Applied and Computational Complex Analysis in the 21st century

Complex analysis is a vibrant research area—with manifold applications—in which computer experimentation has consistently proved to be a powerful and exciting mode of discovery. This program combines computational and experimental approaches in complex analysis, aiming to promote new synergies with the more theoretical facets of this rich research domain. It will include cutting-edge techniques within the field of computational complex analysis, software package tutorials and demonstrations to engage participants in the use and development of new software. The program will connect to computational and experimental mathematics via a threefold approach: 1) A discussion of modern techniques within the field of computational complex analysis; 2) Software package tutorials and demonstrations; 3) The engagement of participants, particularly long-term visitors and junior researchers in the development and deployment of software packages. This approach will directly blend theory and computation. Three Semester Program Workshops will involve participants beyond the long-term core. “Analytical Techniques and Applications” will focus on selected key themes from diverse application areas within mathematics, science and engineering. “Computational Complex Analysis” will cover recent progress on classical and emerging computational methods, and software tools. Finally, “Frontiers and Future Perspectives” will survey the broad landscape of research in applied and computational complex analysis, with a view to identifying and highlighting new developments in the field and scoping the potential for future ones. These short-term workshops will be complemented by an opening event and a range of collaborative activities organized throughout the Semester Program.

Topics: Complex Analysis