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Prof

Joachim Rubinstein

Honorary
Mathematics and Statistics
science & technology
physical sciences
mathematics
technology
operations research & management science
mathematics, applied
computer science
3-manifolds
steiner trees
Joachim Rubinstein's Profile Picture
Prof

Joachim Rubinstein

 
Division
Science
 
Primary Interest
Financial mathematics
Joachim Rubinstein's Profile Picture
Prof

Joachim Rubinstein

 
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Joachim's  Short Profile
 

Projects

Displaying the 10 most recent projects from 27 for Joachim Rubinstein.

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TRISECTIONS, TRIANGULATIONS AND THE COMPLEXITY OF MANIFOLDS (DP 190102259, NON-LEAD).

This project aims at practical representations of 3-dimensional and 4-dimensional spaces as needed in applications. Topology is the mathemat..

2019 - 2023
Active
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Classical and quantum invariants of low-dimensional manifolds

This project aims to advance our understanding of knots and 3-dimensional spaces, which arise naturally in fields as diverse as physics, com..

2019 - 2022
Active
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INVARIANTS, GEOMETRIC AND DISCRETE STRUCTURES ON MANIFOLDS

This project aims to develop practical methods for finding geometric and discrete structures on manifolds in both low and high dimensions an..

2016 - 2019
Completed
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Optimisation Geometry

Signal processing is an enabling technology for multi-billion dollar industries including broadband connections, medical imaging devices and..

2014 - 2017
Completed
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Optimisation Geometry

Signal processing is an enabling technology for multi-billion dollar industries including broadband connections, medical imaging devices and..

2014 - 2017
Completed
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Maximising value in underground mine planning

Mining is crucial to Australia’s economy, contributing 8 per cent of GDP and 55 per cent of the value of goods exported. Working with mining..

2014 - 2017
Completed
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Maximising value in underground mine planning

Mining is crucial to Australia’s economy, contributing 8 per cent of GDP and 55 per cent of the value of goods exported. Working with mining..

2014 - 2017
Completed
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Triangulations in dimensions 3 and 4: discrete and geometric structures

Recently there have been spectacular advances in understanding 3-dimensional spaces and the interaction between ideas in mathematical physic..

2013 - 2017
Completed
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Maximisation of value in underground mine access design.

This project represents a major advance in the problem of optimising the mine value associated with the access infrastructure of underground..

2010 - 2014
Completed
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Development of a stimulation tool for turntable efficiency

2014 - 2014
Completed

27

Projects

Project Types

24

Research Grant

3

Research Contracts

Scholarly Works

Displaying the 10 most recent scholarly works from 138 for Joachim Rubinstein.

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Minimum Steiner trees on a set of concyclic points and their center

David Whittle, Marcus Brazil, Peter Alexander Grossman, Joachim Hyam Rubinstein, Doreen A Thomas

Journal article  |  2021  |  INTERNATIONAL TRANSACTIONS IN OPERATIONAL RESEARCH

Consider a configuration of points comprising a point q and a set of concyclic points R that are all a given distance r from q in ..

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Solving the prize-collecting Euclidean Steiner tree problem

David Whittle, Marcus Brazil, Peter A Grossman, J Hyam Rubinstein, Doreen A Thomas

Journal article  |  2020  |  INTERNATIONAL TRANSACTIONS IN OPERATIONAL RESEARCH

The prize-collecting Euclidean Steiner tree (PCEST) problem is a generalization of the well-known Euclidean Steiner tree (EST) pro..

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OPTIMAL LOCATION of AN UNDERGROUND CONNECTOR USING DISCOUNTED STEINER TREE THEORY

KG Sirinanda, M Brazil, PA Grossman, JH Rubinstein, DA Thomas

Journal article  |  2020  |  ANZIAM Journal

The objective of this paper is to demonstrate that the gradient-constrained discounted Steiner point algorithm (GCDSPA) described ..

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Scheduling the construction of value and discount weighted trees for maximum net present value

PA Grossman, M Brazil, JH Rubinstein, DA Thomas

Journal article  |  2020  |  Computers and Operations Research

Given a binary rooted tree in which each edge has an associated value and an associated discount factor, the problem addressed her..

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Optimum ramp design in open pit mines

JL Yarmuch, M Brazil, H Rubinstein, DA Thomas

Journal article  |  2020  |  Computers and Operations Research

The problem studied in this paper is that of designing the optimal open pit haulage ramp that, for a given ramp width and a maximu..

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Multisections of Piecewise Linear Manifolds

J Hyam Rubinstein, Stephan Tillmann

Journal article  |  2020  |  INDIANA UNIVERSITY MATHEMATICS JOURNAL

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Z(2)-Thurston norm and complexity of 3-manifolds, II

William Jaco, J Hyam Rubinstein, Jonathan Spreer, Stephan Tillmann

Journal article  |  2020  |  ALGEBRAIC AND GEOMETRIC TOPOLOGY

In this sequel to earlier papers by three of the authors, we obtain a new bound on the complexity of a closed 3–manifold, as well ..

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Computing trisections of 4-manifolds

Mark Bell, Joel Hass, Joachim Hyam Rubinstein, Stephan Tillmann

Journal article  |  2018  |  PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

We describe an algorithm to compute trisections of orientable four-manifolds using arbitrary triangulations as input. This results..

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Generalized trisections in all dimensions

J Hyam Rubinstein, Stephan Tillmann

Journal article  |  2018  |  PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

This paper describes a generalization of Heegaard splittings of 3-manifolds and trisections of 4-manifolds to all dimensions, usin..

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Minimal curvature-constrained networks

D Kirszenblat, KG Sirinanda, M Brazil, PA Grossman, JH Rubinstein, DA Thomas

Journal article  |  2018  |  JOURNAL OF GLOBAL OPTIMIZATION

This paper introduces an exact algorithm for the construction of a shortest curvature-constrained network interconnecting a given ..

138

Scholarly Works

Keyword Analysis

Expanding Knowledge
Pure Mathematics
Numerical and Computational Mathematics
Resources Engineering and Extractive Metallurgy
Applied Mathematics
Mining and Extraction of Energy Resources
Computer Vision and Multimedia Computation
Other Mathematical Sciences
Statistics
Artificial Intelligence

News

Displaying the 1 most recent news article from 1 for Joachim Rubinstein.

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Using maths to map mines deep underground

Doreen Thomas, Joachim Rubinstein

The wires of a tiny microchip may seem a world away from a huge underground mine full of complex tunnels, but for a team of University of Me..

October 11, 2017
pursuit Article

1

News Articles

Honours, Awards and Fellowships

2003

FAA - Fellow of the Australian Academy of Science

1

Award

Credentials

Positions

Honorary

Mathematics and Statistics

Education

Bachelor of Science

Monash University

Doctor of Philosophy

University of California

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