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© 2018

2016 MATRIX Annals

  • David R. Wood (Editor-in-Chief)
  • Jan de Gier
  • Cheryl E.  Praeger
  • Terence Tao
Book

Part of the MATRIX Book Series book series (MXBS, volume 1)

Table of contents

  1. Front Matter
    Pages i-xxix
  2. Refereed Articles

    1. Front Matter
      Pages 1-1
    2. Clark Barwick, Jay Shah
      Pages 17-42
    3. David Michael Roberts, Raymond F. Vozzo
      Pages 43-47
    4. Emily Riehl
      Pages 49-76
    5. Helge Glöckner
      Pages 101-165
    6. Vera Roshchina, Tian Sang, David Yost
      Pages 167-175
    7. Nadezda Sukhorukova, Julien Ugon, David Yost
      Pages 177-182
    8. Magnus Goffeng, Bram Mesland
      Pages 183-201
    9. Chris Bourne, Hermann Schulz-Baldes
      Pages 203-227
    10. Søren Eilers, Gunnar Restorff, Efren Ruiz, Adam P. W. Sørensen
      Pages 229-249
    11. Rinat Kashaev
      Pages 277-286
    12. Joan E. Licata, Daniel V. Mathews
      Pages 287-303
    13. George Shabat
      Pages 305-322
    14. Jonathan Spreer, Stephan Tillmann
      Pages 323-347
  3. Other Contributed Articles

    1. Front Matter
      Pages 349-349

About this book

Introduction

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.

Keywords

Mathematical Research Institute MATRIX category theory group theory optimization dynamical systems K-theory functional analysis topology

Editors and affiliations

  • David R. Wood (Editor-in-Chief)
    • 1
  • Jan de Gier
    • 2
  • Cheryl E.  Praeger
    • 3
  • Terence Tao
    • 4
  1. 1.Monash UniversityClaytonAustralia
  2. 2.University of MelbourneMelbourneAustralia
  3. 3.University of Western AustraliaCrawleyAustralia
  4. 4.UCLALos AngelesUSA

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 at the 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 2014 Breakthrough Prize in Mathematics.

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