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Prof

Joachim Rubinstein

Honorary
Mathematics and Statistics
science & technology
physical sciences
mathematics
technology
mathematics, applied
operations research & management science
computer science
3-manifolds
engineering
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
Completed
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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 163 for Joachim Rubinstein.

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SPUN NORMAL SURFACES IN 3-MANIFOLDS III: BOUNDARY SLOPES

E Kang, JH Rubinstein

Journal article  |  2022  |  Proceedings of the American Mathematical Society

Spun normal surfaces are a useful way of representing proper essential surfaces, using ideal triangulations for 3-manifolds with t..

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Counting essential surfaces in 3-manifolds

Nathan M Dunfield, Stavros Garoufalidis, J Hyam Rubinstein

Journal article  |  2022  |  INVENTIONES MATHEMATICAE

We consider the natural problem of counting isotopy classes of essential surfaces in 3-manifolds, focusing on closed essential sur..

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A model for open-pit pushback design with operational constraints

Juan L Yarmuch, Marcus Brazil, Hyam Rubinstein, Doreen A Thomas

Journal article  |  2021  |  OPTIMIZATION AND ENGINEERING

Open-pit mines are surface excavations created to extract valuable material which, in most cases, is located near the surface. Pus..

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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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Efficient triangulations and boundary slopes

Birch Bryant, William Jaco, J Hyam Rubinstein

Journal article  |  2021  |  TOPOLOGY AND ITS APPLICATIONS

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A mathematical model for mineable pushback designs

Juan L Yarmuch, Marcus Brazil, Hyam Rubinstein, Doreen A Thomas

Journal article  |  2021  |  INTERNATIONAL JOURNAL OF MINING RECLAMATION AND ENVIRONMENT

In the design of open pit mines, the region to be mined is partitioned into pushbacks, subregions that allow the mining to be divi..

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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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On minimal ideal triangulations of cusped hyperbolic 3-manifolds

William Jaco, Hyam Rubinstein, Jonathan Spreer, Stephan Tillmann

Journal article  |  2020  |  JOURNAL OF TOPOLOGY

Previous work of the authors studies minimal triangulations of closed 3-manifolds using a characterisation of low degree edges, em..

163

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
Other Mathematical Sciences
Computer Vision and Multimedia Computation
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 M..

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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