J. Hyam Rubinstein
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Australian mathematician
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J. Hyam Rubinsteinmathematics Degrees
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Mathematics
J. Hyam Rubinstein's Degrees
- PhD Mathematics University of Melbourne
- Bachelors Mathematics University of Melbourne
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Why Is J. Hyam Rubinstein Influential?
(Suggest an Edit or Addition)According to Wikipedia, Joachim Hyam Rubinstein FAA 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.
J. Hyam Rubinstein's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- 0-Efficient Triangulations of 3-Manifolds (2002) (163)
- Involutions and isotopies of lens spaces (1985) (141)
- Comparing Heegaard splittings of non-haken 3-manifolds (1996) (109)
- An Algorithm to Recognize the 3-Sphere (1995) (100)
- Heegaard structures of negatively curved 3-manifolds (1997) (96)
- A variational approach to the Steiner network problem (1991) (74)
- On 3-manifolds that have finite fundamental group and contain Klein bottles (1979) (70)
- Advances in Steiner trees (2000) (68)
- Applications of minimax to minimal surfaces and the topology of 3-manifolds (1987) (68)
- Minimal triangulations for an infinite family of lens spaces (2008) (67)
- PL minimal surfaces in 3-manifolds (1988) (66)
- Incompressible Surfaces in Once‐Punctured Torus Bundles (1982) (58)
- $\pi_1$-injective surfaces in graph manifolds (1998) (57)
- PL equivariant surgery and invariant decompositions of 3-manifolds (1989) (55)
- The Steiner ratio conjecture for six points (1991) (52)
- A strong convergence theorem for contraction semigroups in Banach (2008) (51)
- One-sided Heegaard splittings of 3-manifolds (1978) (50)
- Existence of minimal surfaces of bounded topological type in three-manifolds (1986) (45)
- Combinatorial Cubings, Cusps, and the Dodecahedral Knots (1992) (43)
- 1-efficient triangulations and the index of a cusped hyperbolic 3-manifold (2013) (43)
- Equivariant minimax and minimal surfaces in geometric three-manifolds (1988) (43)
- Coverings and minimal triangulations of 3-manifolds (2009) (40)
- Minimal Surfaces in Geometric 3-Manifolds (2005) (39)
- Layered-triangulations of 3-manifolds (2006) (38)
- Free actions of some finite groups onS3. I (1979) (37)
- One-Sided Heegaard Splittings and Homeotopy Groups of Some 3-Manifolds (1984) (37)
- A Geometric Approach to Sample Compression (2009) (36)
- Diffeomorphisms of Elliptic 3-Manifolds (2011) (36)
- Optimising declines in underground mines (2003) (35)
- Topology and Geometry in Dimension Three (2011) (35)
- Shifting: One-inclusion mistake bounds and sample compression (2009) (34)
- Algorithms for essential surfaces in 3-manifolds (2002) (33)
- A national strategy for mathematical sciences in Australia (2009) (31)
- Gradient-constrained minimum networks. I. Fundamentals (2001) (30)
- Veering triangulations admit strict angle structures (2010) (29)
- Cusp structures of alternating links (1992) (28)
- Compression Theorems and Steiner Ratios on Spheres (1997) (28)
- Geometry of Low-dimensional Manifolds: An introduction to polyhedral metrics of non-positive curvature on 3-manifolds (1991) (28)
- The Weber-Seifert dodecahedral space is non-Haken (2009) (27)
- Curvature-constrained directional-cost paths in the plane (2012) (27)
- Ideal triangulations of 3-manifolds I: spun normal surface theory (2004) (26)
- Visualizing Ricci Flow of Manifolds of Revolution (2004) (26)
- Compactifying coverings of closed 3-manifolds (1989) (26)
- Decline design in underground mines using constrained path optimisation (2008) (25)
- Combined optimisation of an open-pit mine outline and the transition depth to underground mining (2018) (25)
- Steiner Trees for Terminals Constrained to Curves (1997) (25)
- Network optimisation of underground mine design (2001) (23)
- Incompressible surfaces and the topology of 3-dimensional manifolds (1993) (21)
- Finiteness of 3-manifolds associated with non-zero degree mappings (2005) (20)
- Minimum Networks for Four Points in Space (2002) (20)
- MAPPING CLASS GROUPS OF HEEGAARD SPLITTINGS (2007) (20)
- Minimal Steiner Trees for Rectangular Arrays of Lattice Points (1997) (19)
- Stability of asymmetric tetraquarks in the minimal-path linear potential (2009) (19)
- THE 3D-INDEX AND NORMAL SURFACES (2016) (19)
- Immersed surfaces in cubed manifolds (1997) (18)
- Cost Optimisation for Underground Mining Networks (2005) (18)
- $$\mathbb Z _2$$-Thurston norm and complexity of 3-manifolds (2013) (18)
- Optimisation in the design of underground mine access (2004) (18)
- Constrained Path Optimisation for Underground Mine Layout (2007) (17)
- Minimal Steiner Trees for 2k×2k Square Lattices (1996) (17)
- Ideal triangulations of 3-manifolds II; taut and angle structures (2005) (17)
- The classification of homotopy classes of bounded curvature paths (2014) (16)
- A geometric approach to shortest bounded curvature paths (2014) (16)
- A network model to optimise cost in underground mine design (2002) (16)
- Triangulations of hyperbolic 3‐manifolds admitting strict angle structures (2011) (15)
- Dehn’s lemma and handle decompositions of some 4-manifolds (1980) (14)
- Full Minimal Steiner Trees on Lattice Sets (1997) (14)
- Degree-five Steiner points cannot reduce network costs for planar sets (1992) (14)
- INTERSECTION PATTERNS OF ESSENTIAL SURFACES IN 3-MANIFOLDS (1999) (14)
- Shifting, One-Inclusion Mistake Bounds and Tight Multiclass Expected Risk Bounds (2006) (14)
- Non-uniqueness of the homotopy class of bounded curvature paths (2014) (13)
- Genus two Heegaard splittings of orientable three-manifolds (1997) (13)
- Localising Dehn's lemma and the loop theorem in 3-manifolds (2004) (12)
- Geodesic Surfaces in Knot Complements (1997) (12)
- The kernel of integral cup product (1987) (12)
- MINIMAL SPHERES OF ARBITRARILY HIGH MORSE INDEX (2002) (11)
- ℤ2–Thurston norm and complexity of 3–manifolds, II (2009) (11)
- Polyhedral Metrics and 3‐Manifolds which are Virtual Bundles (1999) (11)
- Generalized trisections in all dimensions (2018) (11)
- Canonical surgery on alternating link diagrams (1992) (11)
- Bounding Embeddings of VC Classes into Maximum Classes (2014) (11)
- Problems around 3-manifolds (2009) (10)
- MORSE THEORY FOR MIN-TYPE FUNCTIONS* (1997) (10)
- On scott’s core theorem (1990) (10)
- Comparing Heegaard splittings -the bounded case (1998) (10)
- An Algorithm to Recognise Small Seifert Fiber Spaces (2004) (10)
- Computing trisections of 4-manifolds (2017) (10)
- FINDING PLANAR SURFACES IN KNOT- AND LINK-MANIFOLDS (2006) (10)
- Multisections of piecewise linear manifolds (2016) (10)
- Covering spaces of 3-manifolds (1987) (9)
- On minimal ideal triangulations of cusped hyperbolic 3‐manifolds (2018) (9)
- Period three actions on the three-sphere (2002) (9)
- Determining the open pit to underground transition: A new method (2015) (9)
- Geometric & Topological Representations of Maximum Classes with Applications to Sample Compression (2008) (8)
- The Steiner ratio conjecture for cocircular points (1992) (8)
- Maximizing the net present value of a Steiner tree (2015) (8)
- Improving Underground Mine Access Layouts Using Software Tools (2014) (8)
- On the Neuwirth conjecture for knots (2011) (8)
- The Generalized Smale Conjecture for 3-manifolds with genus 2 one-sided Heegaard splittings (1997) (8)
- 3-manifolds built from injective handlebodies (2006) (8)
- Generation of diagonal acts of some semigroups of transformations and relations (2008) (8)
- SURFACES IN THE FIGURE-8 KNOT COMPLEMENT (1998) (7)
- Optimally locating a junction point for an underground mine to maximise the net present value (2014) (7)
- Approximations and Lower Bounds for the Length of Minimal Euclidean Steiner Trees (2006) (7)
- Heegaard splittings and a theorem of Livesay (1976) (7)
- Even triangulations of n–dimensional pseudo-manifolds (2014) (7)
- Shortest networks on spheres (1997) (6)
- Optimum ramp design in open pit mines (2020) (6)
- Access Optimisation Tools in Underground Mine Design (2009) (6)
- Graham's problem on shortest networks for points on a circle (1992) (6)
- Gradient-constrained discounted Steiner trees II: optimally locating a discounted Steiner point (2016) (6)
- Inflations of ideal triangulations (2013) (6)
- Gradient-constrained discounted Steiner trees I: optimal tree configurations (2016) (6)
- Traversing three-manifold triangulations and spines (2018) (6)
- On 3-class groups of certain pure cubic fields (2008) (5)
- Nonorientable surfaces in some non-haken 3-manifolds (1982) (5)
- Optimal curvature-constrained paths for general directional-cost functions (2013) (5)
- Transverse Heegaard splittings. (1997) (5)
- Minimal curvature-constrained networks (2016) (5)
- Existence of positive solutions for nonlocal and nonvariational elliptic systems (2008) (4)
- Continuous nilpotents on topological spaces (1987) (4)
- Triangulations of 3-manifolds with essential edges (2014) (4)
- Embedded minimal surfaces in 3-manifolds with positive scalar curvature (1985) (4)
- One-sided Heegaard splittings of RP 3 (2005) (4)
- A piecewise linear theory of minimal surfaces in 3-manifolds (1986) (4)
- Four-dimensional Haken cobordism theory (2012) (4)
- Scheduling the construction of value and discount weighted trees for maximum net present value (2020) (4)
- One-sided Heegaard splittings of non-Haken 3-manifolds (2007) (4)
- Invariant Heegaard surfaces in manifolds with involutions and the Heegaard genus of double covers (2006) (4)
- The steiner minimal network for convex configurations (1993) (4)
- The topology of minimal surfaces in Seifert fiber spaces. (1995) (4)
- Hamilton's Ricci Flow (2006) (4)
- On the Ky Fan inequality and related inequalities II (2008) (3)
- Combinatorial Dehn surgery on cubed and Haken 3-manifolds (1999) (3)
- Extendibility and path components of admissible paths for the Dubins problem (2011) (3)
- Do the 3/2+ Baryons Belong to the Representation 10 ofSU3? (1965) (3)
- Optimal curvature and gradient-constrained directional cost paths in 3-space (2015) (3)
- Solving the prize-collecting Euclidean Steiner tree problem (2020) (3)
- A polynomial algorithm for a constrained traveling salesman problem (2001) (3)
- One-sided closed geodesics on surfaces. (1986) (3)
- Counting essential surfaces in 3-manifolds (2020) (3)
- Some of Hyam's Favourite Problems (2013) (2)
- Minimal Curvature-Constrained Paths in the Plane with a Constraint on arcs with Opposite orientations (2013) (2)
- A mathematical model for mineable pushback designs (2021) (2)
- A new family of minimal ideal triangulations of cusped hyperbolic 3-manifolds (2021) (2)
- Corrigendum to "Shifting: One-inclusion mistake bounds and sample compression" [J. Comput. System Sci 75 (1) (2009) 37-59] (2010) (2)
- The Smale Conjecture for lens spaces (2004) (2)
- Nonprofit hospitals and the federal tax exemption: a fresh prescription. (1997) (2)
- Annular-Efficient Triangulations of 3-manifolds (2011) (2)
- Optimal curvature-constrained paths with anisotropic costs in the plane (2011) (2)
- Gradient-Constrained Minimum Networks. III. Fixed Topology (2012) (2)
- Deforming Riemannian metrics on the 2-sphere (1986) (2)
- METHODOLOGY AND THEORY FOR NONNEGATIVE-SCORE PRINCIPAL COMPONENT ANALYSIS (2013) (1)
- Determining the open pit to underground transition: A review of existing methods and a proposed new method (2016) (1)
- A note on the compression theorem for convex surfaces (2000) (1)
- Optimal curvature and gradient-constrained directional cost paths in 3-space (2014) (1)
- Determining the open pit to underground transition: A proposed new method (2015) (1)
- Time delayed discounted Steiner trees to locate two or more discounted Steiner points (2016) (1)
- Bifurcation of positive entire solutions for a semilinear elliptic equation (2008) (1)
- Dehn surgery on the figure 8 knot: Immersed surfaces (1999) (1)
- Minimal prime ideals and compactifications (1972) (1)
- Closed Geodesics on Incomplete Surfaces (2003) (1)
- A model for open-pit pushback design with operational constraints (2021) (1)
- Slope norm and an algorithm to compute the crosscap number (2021) (1)
- Complexity of 3-manifolds obtained by Dehn filling (2022) (1)
- Note on spun normal surfaces in 1-efficient ideal triangulations (2015) (1)
- GENERALIZATIONS OF F. E. BROWDER'S SHARPENED FORM OF THE SCHAUDER FIXED POINT THEOREM (2008) (0)
- A characteristic subgroup and kernels of Brauer characters (2008) (0)
- Essential surfaces and tameness of covers. (1999) (0)
- Similarity invariant semigroups generated by non-Fredholm operators (2008) (0)
- Linear geometries on the Moebius strip: a theorem of Skornyakov type (2008) (0)
- A pr 2 00 2 Period three actions on the three sphere (2002) (0)
- Essential normal and spun normal surfaces in 3-manifolds (2017) (0)
- BAZ volume 37 issue 3 Cover and Front matter (1988) (0)
- Knots & k-width (2008) (0)
- Flat Laguerre planes of Kleinewillinghöfer type E obtained by cut and paste (2008) (0)
- Deforming Riemannian metrics on complex projective spaces (1987) (0)
- Helvetici π 1-injective surfaces in graph manifolds (1998) (0)
- Symmetric cut loci in Riemannian manifolds (1985) (0)
- Elliptic Three-Manifolds and the Smale Conjecture (2012) (0)
- Finite presentability of some metabelian Hopf algebras (2008) (0)
- A strong excision theorem for generalised Tate cohomology (2008) (0)
- Minimum Steiner trees on a set of concyclic points and their center (2021) (0)
- Gradient-constrained discounted Steiner trees I: optimal tree configurations (2015) (0)
- Thin position for incompressible surfaces in 3-manifolds (2015) (0)
- The Method of Cerf and Palais (2012) (0)
- Full Minimal Steiner Trees on Lattice Sets 1 M . Brazil (1997) (0)
- Gradient-constrained discounted Steiner trees II: optimally locating a discounted Steiner point (2015) (0)
- Efficient triangulations and boundary slopes (2020) (0)
- Optimal curvature-constrained paths for general directional-cost functions (2011) (0)
- Demonstrating Efficiency Gains from Installing Truck Turntables at Crushers (2015) (0)
- Topology and geometry in dimension three : triangulations, invariants, and geometric structures : Conference in Honor of William Jaco's 70th Birthday, June 4-6, 2010, Oklahoma State University, Stillwater, Oklahoma (2011) (0)
- Isotopies of the projective plane in 3-manifolds (1977) (0)
- Diffeomorphisms and Embeddings of Manifolds (2012) (0)
- Decomposing Heegaard splittings along separating incompressible surfaces in 3-manifolds (2018) (0)
- Unlabelled Sample Compression Schemes for Intersection-Closed Classes and Extremal Classes (2022) (0)
- OPTIMAL LOCATION OF AN UNDERGROUND CONNECTOR USING DISCOUNTED STEINER TREE THEORY (2020) (0)
- Gradient-Constrained Minimum Networks. III. Fixed Topology (2012) (0)
- Curvature-constrained directional-cost paths in the plane (2011) (0)
- The gradient-constrained Fermat-Weber problem for underground mine design (2005) (0)
- Maximizing the net present value of a Steiner tree (2014) (0)
- Optimal design of an underground mine decline with an associated vent raise (2012) (0)
- Minimal curvature-constrained networks (2018) (0)
- Dehn surgery on cubed and Haken 3 – manifolds IR (2008) (0)
- Immersed flat ribbon knots (2020) (0)
- Geometry and topology down under : a conference in honour of Hyam Rubinstein, 11-22 July 2011, the University of Melbourne, Parkville, Australia (2013) (0)
- A Gradient Descent Method for The Dubins Traveling Salesman Problem (2021) (0)
- Application of graph theory algorithms to detect multiple recirculation paths (2012) (0)
- G T ] 2 1 Fe b 20 08 MAPPING CLASS GROUPS OF HEEGAARD SPLITTINGS (2008) (0)
- G T ] 2 8 O ct 2 01 1 MAPPING CLASS GROUPS OF HEEGAARD SPLITTINGS (2021) (0)
- Elliptic Three-Manifolds Containing One-Sided Klein Bottles (2012) (0)
- The classification of homotopy classes of bounded curvature paths (2016) (0)
- Hyam Rubinstein and optimal networks (2015) (0)
- Parametrised Morse theory for 3-manifolds (2014) (0)
- BAZ volume 33 issue 3 Cover and Front matter (1986) (0)
- S ep 2 00 3 CLOSED GEODESICS ON INCOMPLETE SURFACES (2003) (0)
- Ascending HNN-extensions and properly 3-realisable groups (2008) (0)
- 28 F eb 2 00 9 Coverings and Minimal Triangulations of 3 – Manifolds (2020) (0)
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