Institute of Geometry

The following links describe in more detail areas of research the Institute of Geometry at TU Graz is involved in. In particular we want to mention the following national and international networks funded by DFG and FWF where we have been taking part:

• Industrial Geometry (FWF Nat. Research Network S92 II, 2008—2011)
• Discretization in Geometry and Dynamics (SFB-Transregio 109 (DFG+FWF), 2012—2020)
• Discrete Mathematics (FWF Doctoral College W1230 II, 2010—2023)

Individual research areas, either within the framework of a grant of without, are the following:

• Diagonal harmonics, Hopf algebras, and polytopes (FWF grant P33278, 2020—)
• Algorithms for topological data analysis (FWF grant P 29984-N35, 2017—2021)
• Multi-parameter persistent homology (FWF grant P 33765-N, 2021—)
• Computational Differential Geometry (FWF grants S9209, I705, 2008—2011, 2012—)
• Freeform surfaces in architecture (FFG, FWF grant S9209, 2008—2010, 2008—2011)
• Subdivision in nonlinear geometries (FWF grants 18575, 19780, W1230, 2007—)