We are pleased to announce the selection of two new Young CAS PIs for the period of August 2024 to June 2026!
2024/2026
Geometric Methods in Higher Homological Algebra
Geometric Methods in Higher Homological Algebra
Mathematics
Principal investigators
Johanne Haugland
Postdoctoral Fellow
Norwegian University of Science and Technology (NTNU)
Year at CAS
Abstract
Over the last two decades, higher homological algebra has emerged as a vibrant and extremely active area of contemporary mathematics. One of the big open questions in this field, is how the global data associated to an algebra determines existence of higher-dimensional structures. The project will build a bridge between higher homological algebra and the study of surface geometry, giving access to powerful geometric tools to solve this problem. Bringing together a diverse team of world-leading experts, the project aims to shape the future of higher homological algebra through significantly advancing the understanding of when and why higher homological phenomena arise.