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
News
Recent Publications
Our most recent peer reviewed publications
Recent Publications
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Quantum gravity phenomenology at the dawn of the multi-messenger era—A review
Progress in Particle and Nuclear Physics (2022) -
Identifying Berwald Finsler Geometries
Differential Geometry and its Applications (2021) -
Automatic tractography for brain tumor surgery: towards clinical application
(2021) -
Anisotropy Across Fields and Scales
(2021) -
A Novel Algorithm for Region-to-Region Tractography in Diffusion Tensor Imaging
(2021)
Contact
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Visiting address
MetaForum MF 7.071b (building 5)Groene Loper 55612AE EindhovenNetherlands -
TeamleadL.M.J.Florack@ tue.nl
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Secretarysecta@ tue.nl