Overview
- The book displays the research and activities of Australia's international and residential mathematics research institute, MATRIX
- Contains articles on hot topics in the first five major programs held at MATRIX in its first year, 2016
- Top-level science from Australia
- Includes supplementary material: sn.pub/extras
Part of the book series: MATRIX Book Series (MXBS, volume 1)
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Table of contents (27 chapters)
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Front Matter
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Refereed Articles
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Front Matter
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Other Contributed Articles
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Front Matter
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Keywords
About this book
MATRIX is Australia’s 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.
Reviews
Editors and Affiliations
About the editors
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. David’s 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 of the School of Mathematics and Statistics at the University of Melbourne. He is also Chief Investigator of the ARC Centre of Excellence for Mathematical and Statistical Frontiers. Jan’s main research areas are mathematical physics, statistical mechanics, interacting particle systems, solvable lattice models, representation theory and multivariable polynomials. He also studies applications of stochastic particle systems to real world traffic modelling.
Cheryl Praeger AM FAA is Emeritus Professor of Mathematics atthe University of Western Australia. She is former Foreign Secretary of the Australian Academy of Science, former Member-at-Large of the Executive of the International Mathematical Union, former ARC Federation Fellow, and was the inaugural Director of the UWA Centre for the Mathematics of Symmetry and Computation. Cheryl’s research has focused on the theory of group actions and their applications in algebraic graph theory and for combinatorial designs; and algorithms for group computation including questions in statistical group theory and algorithmic complexity.
Terence Tao FAA FRS is an Australian-American mathematician who works in harmonic analysis, partial differential equations, algebraic combinatorics, arithmetic combinatorics, geometric combinatorics, compressed sensing and analytic number theory. He holds the James and Carol Collins chair in mathematics at the University of California, Los Angeles. Tao was a co t of the 2006 Fields Medal and the 2014Breakthrough Prize in Mathematics.
Bibliographic Information
Book Title: 2016 MATRIX Annals
Editors: David R. Wood, Jan de Gier, Cheryl E. Praeger, Terence Tao
Series Title: MATRIX Book Series
DOI: https://doi.org/10.1007/978-3-319-72299-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Hardcover ISBN: 978-3-319-72298-6Published: 20 April 2018
Softcover ISBN: 978-3-030-10183-1Published: 19 December 2018
eBook ISBN: 978-3-319-72299-3Published: 10 April 2018
Series ISSN: 2523-3041
Series E-ISSN: 2523-305X
Edition Number: 1
Number of Pages: XXIX, 656
Number of Illustrations: 219 b/w illustrations, 73 illustrations in colour
Topics: Category Theory, Homological Algebra, Group Theory and Generalizations, Optimization, K-Theory, Topology