MATRIX is Australias international, residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each lasting 1-4 weeks. This book is a scientific record of the five programs held at MATRIX in its first year, 2016:
- Higher Structures in Geometry and Physics
- Winter of Disconnectedness
- Approximation and Optimisation
- Refining C*-Algebraic Invariants for Dynamics using KK-theory
- Interactions between Topological Recursion, Modularity, Quantum Invariants and Low-dimensional Topology
The MATRIX Scientific Committee selected these programs based on their scientific excellence and the participation rate of high-profile international participants. Each program included ample unstructured time to encourage collaborative research; some of the longer programs also included an embedded conference or lecture series.
The articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on selected topics related to the MATRIX program; the remaining contributions are predominantly lecture notes based on talks or activities at MATRIX.
David R. Wood is co-Director of MATRIX, and Professor in the Discrete Mathematics Research Group of the School of Mathematical Sciences at Monash University. Davids research interests are in discrete mathematics and theoretical computer science, especially structural graph theory, extremal graph theory, geometric graph theory, graph colouring, and combinatorial geometry.
Jan de Gier is co-Director of MATRIX, and Professor and Head ol³<