Michael Hecht

Dr. Michael Hecht leads the Mathematical Foundations of Complex System Science group at the CASUS - Center for Advanced Systems Understanding, part of the Helmholtz-Zentrum Dresden-Rossendorf (HZDR). His research focuses on computational mathematics, numerical methods, and their applications in physics-informed machine learning and partial differential equations.

Research Interests:

• Polynomial interpolation in high-dimensional spaces
• Topological data structure preservation in neural networks
• Hybrid surrogate models for complex systems
• Uncertainty quantification and numerical integration

Recent Trends in Publications highlight advancements in polynomial-based methods for machine learning, numerical solutions to PDEs, and open-source tools like UQTestFuns and Minterpy, emphasizing efficiency and approximation accuracy across disciplines.

Scientific Awards & Recognition:

• HZDR Innovation Contest participant
• ORCID: 0000-0001-9214-8253

Labs & Teams: Affiliated with the CASUS - Center for Advanced Systems Understanding, contributing to complex system science through interdisciplinary research in mathematics, computer science, and physics.