J. Hyam Rubinstein

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J. Hyam Rubinstein
Joachim Hyam Rubinstein.jpeg
J. Hyam Rubinstein in 2005
(photo from MFO)
BornMarch 7, 1948
Alma materUniversity of California, Berkeley
Known for3-sphere recognition
AwardsAustralian Mathematical Society Medal
George Szekeres Medal (2008)
Hannan Medal (2003)
Scientific career
Fieldslow-dimensional topology
Doctoral advisorJohn Robert Stallings

Joachim Hyam Rubinstein FAA (born 7 March 1948, in Melbourne) is an Australian top mathematician specialising in low-dimensional topology;[1] he is currently serving as a professor in the Department of Mathematics and Statistics at the University of Melbourne.

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.[2][3][4]


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.[5]

Research interests[edit]

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.


  • 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.[7]


  1. ^ "Hyam Rubinstein". www.science.org.au. Retrieved 2020-12-31.
  2. ^ Universities' Maths Departments Suffer Cutbacks, 2008-03-19. http://www.abc.net.au/pm/content/2008/s2194629.htm
  3. ^ A National Strategy for Mathematical Sciences in Australia, 2009-03-03. http://www.amsi.org.au/pdfs/National_Mats_strategy.pdf
  4. ^ Rebuilding the Mathematical Sciences, 2009. http://www.atse.org.au/index.php?sectionid=1299
  5. ^ J. Hyam Rubinstein at the Mathematics Genealogy Project
  6. ^ List of Fellows of the American Mathematical Society, retrieved 2013-07-07.
  7. ^ "Asia Pacific Math Newsletter". www.asiapacific-mathnews.com. Retrieved 2020-12-31.

External links[edit]