MATRIX is Australia’s international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-4 weeks in duration. This book is a scientific record of the ten programs held at MATRIX in 2019 and the two programs held in January 2020:
· Topology of Manifolds: Interactions Between High and Low Dimensions
· Australian-German Workshop on Differential Geometry in the Large
· Aperiodic Order meets Number Theory
· Ergodic Theory, Diophantine Approximation and Related Topics
· Influencing Public Health Policy with Data-informed Mathematical Models of Infectious Diseases
· International Workshop on Spatial Statistics
· Mathematics of Physiological Rhythms
· Conservation Laws, Interfaces and Mixing
· Structural Graph Theory Downunder
· Tropical Geometry and Mirror Symmetry
· Early Career Researchers Workshop on Geometric Analysis and PDEs
· Harmonic Analysis and Dispersive PDEs: Problems and Progress
The articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on a topic related to the MATRIX program; the remaining contributions are predominantly lecture notes or short articles based on talks or activities at MATRIX.