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• Author=Hillman JA

1. Hillman JA. $$S^2$$-bundles over 2-orbifolds, Journal of the London Mathematical Society, 87 (2013), 69–86.

2. Hillman JA. Indecomposable $$PD_3$$-complexes, Algebraic and Geometric Topology, 12 (2012), 131–153.

3. Dancer EN, Hillman JA, Pestoia A. Deformation retracts to the fat diagonal and applications to the existence of peak solutions of nonlinear elliptic equations, Pacific Journal of Mathematics, 256 (2012), no. 1, 67–78.

4. Hillman JA. Algebraic Invariants of Links (2nd edition), World Scientific, Singapore, (2012), xiv+353. ISBN 978-981-4407-38-0

5. Budney R, Burton BA, Hillman JA. Triangulating a Cappell-Shaneson knot complement, Mathematical Research Letters, 19 (2012), no. 5, 1117–1126.

6. Hillman JA. the linking pairings of orientable Seifert manifolds, Topology and its Applications, 158 (2011), 468–478.

7. Hillman JA. Alexander polynomials of ribbon links, Journal of Knot Theory and its Ramifications, 20 (2011), 327–331.

8. Hillman JA, Roushon SK. Surgery on $$\widetilde{\mathbb{SL}}\times\mathbb{E}^n$$-manifolds, Canadian Mathematical Bulletin, 54 (2011), 283–287.

9. Hillman JA. 2-Knots with solvable groups, Journal of Knot Theory and its Ramifications, 20 (2011), no. 7, 977–994.

10. Hillman JA. Geometric decompositions of 4-dimensional orbifold bundles, Journal of the Mathematical Society of Japan, 63 (2011), 871–886.

11. Hillman JA, Silver DS, Williams SG. On reciprocality of twisted Alexander invariants, Algebraic and Geometric Topology, 10 (2010), 1017–1026. MR2629774

12. Bridson MR, Groves G, Hillman JA, Martin GJ. Cofinitely hopfian groups, open mappings and knot complements, Groups, Geometry and Dynamics, 4 (2010), 693–707.

13. Hillman JA. Strongly minimal $$PD_4$$-complexes, Topology and its Applications, 156 (2009), 1565–1577. MR2512608

14. Hillman JA. Embedding 3-manifolds with circle actions, Proceedings of the American Mathematical Society, 137 (2009), no. 12, 4287–4294. MR2538589

15. Hillman JA. Finitely dominated covering spaces of 3- and 4-manifolds, Journal of the Australian Mathematical Society, 84 (2008), 99–108. MR2469270

16. Berrick AJ, Hillman JA. The Whitehead conjecture and $$L^2$$-Betti numbers, Guido's Book of Conjectures, Monographies de L'Enseignement Mathématique, L'Enseignement Mathé matique, (2008), 35–37.

17. Hillman JA, Schmidt A. Pro-$$p$$ groups with positive deficiency, Bulletin of the London Mathematical Society, 40 (2008), 1065–1069. MR2471955

18. Hillman JA. Knot groups and slice conditions, Journal of Knot Theory and its Ramifications, 17 (2008), 1511–1517. MR2477590

19. Hillman JA. Hermitian pairings and isolated singularities, Real and Complex Singularities – Proceedings of the Australian-Japanese Workshop, Australian-Japanese Workshop on Real and Complex Singularities, L.Paunescu, A.Harris, T.Fukui and S.Koike (eds.), World Scientific, Singapore, (2007), 46–55. ISBN 978-981-270-551-8 MR2336681

20. Hillman JA, Kochloukova DH. Finiteness conditions and $$PD_r$$-group covers of $$PD_n$$-complexes, Mathematische Zeitschrift, 256 (2007), 45 – 56. MR2282258

21. Hillman JA. On 4-manifolds with zero-entropy metrics, Bulletin of the London Mathematical Society, 39 (2007), 327–328. MR2323466

22. Hillman JA. Geometries and infrasolvmanifolds in dimension 4, Geom Dedicata, 129 (2007), 57–72. MR2353982

23. Hillman JA. Centralizers and normalizers of subgroups of $$PD_3$$-groups and open $$PD_3$$-groups, Journal of Pure and Applied Algebra, 204 (2006), 244–257. MR2184809

24. Hillman JA, Livingston C, Naik S. Twisted Alexander polynomials of periodic knots, Algebraic and Geometric Topology, 6 (2006), 145–169. MR2199457

25. Hillman JA. $$PD_4$$-complexes with strongly minimal models, Topology and its Applications, 153 (2006), no. 14, 2413–2424. MR2243720

26. Hillman JA, Matei D, Morishita M. Pro-$$p$$ link groups and $$p$$-homology groups, Primes and Knots, Primes and Knots, T. Kohno and M. Morisita (eds.), Contemporary Mathematics, American Mathematical Society, Providence, R.I., (2006), 121–136. MR2276139

27. Hillman JA. An indecomposable $$PD_3$$-complex whose fundamental group has infinitely many ends, Mathematical Proceedings of the Cambridge Philosophical Society, 138 (2005), 55–57. MR2127227

28. Hillman JA. Singularities of plane algebraic curves, Expositiones Mathematicae, 23 (2005), 233–254. MR2164776

29. Hillman JA. $$PD_4$$-complexes with fundamental group a $$PD_2$$-group, Topology and its Applications, 142 (2004), 49–60. MR2071292

30. Hillman JA. An indecomposable $$PD_3$$-complex: II, Algebraic and Geometric Topology, 4 (2004), 1103–1109. MR2113897

31. Hillman JA. Homomorphisms of nonzero degree between $$PD_n$$-groups, Journal of the Australian Mathematical Society, 77 (2004), 335–348. MR2099805

32. Hong SH, Eades P, Hillman JA. Linkless symmetric drawings of series parallel digraphs, Computational Geometry, 29 (2004), 191–221. MR2095374

33. Hillman JA. $$PD_4$$-complexes with free fundamental group, Hiroshima Mathematical Journal, 34 (2004), 295–306. MR2120518

34. Hillman JA. Tits alternatives and low dimensional topology, Journal of the Mathematical Society of Japan, 55 (2003), 365–383. MR1961291

35. Berrick AJ, Hillman JA. Perfect and acyclic subgroups of finitely presentable groups, Journal of the London Mathematical Society, 68 (2003), 683–698. MR2009444

36. Hillman JA. Deficiencies of lattices in connected Lie groups, Bulletin of the Australian Mathematical Society, 65 (2002), 393–397. 2003d:22008

37. Hillman JA. Algebraic Invariants of Links, Knots and Everything, World Scientific, Singapore, 32 (2002), xii+305. ISBN 981-238-154-6 2003k:57014

38. Hillman JA. Four-Manifolds, Geometries and Knots, Geometry and Topology Monographs, Geometry and Topology Publications, Mathematics Institute, University of Warwick, 5 (2002), xiv+379. 2003m:57047

39. Hillman JA. On 4-dimensional mapping tori, Topology and Geometry: Commemorating SISTAG, Sigapore International Symposium on Topology and Geometry, A.J.Berrick, Man Chun Leung, Xingwang Xu (eds.), Contemporary Mathematics, American Mathematical Society, Providence, R.I., (2002), 97–105. ISBN 0-8218-2820-7 2003i:57036

40. Hillman JA. An homology 4-sphere group with negative deficiency, L'Enseignement Mathématique. Revue Internationale. IIe Série, 48 (2002), 259–262. 2003m:57046

41. Hillman JA. Complex surfaces which are fibre bundles, Topology and its Applications, 100 (2000), 187–191. 2000i:32031

42. Hillman JA. Applications of $$L^2$$-Betti numbers to low dimensional topology, Atti Seminario Matematico e Fisico dell'Universita di Modena, 48 (2000), 259–272. 2001g:57056

43. Hillman JA. Virtual surface bundle groups, Bulletin of the Australian Mathematical Society, 62 (2000), 353–356. 2001i:57029

44. Hillman JA. Optimal presentations for solvable 2-knot groups, Bulletin of the Australian Mathematical Society, 57 (1998), 129–133. 99d:57017

45. Crisp JS, Hillman JA. Embedding Seifert fibred 3-manifolds and Sol$${}^3$$-manifolds in 4-space, Proceedings of the London Mathematical Society, 76 (1998), 685–710. 99g:57027

46. Hillman JA. On 4-manifolds which admit geometric decompositions, Journal of the Mathematical Society of Japan, 50 (1998), 415–431. 99c:57050

47. Hillman JA, Kearton C. Simple 4-knots, Journal of Knot Theory and its Ramifications, 7 (1998), 907–923. 99k:57053

48. Hillman JA. On 4-dimensional mapping tori and product geometries, Journal of the London Mathematical Society, 58 (1998), 229–238. 2000a:57049

49. Hillman JA. On the homotopy types of closed 4-manifolds covered by $$S^2\times \mathbb{R}^2$$, Topology and its Applications, 75 (1997), 287–295. 98a:57032

50. Dimca A, Hillman JA, Paunescu L. On hypersurfaces in real projective spaces, Far Eastern Journal of Mathematical Sciences, 5 (1997), 159–168. 97k:57035

51. Hillman JA, Kearton C. Algebraic invariants of simple 4-knots, Journal of Knot Theory and its Ramifications, 6 (1997), 307–318. 99b:57047

52. Hillman JA. On $$L^2$$-homology and asphericity, Israel Journal of Mathematics, 99 (1997), 271–283. 98f:57035

53. Hillman JA, Sakuma M. On the homology of finite abelian coverings of links, Canadian Mathematical Bulletin, 40 (1997), 309–315. 98i:57010

54. Hillman JA, Jeffries BRF, Ricker WJ, Straub B. Differential properties of the numerical range map of pairs of matrices, Linear Algebra and its Applications, 267 (1997), 317–334. 98h:15050

55. Cobb RJ, Hillman JA. $$S^2$$ bundles over aspherical closed surfaces are geometric, Proceedings of the American Mathematical Society, 125 (1997), 3415–3422. 98d:57021

56. Hillman JA. Embedding homology equivalent 3-manifolds in 4-space, Mathematische Zeitschrift, 223 (1996), 473–481. 97h:57044

57. Hillman JA. Free products and 4-dimensional connected sums, The Bulletin of the London Mathematical Society, 27 (1995), 387–391. 96h:57017

58. Hillman JA. On the splitting field of the Alexander polynomial of a periodic knot, Bulletin of the Australian Mathematical Society, 52 (1995), 313–315. 97c:57007

59. Hillman JA. Flat 4-manifold groups, New Zealand Journal of Mathematics, 24 (1995), 29–40. 96f:57019

60. Hillman JA, Kawauchi A. Unknotting orientable surfaces in the 4-sphere, Journal of Knot Theory and its Ramifications, 4 (1995), 213–224. 96g:57022

61. Hillman JA. The Algebraic characterization of Geometric 4-Manifolds, London Mathematical Society Lecture Series, Cambridge University Press, Cambridge, 198 (1994), 282. ISBN 0 521 40117 8 95m:57032

62. Hillman JA. Minimal 4-manifolds for groups of cohomological dimension 2, Proceedings of the Edinburgh Mathematical Society. Series II, 37 (1994), 455–461. 95g:57034

63. Hillman JA. On 4-manifolds with finitely dominated covering spaces, Proceedings of the American Mathematical Society, 121 (1994), 619–626. 94h:57032

64. Hillman JA. A remark on branched cyclic covers, Journal of Pure and Applied Algebra, 87 (1993), 237–240. 94f:57001

65. Farber MS, Hillman JA. Doubly null concordant knots have hyperbolic stable isometry structures, Journal of Knot Theory and its Ramifications, 2 (1993), 125–140. 94i:57038

66. Hillman JA. On 4-manifolds with universal covering space a compact geometric manifold, Journal of the Australian Mathematical Society. A, 55 (1993), no. 2, 137–148. 94i:57031

67. Hillman JA. On 4-manifolds with universal covering space $$S^2\times \mathbb{R}^2$$ or $$S^3\times \mathbb{R}$$, Topology and its Applications, 52 (1993), 23–42. 95b:57020

68. Hillman JA. On 3-dimensional Poincaré duality complexes and 2-knot groups, Mathematical Proceedings of the Cambridge Philosophical Society, 114 (1993), 215–218. 94h:57037

69. Hillman JA. Geometries on 4-manifolds, Euler characteristic and elementary amenable groups, Proceedings of an International Conference on Knots, International conference on Knot Theory Related Topics, Osaka, Japan, August 15–19 1990, de Gruyter, New York, (1992), 25–46. 94b:57022

70. Hillman JA, Linnell PA. Elementary amenable groups of finite Hirsch length are locally-finite by virtually-solvable, Journal of the Australian Mathematical Society, 52 (1992), 237–241. 93b:20067

71. Bieri R, Hillman JA. Subnormal subgroups of 3-dimensional Poincaré duality groups, Mathematische Zeitschrift, 206 (1991), 67–69. 92e:57002

72. Hillman JA. Elementary amenable groups and 4-manifolds with Euler characteristic 0, Journal of the Australian Mathematical Society, 50 (1991), 160–170. 92g:20057

73. Hillman JA. On 4-manifolds homotopy equivalent to surface bundles over surfaces, Topology and its Applications, 40 (1991), 275–286. 92g:57031

74. Hillman JA. On 4-manifolds homotopy equivalent to circle bundles over 3-manifolds, Israel Journal of Mathematics, 75 (1991), 277–287. 93m:57022

75. Hillman JA, Plotnick SP. Geometrically fibred 2-knots, Mathematische Annalen, 287 (1990), 259–273. 91g:57023

76. Hillman JA. 2-knots and their Groups, Australian Mathematical Society Lecture Series, Cambridge University Press, 5 (1989), 90d:57025

77. Hillman JA, Kearton C. Stable isometry structures and the factorization of $$\Q$$-acyclic stable knots, Journal of the London Mathematical Society, 39 (1989), 175–182. 90h:57026

78. Hillman JA. The algebraic characterization of the exteriors of certain two-knots, Inventiones Mathematicae, 97 (1989), 195–207. 90d:57026

79. Hillman JA. A homotopy fibration theorem in dimension 4, Topology and its Applications, 33 (1989), 151–161. 90k:57023

80. Hillman JA, Wilson SMJ. On the reflexivity of Cappell Shaneson 2-knots, The Bulletin of the London Mathematical Society, 21 (1989), 591–593. 90k:57028

81. Hillman JA. Two-knot groups with torsion free abelian normal subgroups of rank two, Commentarii Mathematici Helvetici, 63 (1988), 664–671. 90a:57033

82. Hillman JA, Kearton C. Seifert matrices and 6-knots, Transactions of the American Mathematical Society, 309 (1988), 843–857. 89j:57015

83. Hillman JA. The kernel of integral cup product, Journal of the Australian Mathematical Society, 43 (1987), 10–15. 88f:20066

84. Datta B, Hillman JA, Nag S. Characterization theorems for compact hypercomplex manifolds, Journal of the Australian Mathematical Society, 43 (1987), 231–245. 88j:32038

85. Hillman JA. 3-Dimensional Poincaré duality groups which are extensions, Mathematische Zeitschrift, 195 (1987), 89–92. 88m:57022

86. Hillman JA. On metabelian two-knot groups, Proceedings of the American Mathematical Society, 96 (1986), 372–374. 87f:57023

87. Hillman JA. Knot modules and the elementary divisor theorem, Journal of Pure and Applied Algebra, 40 (1986), 115–124. 87i:57019

88. Hillman JA. Abelian normal subgroups of two-knot groups, Commentarii Mathematici Helvetici, 61 (1986), 122–148. 87m:57023

89. Hillman JA. Finite simple even-dimensional knots, Journal of the London Mathematical Society, 34 (1986), 369–374. 88d:57003

90. Hillman JA. Symmetries of knots and links, and invariants of abelian coverings, I, Kobe Journal of Mathematics, 3 (1986), 7–27. 88f:57005

91. Hillman JA. Symmetries of knots and links, and invariants of abelian coverings, II, Kobe Journal of Mathematics, 3 (1986), 149–165. 88f:57005

92. Hillman JA. Topological concordance and $$F$$-isotopy, Mathematical Proceedings of the Cambridge Philosophical Society, 98 (1985), 107–110. 86i:57008

93. Hillman JA. The kernel of the cup product, Bulletin of the Australian Mathematical Society, 32 (1985), 261–274. 87b:20067

94. Hillman JA. Seifert fibre spaces and Poincaré duality groups, Mathematische Zeitschrift, 190 (1985), 365–369. 87d:57002

95. Hillman JA. Polynomials determining Dedekind domains, Bulletin of the Australian Mathematical Society, 29 (1984), 167–175. 85h:13013

96. Hillman JA. Links with infinitely many semifree periods are trivial, Archiv der Mathematik (Basel), 42 (1984), 568–572. 86a:57003

97. Hillman JA. Simple locally flat 3-knots, The Bulletin of the London Mathematical Society, 16 (1984), 599–602. 86a:57019

98. Hillman JA. Factorization of Kojima knots and hyperbolic concordance of Levine pairings, Houston Journal of Mathematics, 10 (1984), 187–194. 86i:57024

99. Hillman JA. Aspherical four manifolds and the centres of two-knot groups, Commentarii Mathematici Helvetici, 58 (1983), 166. 84d:57011

100. Hillman JA. On the Alexander polynomial of a cyclically periodic knot, Proceedings of the American Mathematical Society, 89 (1983), 155–156. 85b:57005

101. Hillman JA. Alexander polynomials, annihilator ideals and the Steinitz-Fox-Smythe invariant, Proceedings of the London Mathematical Society, 45 (1982), 31–48. 84a:57002

102. Hillman JA. Alexander Ideals of Links, Lecture Notes in Mathematics, Springer Verlag, 895 (1981), MR0653808

103. Hillman JA. A link with Alexander module free which is not an homology boundary link, Journal of Pure and Applied Algebra, 20 (1981), 1–5. 82d:57001

104. Hillman JA. Blanchfield pairings with squarefree Alexander polynomial, Mathematische Zeitschrift, 176 (1981), 551–563. 82i:57025

105. Hillman JA. The Torres conditions are insufficient, Mathematical Proceedings of the Cambridge Philosophical Society, 89 (1981), 19–22. 82j:57003

106. Hillman JA. New proofs of two theorems on periodic knots, Archiv der Mathematik (Basel), 37 (1981), 457–461. 83b:57003

107. Hillman JA. Finite knot modules and the factorization of certain simple groups, Mathematische Annalen, 257 (1981), 261–274. 83c:57009

108. Hillman JA. Aspherical four manifolds and the centres of two-knot groups, Commentarii Mathematici Helvetici, 56 (1981), 465–478. 83d:57017

109. Hillman JA, Bayer E, Kearton C. The factorization of simple knots, Mathematical Proceedings of the Cambridge Philosophical Society, 90 (1981), 495–506. 83e:57005

110. Hillman JA. Trivializing ribbon links by Kirby moves, Bulletin of the Australian Mathematical Society, 21 (1980), 21–28. 80d:57005

111. Hillman JA. Orientability, asphericity and two-knots, Houston Journal of Mathematics, 6 (1980), 67–76. 81f:57017

112. Hillman JA. Spanning links by non-orientable surfaces, The Quarterly Journal of Mathematics. Oxford. Second Series, 31 (1980), 169–179. 81f:57002

113. Hillman JA. Alexander ideals and Chen groups, The Bulletin of the London Mathematical Society, 10 (1978), 105–110. 57:17621

114. Hillman JA. Longitudes of a link and principality of an Alexander ideal, Proceedings of the American Mathematical Society, 72 (1978), 370–374. 80c:57006

115. Hillman JA. A non homology boundary link with zero Alexander polynomial, Bulletin of the Australian Mathematical Society, 16 (1977), 229–236. 56:12300

116. Hillman JA. High dimensional knot groups which are not two-knot groups, Bulletin of the Australian Mathematical Society, 16 (1977), 449–462. 58:31098

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