Bea Bleile
Senior Lecturer, School of Science and Technology
Qualifications
Dipl Math (ETH Zürich), MSc (UNE), PhD (University of Sydney)
Contact
| Email: | bbleile@une.edu.au |
| Room: | Booth Block (C27) 257 |
| Phone: | 02 6773 3572 (or +61 2 6773 3572 overseas) |
| Fax: | 02 6773 3312 |
| Homepage: | http://turing.une.edu.au/~bea |
Additional:
Organisational Health and Safety Representative
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. In 2007-08 I was a guest at the Max Planck Institute for Mathematics in Bonn working on low dimensional algebraic topology in collaboration with Hans-Joachim Baues.
Research interests
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.
Teaching
I teach undergraduate units in all areas of pure mathematics and honours and postgraduate units in algebraic topology, homological algebra and differential geometry.
Selected publications
Baues H.J. and Bleile, B., Poincaré duality complexes in dimension four, Algebraic and Geometric Topology 8, pp. 2355-2389, 2008.
URL: http://www.msp.warwick.ac.uk/agt/2008/08-04/p085.xhtml
Bleile B., Poincaré Duality Pairs of Dimension Three, arXiv:0704.2107v1, e-Print archive arXiv.org, 2007, accepted for publication by Forum Mathematicum in 2008.
Albert C., Bleile B. and Fröhlich J., Batalin-Vilkovisky Integrals in Finite Dimensions, arXiv:0812.0464v1, e-Print archive arXiv.org, 2008.