معرفی
Alan Sola is a Lecturer in the Department of Mathematics at Stockholm University's Faculty of Science, where he serves as Head of the Division of Mathematics. His office is located in Room G1359 at Building 1, Albano campus, and he can be reached at sola@math.su.se or by phone at +46 8 16 45 23.
Dr. Sola's research program centers on mathematical analysis with particular emphasis on complex analysis, harmonic analysis, operator theory, probability theory, and dynamical systems. His work examines rational inner functions from multiple perspectives including Clark measures, singularities, level curve portraits, and connections to stable polynomials. He has established significant collaborations with researchers like K. Bickel, J.E. Pascoe, and G. Knese, resulting in numerous publications in top mathematical journals.
His recent publications (2021-2025) reveal a cohesive research trajectory focused on multivariable complex analysis, particularly examining rational inner functions and their properties across different mathematical contexts. This work bridges pure analysis with applications in operator theory and dynamical systems, demonstrating both theoretical depth and interdisciplinary relevance.
Dr. Sola actively supervises graduate students at multiple levels. His current PhD student is Hampus Nyberg (expected graduation 2028). Former PhD students include Eleftherios Theodosiadis (2024) who researched "Geometry of multi-slit Loewner chains and semigroups of finite shift" and Linus Lidman Bergqvist (2023) who investigated "Holomorphic functions in polydiscs and measures on the distinguished boundary." He has also guided Master's students including David Appelgren (2025), Nell P. Jacobsson (2023), and Linus Lidman Bergqvist (2017), several of whom have co-authored publications with him.
As an educator, Dr. Sola has taught advanced graduate courses including Quasiconformal maps (fall 2023), Complex Dynamics (fall 2021), and Geometric Function Theory (fall 2020 and spring 2018). His teaching materials and lecture notes demonstrate his commitment to making sophisticated mathematical concepts accessible to students. He has also participated in significant conferences such as the upcoming Operators on analytic function spaces meeting at CIRM (France) in December 2024.
