joachim Baues on low dimensional algebraic topology began in 2007 when I was a guest at the Max Planck Institute for Mathematics in Bonn. Currently I am interested in nonabelian algebraic topology as developed by Ronnie Brown and others.
Dipl Math (ETH Zürich), MSc (UNE), PhD (University of Sydney)
Chair of the Cases Committee
Treasurer of the UNE Branch of the National Tertiary Education Union
I teach undergraduate units in all areas of pure mathematics and honours and postgraduate units in algebraic topology, homological algebra and differential geometry.
I am interested in
- algebraic topology,
- homological algebra,
- mathematical physics
My main area of current research is in algebraic topology and concerns Poincaré duality complexes, which are homotopy generalisations of manifolds.
The third homotopy group as a pi1-module with Hans-Joachim Baues Applicable Algebra in Engineering, Communication and Computing, v. 26 (1-2), p. 165-189 (2015) https://e-publications.une.edu.au/vital/access/manager/Repository/une:17025?source=Advanced&field1=text&query1=bleile
Batalin-Vilkovisky integrals in finite dimensions with Juerg Froehlich and Carlo Albert Journal of Mathematical Physics, v. 51 (1), p. 1-31 (2010) https://e-publications.une.edu.au/vital/access/manager/Repository/une:5602?source=Advanced&field1=text&query1=bleile
Poincaré duality pairs of dimension three Forum Mathematicum, v. 22 (2), p. 277-301 (2010) https://e-publications.une.edu.au/vital/access/manager/Repository/une:7645?source=Advanced&field1=text&query1=bleile
Poincaré duality complexes in dimension four with Hans-Joachim Baues Algebraic and Geometric Topology, v. 8, p. 2355-2389 (2008) https://e-publications.une.edu.au/vital/access/manager/Repository/une:3113?source=Advanced&field1=text&query1=bleile