raymond_vozzo's

Raymond Vozzo's Homepage

	Contact details
Phone:	+61 8 8313 5080
email:	raymond (dot) vozzo (at) adelaide.edu.au
Office:	Room 6.42, Ingkarni Wardli Building
Address:	School of Computer & Mathematical Sciences University of Adelaide South Australia, 5005

I am a Senior Lecturer at the University of Adelaide (soon to be Adelaide University!).

I’m interested in differential geometry and mathematical physics. In particular, my research has been focussed on bundle gerbes and infinite-dimensional geometry, and applications to quantum field theory and string theory. I also have an interest in mathematics education.

You can find links below to my papers in mathematics and education, as well as a list of graduate students I have supervised, together with their theses.

Some useful links:

My recent papers on MathSciNet (subscription required)
My recent preprints on the arXiv
Some of the expository tools I have created using Geogebra:
- Powers of complex numbers (move a point around the complex plane and see how the square, inverse, etc. move around relative to it)
- Eigenvectors and eigenvalues (vary the entries in a 2x2 matrix and see the effect of the corresponding linear transformation and see the eigenspaces)
- Quadric surfaces (investigate the various quadric surfaces using cross sections)
- Taylor Polynomials (enter a function, choose the order and view the polynomial and the error)
- Indefinite integrals and antiderivatives (enter a function and see how the signed area corresponds to the indefinite integral)
- Tangents to curves on surfaces (enter a surface and move along a curve on the surface and see the tangent to that curve)
- Partial derivatives and tangent planes (enter a function and see the cross sections that give rise to the partial derivatives and see the tangent plane)
- The blancmange function (shows the construction of the blancmange function; a continuous function that is nowhere differentiable)
- Convergence of sequences (enter a sequence and choose a value of epsilon to see the terms that are within epsilon of the limit)
- Newton's method (enter a function and choose an initial estimate for the zero; then choose how many iterations of Newton's method to show and see the tangents and the sequence of estimates for the zero)

Publications

Mathematics


	Rigid models for 2-gerbes I: Chern-Simons geometry (with D.M. Roberts) To appear in Journal of Homotopy and Related Structures	arXiv:2209.05521
pdf	Sign choices for orientifolds (with P. Hekmati, M.K. Murray & R.J. Szabo) Comm. Math. Phys. (2020) 378, pp. 1843–1873	arXiv:1905.06041 journal
pdf	Real bundle gerbes, orientifolds and twisted KR-homology (with P. Hekmati, M.K. Murray & R.J. Szabo) Adv. Theor. Math. Phys. 23(8) (2019), pp. 2093-2159.	arXiv:1608.06466
pdf	Smooth loop stacks of differentiable stacks and gerbes (with D.M. Roberts) Cah. Topol. Géom. Différ. Catég. Vol LIX no 2 (2018) pp 95-141.	arXiv:1602.07973 journal
pdf	Equivariant bundle gerbes (with M.K. Murray, D. Stevenson & D.M. Roberts) Adv. Theor. Math. Phys. 21(4) (2017), pp. 921-975.	arXiv:1506.07931 journal
pdf	The smooth Hom-stack of an orbifold (with D.M. Roberts) n: Wood D., de Gier J., Praeger C., Tao T. (eds) 2016 MATRIX Annals. MATRIX Book Series, vol 1. Springer, pp.43-47.	arXiv:1610.05904 book series
pdf	A Geometric Model for Odd Differential K-theory (with P. Hekmati, M.K. Murray & V. Schlegel) Differential Geom. Appl. 40 (2015), pp. 123-158.	arXiv:1309.2834 journal
pdf	The Faddeev-Mickelsson-Shatashvili anomaly and lifting bundle gerbes (with P. Hekmati, M.K. Murray & D. Stevenson) Comm. Math. Phys. 319(2) (2013), pp. 379-393.	arXiv:1112.1752 journal
pdf	The general caloron correspondence (with P. Hekmati & M.K. Murray,) J. Geom. Phys. 62(2) (2012), pp. 224-241.	arXiv:1105.0805 journal
pdf	Loop groups, string classes and equivariant cohomology J. Aust. Math. Soc. 90(1) (2011), pp. 109-127.	arXiv:1005.4243 journal
pdf	Circle actions, central extensions and string structures (with M.K. Murray) Int. J. Geom. Methods Mod. Phys. 7(6) (2010), pp. 1065-1092.	arXiv:1004.0779 journal
pdf	The caloron correspondence and higher string classes for loop groups (with M.K. Murray) J. Geom. Phys. 60(9) (2010), pp. 1235-1250.	arXiv:0911.3464 journal

Education


pdf	Don't throw the student out with the bathwater: online assessment strategies your class won't hate (with S. Johnson, J. Maclean, A. Koerber & M. Humphries) International Journal of Mathematical Eduation in Science and Technoloogy (2022) 53(3), 627–638	journal

Preprints


Active Learning at Scale: Investigating the Benefits of Peer Instruction in Undergraduate Mathematics (with S. Johnson, J. Tuke & T. Evans)	arXiv:2405.14151
A scaffolded approach to introducing the definition of convergence of a sequence: from concept image to concept definition	pdf
An interactive tool for visualising eigenvectors and eigenvalues	pdf
Loop Groups, Higgs Fields and Generalised String Classes Ph.D. Thesis	arXiv:0906.4843

Graduate Students

Below is a list of past and current Higher Degree by Research students I have supervised, along with links to their theses.


Sam Groocock (with David Roberts)	MPhil current
Alex Marciano (with Danny Stevenson)	MPhil current
Matthew Drown Thesis: Classifying spaces and simplicial groupoids (with Danny Stevenson)	MPhil 2025	Thesis
James McCusker Thesis: Higher differential geometry and non-integral Kac-Moody extensions (with Danny Stevenson)	MPhil 2024	Thesis
Liam Stoldt Thesis: Equivariant bundle gerbes and simplicial extensions (with Danny Stevenson)	MPhil 2022	Thesis