Content available in repository
Content available in repository
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:
Person: HGL : Professor
Person: UD : Assistant Professor
Person: OWP : University Teacher / Researcher
Research output: Contribution to journal › Article › Academic › peer-review
Research output: Contribution to journal › Article › Academic › peer-review
Research output: Contribution to journal › Review article › peer-review
Florack, Luc M.J. (Recipient), 27 Mar 2020
Prize: NWO › Other › Scientific
Florack, Luc M.J. (Recipient), 1 Jun 2005
Prize: NWO › Vici › Scientific
Supervisor: Fuster, A. (Supervisor 1) & Heefer, S. (Supervisor 2)
Student thesis: Bachelor
Supervisor: Florack, L. M. J. (Supervisor 1), de Berg, M. T. (Supervisor 2) & Sengers, H. J. C. E. (Supervisor 2)
Student thesis: Master
Supervisor: Florack, L. M. J. (Supervisor 1)
Student thesis: Bachelor