Riemann Research

Riemann Research is named after Bernhard Riemann. In 1854, in the lecture that qualified him at Göttingen, he replaced the picture of space with the structure of space: rather than ask how a thing sits inside some larger coordinate system, he asked what is true of it locally. Geometry became intrinsic. Sixty years later, physics needed exactly that.

We hold this as an attitude rather than a programme. Most of the work here goes into structure — representation, invariants, what a system is — on the suspicion that the behaviour follows.

B. Riemann, Über die Hypothesen, welche der Geometrie zu Grunde liegen. Habilitation lecture, Göttingen, 1854.