Douglas Sutherland Bridges
Current Curriculum Vitae [PDF, 65 KB]
Personal Details
- B.Sc.(Hons) (Edinburgh), {M.Sc.(Newcastle), Dip.Ed(Edinburgh)
- D.Phil.(Oxford), D.Sc.(Oxford)
- Fellow of the Royal Society of New Zealand
- Corresponding Fellow of the Royal Society of Edinburgh
Research Interests
- Foundations of mathematics: in particular, constructive foundations of analysis (real and functional) and topology (the axiomatic theory of apartness), and ring theory.
- Constructive reverse mathematics: classifying constructive proofs by the principles they require, and nonconstructive proofs by the nonconstructive principles they depend on.
- Computability and abstract complexity theory.
- Mathematical economics: the numerical representation of preference relations; demand functions; equilibrium theory.
- Quantum logic and operator-theoretic foundations of physics.
140+ refereed papers in journals and conference proceedings.
7 books, including
- Constructive Analysis (with Errett Bishop) Grundlehren der math. Wissenschaften 279, Springer-Verlag, Heidelberg–Berlin–New York, 1985.
- Varieties of Constructive Mathematics (with Fred Richman) London Math. Soc. Lecture Notes 97, Cambridge Univ. Press, 1987.
- Techniques of Constructive Mathematics (with Luminita Vīta, Universitext, Springer New York, 2006.
Book in preparation:
- Apartness Spaces (with Luminita Vīta, graduate monograph.
Career Summary
- 1951–63 Pupil at George Watson's College, Edinburgh
- 1963–67 Student at the University of Edinburgh; graduated B.Sc. (first class honours) in Mathematics.
- 1967–68 Student at the University of Newcastle, supervised by John Ringrose; graduated in 1969 with M.Sc. by thesis (Algebraic and spatial *-isomorphisms between von Neumann algebras)
- 1969 Student at University of Edinburgh; graduated with Dip. Ed.
- 1969–1971 Mathematics master and House Tutor at Clifton College, Bristol
- 1972–74 Doctoral student at Oxford University (Wolfson College), supervised by Robin Gandy and Michael Dummett. Graduated in February 1975 with D.Phil. (Constructive mathematics–-its set theory and practice).
- 1975–89 Lecturer (1975–79), Senior Lecturer (1979–82), then Professor (1982–89) of Mathematics, University College at Buckingham (later the University of Buckingham, the UK's only Royal-chartered private university).
- 1989–98 Professor of Mathematics, and Chairman of the Department of Mathematics & Statistics (1989–95), University of Waikato, Hamilton, New Zealand.
- 1999– Professor of Pure Mathematics, and Head of Department of Mathematics & Statistics (1999–92), University of Canterbury.
Other Interests and Activities
- Classical music (especially Schubert, Beethoven, and Bach): singing, listening.
- Football (lifelong supporter of Heart of Midlothian FC; former coach at Hillcrest High School, and referee), cricket (former coach at Hillcrest HS), cycling.
- Foreign languages: working knowledge of German, French, Italian, Spanish.
- Art–house cinema