Dorothee Frey

Prof. Dr. Dorothee Frey is a Professor in the Department of Mathematics at Karlsruhe Institute of Technology (KIT), where she leads the Functional Analysis Working Group within the Institute for Analysis. Her position is situated in the Faculty of Mathematics, and she maintains an active research program focusing on harmonic analysis, partial differential equations, and functional analysis. With regular office hours on Tuesdays from 10am-11am in room 2.042 of the College Building for Mathematics, she actively supervises seminars and delivers lectures across multiple semesters through 2025.

Prof. Frey's research interests center on harmonic analysis and its applications to partial differential equations, particularly wave phenomena, dispersive equations, and operator theory. Her work bridges theoretical mathematics with practical applications in fluid dynamics and mathematical physics. She has developed significant contributions in Strichartz estimates, wave equations with low regularity coefficients, and functional calculus approaches to paraproducts and pseudodifferential operators. Her research demonstrates strong connections between abstract functional analysis techniques and concrete problems in mathematical physics.

Analyzing her publication record from 2013-2022 reveals consistent contributions to harmonic analysis, particularly in weighted norm inequalities, operator theory, and PDE applications. Her work shows increasing specialization in wave phenomena and dispersive equations, culminating in her current role as principal investigator in CRC 1173 projects on dispersive estimates for wave equations and nonlinear stability of periodic waves. The trend shows a clear progression from foundational work in functional analysis and harmonic analysis toward increasingly specialized applications in wave phenomena and mathematical physics.

Prof. Frey actively contributes to the mathematical community through editorial work, serving on the editorial committees of Mémoires de la SMF and Bulletin de la SMF. Her organizational activities include co-organizing significant workshops and programs, such as the upcoming Frontiers in harmonic analysis program at the Isaac Newton Institute (2027) and the Workshop on Harmonic Analysis and Fluid Flows (2025), as well as past events like the Oberwolfach Seminar on Operator-Adapted Spaces in Harmonic Analysis and PDEs (2022).

As a principal investigator in the Collaborative Research Center CRC 1173 'Wave phenomena: analysis and numerics,' Prof. Frey leads two major research projects: A13 on 'Dispersive estimates for wave equations with low regularity coefficients' (with R. Schnaubelt since July 2021) and A14 on 'Nonlinear stability of periodic waves in dissipative-dispersive systems' (with B. de Rijk since July 2023). These projects represent substantial research funding and collaborative efforts within the mathematical community.

Prof. Frey is an active member of KIT's mathematical research infrastructure, participating in the Institute for Analysis and contributing to the Junior Research Groups ecosystem, particularly those focused on PDEs and wave phenomena. Her work intersects with multiple research groups within the Department of Mathematics, including those working on nonlinear partial differential equations and stability analysis, creating a robust collaborative environment for advancing mathematical analysis.