# Professor Douglas S. Bridges

Professor of Pure Mathematics (1999-)

B.Sc. (Hons), Edinburgh; M.Sc. Newcastle; Dip. Ed. Edinburgh;

D.Phil. Oxford; D.Sc. Oxford, FRSNZ, CorrFRSE

Department of Mathematics and Statistics

University of Canterbury

Private Bag 4800

Christchurch, NEW ZEALAND

Room 704, Erskine Building

Telephone: +64 3 364 2987 ext 7427

Fax: +64 3 364 2587

Email: d.bridges@math.canterbury.ac.nz

## Research Interests

- Constructive foundations of:
- analysis: in particular, functional analysis (including Banach algebras and operator algebras), measure theory, operator theory,approximation theory, real and complex analysis;
- topology: the axiomatic theory of apartness between sets.

- Mathematical economics: the numerical representation of preference relations; demand functions; equilibrium theory; constructive methods.
- Computability and abstract complexity theory.
- Quantum logic and operator-theoretic foundations of physics.

Symposium on Topology and Analysis: Proof and Computation, Nov 29 – Dec 3

## Recent Talks

## New Book

“Apartness and Uniformity: A Constructive Development ”, Douglas Bridges and L.S. Vîţă

## Lecture Notes

Lebesgue Integral

## PhD theses supervised

Michael (Yunchuan) Wang: Constructive Analysis of Partial Differential Equations