Günther Hörmann

Günther Hörmann is an Associate Professor at the Faculty of Mathematics, Department of Mathematics, University of Vienna. With an academic career spanning from 1995 to present, he has established himself as a prominent researcher in mathematical analysis with particular expertise in generalized functions, microlocal analysis, and partial differential equations.

His research interests span several interconnected areas of mathematical analysis and its applications:

• Generalized functions and Colombeau algebras
• Microlocal analysis and wavefront sets
• Partial differential equations, particularly wave equations
• Mathematical physics applications in quantum field theory
• Geophysical modeling and earth deformation
• Non-smooth geometry and regularization techniques

Hörmann's scholarly output demonstrates a consistent focus on developing rigorous mathematical frameworks for analyzing differential equations with singular coefficients or data. His work often bridges pure mathematical theory with applications in physics, particularly in quantum mechanics, relativity, and geophysics. A distinctive feature of his research is the application of generalized function theory to problems that involve singularities or low regularity conditions.

His publication record shows remarkable productivity across nearly three decades, with significant contributions in both theoretical mathematics and its applications. The interdisciplinary nature of his work is evident in collaborations across mathematics, physics, and even biomedical research as seen in his 2023 prostate cancer study.