Mathematics and Computer Science

Applied Differential Geometry

Applied Differential Geometry seeks opportunities for applying differential geometry to science and technology, with a focus on healthcare technology driven by complex imaging modalities and on extensions of general relativity theory.

Applying differential geometry to solve 21st century grand challenges

Societal challenges and scientific curiosity are important actuators for mathematics, and vice versa. This is especially true for differential geometry, a generic framework straddling many areas of science and technology, as it essentially deals with `stuff’ that furnishes space and time..

Our strategy is to engender and exploit synergies among said `X-geometries’ by investigating their common ground. This argues for an approach beyond axiomatics in terms of operational concepts (`algorithms’). Our stratagem is to pursue our mission by combining inductive and analytical reasoning, establishing differential geometry (i) as an overarching framework for distinct application areas to fruitfully exchange ideas, and (ii) as a firm basis for incorporating artificial intelligence techniques to learn from annotated data while respecting a priori geometric constraints (geometric deep learning).

We are currently working on the following programmes: neurogeometry, cardiovascular geometry and spacetime geometry.

Our programs

Meet some of our Researchers