Christoph Erath

Christoph Erath is a Professor of Mathematics at the University College of Teacher Education Vorarlberg (PH Vorarlberg) in Austria, serving as Director of Secondary Education and Subject Didactics. He holds a Habilitation (Privatdozent) in Applied Mathematics from TU Wien and maintains active research and teaching responsibilities.

His educational background includes:

• PhD in Mathematics (Dr. rer. nat., summa cum laude) from Ulm University, Germany (2010)
• Master's degree in Technical Mathematics (Dipl.-Ing., with honor) from TU Wien, Austria (2005)

Professor Erath's research focuses on advanced numerical methods for partial differential equations, with expertise spanning Finite Element Methods, Boundary Element Methods, and Discontinuous Galerkin Methods. His theoretical work emphasizes a priori and a posteriori error analysis, robustness, and adaptive mesh refinement strategies. He has developed numerical schemes for climate modeling and created innovative teaching formats through collaboration with local companies, bridging theoretical mathematics with practical classroom applications.

His publication record demonstrates consistent advancement in coupling different numerical methods with rigorous error analysis. Recent work has expanded into educational applications, examining how fundamental mathematical competencies interact with emerging technologies like artificial intelligence in school settings, reflecting his dual commitment to theoretical mathematics and pedagogical innovation.

Scientific recognition includes:

• Award from Ulmer Universitätsgesellschaft for PhD Thesis (2012)
• PhD scholarship from Baden-Württemberg, Germany (2007-2010)
• Award from Austrian Mathematical Society for Diploma Thesis (2006)

Professor Erath actively supervises graduate theses in mathematical fields and has led research teams including postdocs and PhD students. His teaching portfolio includes core courses in Applied Mathematics, Analysis, and Mathematical Methods for teacher education students. He maintains strong research connections with institutions including TU Wien, TU Darmstadt, and the University of Colorado, contributing significantly to both computational mathematics and mathematics education methodology.