Raymond Vozzo's Homepage

I am a Scholarly Teaching Fellow at the University of Adelaide.

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 mathematical education. You can find links below to my papers in mathematics and education.

Some useful links:

• My recent papers on MathSciNet (subscription required)
• My recent preprints on the arXiv
• A copy of my CV
• Back to the School of Mathematical Sciences
• 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)

Publications

Mathematics

Education

Preprints