Teresa Heiss-Synak
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About
Teresa's research is in Topological Data Analysis, which studies the shape of data, in particular the hole-structure. This has numerous applications, in particular in fields where functional properties are determined by shape, like in materials science: Tunnel-shaped holes can channel ions from anode to cathode in a battery; and a material with pores of the right shape can capture greenhouse gases.
Teresa loves the sweet spot between pure and applied mathematics: She develops new methods and proves mathematical theorems, usually motivated by real-world applications, for example about mitigating climate change.
For more information, see https://sites.google.com/view/teresaheiss
Affiliations
Research interests
My research interests lie in Applied Algebraic Topology and Computational Geometry. They include:
Persistent homology
Periodic point sets and lattices
Applications to materials science, for example crystalline materials
Multifold persistent homology, also known as higher order (Delaunay) persistent homology
Brillouin zones, higher order Delaunay mosaics, higher order Voronoi tessellations
Digital images and cubical data
Euler Characteristic Curves
- Euclidean Minimal Spanning Trees and Relative Neighborhood Graphs
Topological Data Analysis (TDA)
Teaching information
MATH1113 Mathematical Foundations for Actuarial Studies, Semester 2, 2025
MATH1113 Mathematical Foundations for Actuarial Studies, Semester 2, 2026
Location
Room 1.50, Hanna Neumann Building 145 (inside the Mathematical Data Science Centre)
Publications
https://scholar.google.com/citations?user=csmVWv4AAAAJ&hl=en&oi=sra