Kari Astala

Kari Astala is a Research Professor and Research Director at the Department of Mathematics and Statistics, University of Helsinki. He also serves as the Supervisor for the Doctoral Programme in Mathematics and Statistics. His research focuses on geometric function theory, partial differential equations, and quasiconformal mappings, with interdisciplinary applications in inverse problems and materials science.

• Affiliations: University of Helsinki, Department of Mathematics and Statistics, Doctoral Programme in Mathematics and Statistics

Major research interests include the study of quasiconformal mappings, elliptic PDEs, and their connections to nonlinear elasticity and inverse problems. Astala has contributed to foundational results in the field, such as the solution to Calderón’s inverse conductivity problem in the plane and the development of theories around Beltrami equations and Schauder estimates.

His publications (43) span decades, with recent work addressing global smoothness in Triebel-Lizorkin spaces and homogenization of singular integrals. Key articles include analyses of nonlinear Beltrami operators and principal maps, reflecting his deep engagement with geometric analysis and its applications.

• Awards: Salem Prize (1994), Finnish Science Foundation's Magnus Ehrnrooth Prize (2003), Finnish Cultural Foundation Prize of Recognition (2011)

Astala has actively supervised doctoral students and led research projects like QUAMAP (2019–2024), exploring quasiconformal methods in analysis. He maintains international collaborations, including visiting positions at the Instituto de Ciencias Matematicas (ICMAT) and the Universidad Autonoma de Madrid.