mathematics

J. Hyam Rubinstein

J. Hyam Rubinstein is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand J. Hyam Rubinstein rather than just read about it. In short: Joachim Hyam Rubinstein FAA (born 7 March 1948, in Melbourne) is an Australian top mathematician specialising in low-dimensional topology; he is currently serving as an honorary professor in the Department of Mathematics and Statistics at the University of Melbourne, having retired in 2019. He has spoken and written widely on the state of the mathematical sciences in Australia, with particular focus on the impacts o…

Key takeaways

J. Hyam Rubinstein belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect J. Hyam Rubinstein to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of J. Hyam Rubinstein from memory before moving on to harder problems.

Reference excerpt

Joachim Hyam Rubinstein FAA (born 7 March 1948, in Melbourne) is an Australian top mathematician specialising in low-dimensional topology; he is currently serving as an honorary professor in the Department of Mathematics and Statistics at the University of Melbourne, having retired in 2019. He has spoken and written widely on the state of the mathematical sciences in Australia, with particular focus on the impacts of reduced Government spending for university mathematics departments.

Education

In 1965, Rubinstein matriculated (i.e. graduated) from Melbourne High School in Melbourne, Australia winning the maximum of four exhibitions. In 1969, he graduated from Monash University in Melbourne, with a B.Sc.(Honours) degree in mathematics. In 1974, Rubinstein received his Ph.D. from the University of California, Berkeley under the advisership of John Stallings. His dissertation was on the topic of Isotopies of Incompressible Surfaces in Three Dimensional Manifolds.

Research interests His major contributions include results involving almost normal Heegaard splittings and the closely related joint work with Jon T. Pitts relating strongly irreducible Heegaard splittings to minimal surfaces, joint work with William Jaco on special triangulations of 3-manifolds (namely 0-efficient and 1-efficient triangulations), and joint work with Martin Scharlemann on the Rubinstein–Scharlemann graphic. He is a key figure in the algorithmic theory of 3-manifolds, and one of the initial developers of the Regina program, which implements his 3-sphere recognition algorithm. His research interests also include: shortest networks applied to underground mine design, machine learning, learning theory, financial mathematics, and stock market trading systems.

Honours Past President of the Australian Mathematical Society. Chair of the Australian Committee for the Mathematical Sciences. Elected Fellow of the Australian Academy of Science in 2003. Recipient of the Hannan Medal in 2004. Recipient of the George Szekeres Medal in 2008. Fellow of the American Mathematical Society, 2012. From July 11 to 22, 2011, a workshop and conference in his honour, jointly titled “Hyamfest: Geometry & Topology Down Under”, were held at the University of Melbourne.

References

External links J. Hyam Rubinstein publications indexed by Google Scholar Interview LinkedIn page

Illustrations

Worked examples

Example 1 — a first encounter with J. Hyam Rubinstein

Start with the simplest possible case. Write down what J. Hyam Rubinstein claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to J. Hyam Rubinstein before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about J. Hyam Rubinstein ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of J. Hyam Rubinstein

In research: J. Hyam Rubinstein appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses J. Hyam Rubinstein in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: J. Hyam Rubinstein is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1948 births, 20th-century Australian mathematicians, 21st-century Australian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for J. Hyam Rubinstein outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study J. Hyam Rubinstein in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what J. Hyam Rubinstein means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain J. Hyam Rubinstein out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is J. Hyam Rubinstein in simple terms?

Why does J. Hyam Rubinstein matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study J. Hyam Rubinstein?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on J. Hyam Rubinstein.