Robert Haller

Robert Haller is a Professor in the Faculty of Mathematics at Darmstadt University of Technology, where he specializes in analysis with a focus on partial differential equations and operator theory. His teaching portfolio includes core courses such as Analysis I and Mathematics for Civil Engineering, with upcoming courses scheduled for Winter semester 2025/26.

Professor Haller's academic journey includes a PhD thesis titled "Methoden der Banachraum-wertigen Analysis und Anwendungen auf parabolische Probleme" (2004) and a Habilitation "Lp-Regularity Theory for Linear Elliptic and Parabolic Equations" (2008), both completed at TU Darmstadt. His educational background demonstrates deep expertise in mathematical analysis and its applications to parabolic problems.

His research program centers on regularity theory for elliptic and parabolic partial differential equations, with particular emphasis on maximal parabolic regularity, divergence form operators with mixed boundary conditions, and non-smooth coefficients and domains. He has made significant contributions to the Kato square root problem and related areas in harmonic analysis and operator theory. His work bridges theoretical mathematics with practical applications in physics and engineering, particularly in areas like sea ice modeling and wave propagation.

Analysis of his recent publications reveals a consistent research trajectory focused on boundary value problems and operator theory in non-smooth settings. His work spans pure mathematical theory to applications in climate science, with a recurring theme of establishing regularity properties for solutions to partial differential equations under challenging conditions.

Professor Haller actively contributes to the academic community through organizing the International Internet Seminar (ISem27/28) on Harmonic Analysis Techniques for Elliptic Operators, where he serves as a virtual lecturer alongside other leading mathematicians. This seminar provides a platform for master's students, PhD candidates, and post-docs to engage with cutting-edge techniques in harmonic analysis.

His research collaborations include prominent mathematicians such as S. Bechtel, R.M. Brown, P. Tolksdorf, H. Meinlschmidt, and J. Rehberg, resulting in publications in prestigious journals including Journal of Evolution Equations, Advances in Mathematics, and Annales de l'Institut Fourier. These collaborations demonstrate his integration within the international mathematical community and his leadership in advancing the field of PDE analysis.