Thuswaldner Jörg

Thuswaldner Jörg is a Professor and Chair of Mathematics, Statistics, and Geometry at TU Graz’s Faculty of Mathematics, Physics, and Geodesy. His research focuses on fractal geometry, number systems, dynamical systems, and tiling theory. He has supervised 8 doctoral and master’s theses, notably on topics like Rauzy fractals, solidification microstructure modeling, and self-affine tiles.

Key research trends include exploring the topology of self-affine tiles, properties of number systems (e.g., continued fractions, Ostrowski representations), and applications of fractal theory. His work bridges pure mathematics (e.g., algebraic geometry) with applied areas like material science (e.g., fatigue strength analysis of alloys).

He has advised students such as Loridant, Surer, and Rossi, and contributed to 80+ publications. His research often intersects with computational geometry and discrete mathematics, with recent focus on fractal dimension theory and Lyapunov exponents in dynamical systems.