List of publications for A J Berrick

• Books
•         Preprints
•                 Published mathematical papers
•                         Other written publications
•                                 Talks

BOOKS
 
• 6. A J Berrick, M C Leung & X Xu (eds): Topology and Geometry - Commemorating SISTAG, Contemporary Math 314, Amer Math Soc (Providence RI, 2002).
• 5. A J Berrick & M E Keating: Categories and Modules, with K-theory in view, Cambridge Studies in Advanced Math 67, Cambridge Univ Press (Cambridge, 2000).
• 4. A J Berrick & M E Keating: An Introduction to Rings and Modules, with K-theory in view,  Cambridge Studies in Advanced Math 65, Cambridge Univ Press (Cambridge, 2000).
• 3. A J Berrick, B Loo & H Wang (eds): Geometry from the Pacific Rim: Procs Pacific Rim Geometry Conf - Singapore 1994 Walter de Gruyter, (Berlin, 1997).
• 2. A J Berrick, T Bier & T B Ng (eds): Procs Singapore Topology Conf 1985, Topology and its Applications 25 (1987), special issue.
• 1. A J Berrick: An Approach to Algebraic K-Theory, Pitman Research Notes in Math 56, (London 1982).

 
PREPRINTS
 
• A J Berrick & J A Hillman: The Whitehead Conjecture and L(2)-Betti numbers, Enseignement Math, to appear.
• A J Berrick & M Matthey: Strongly torsion generated groups from K-theory of real C*-algebras, J K-Theory, to appear.


 
 

PUBLISHED PAPERS
 

• 56. A J Berrick & M Matthey: Homological realization of prescribed abelian groups via K-theory, Math Proc Camb Phil Soc 142 (2007), 249-258.
• 55. A J Berrick, I Chatterji & G Mislin: Homotopy idempotents on manifolds and Bass' conjectures, Proc Nishida Fest (Kinosaki 2003), Geometry & Topology Monographs 10 (2007), 41-62.
• 54. A J Berrick & M-F Lim: Intertwining matrices for number fields: supplement to ''Intertwiners and the K-theory of commutative rings'', J reine angew Math 601 (2006), 159-162.
• 53. A J Berrick, F R Cohen, Y L Wong & J Wu: Configurations, braids, and homotopy groups, J Amer Math Soc 19 (2006), 265-326.
• 52. A J Berrick & M Karoubi: Hermitian K-theory of the integers, Amer J Math 127 (2005), 785-823.
• 51. A J Berrick & Y-L Wong: Acyclic groups and wild arcs, Quarterly J Math Oxford 55 (2004), 421-440.
• 50. A J Berrick, I Chatterji & G Mislin: From acyclic groups to the Bass conjecture for amenable groups, Math Annalen 329 (2004), 597-621.
• 49. A J Berrick: Intertwiners and the K-theory of commutative rings, J reine angew Math 569 (2004), 55-101.
• 48. A J Berrick: Algebraic K-theory and algebraic topology, in Contemporary Developments in Algebraic K-Theory (ed. M Karoubi, A O Kuku, C Pedrini), ICTP Lecture Notes 15, Abdus Salam ICTP (Trieste, 2004), 97-190.
• 47.  A J Berrick & J A Hillman: Perfect and acyclic subgroups of finitely presentable groups, J London Math Soc 68 (2003), 683-698.
• 46. A J Berrick & E Dror Farjoun: Fibrations and nullifications, Israel J Math 135 (2003), 205-220.
• 45. A J Berrick: A topologist's view of perfect and acyclic groups, Invitations to Geometry and Topology, ed M R Bridson, S M Salamon, Oxford Graduate Texts in Math 5, Oxford Univ Press (Oxford, 2002), ch 1: 1-28.
• 44. A J Berrick & A A Davydov: Splitting of Gysin extensions, Algebraic and Geometric Topology 1 (2001), 743-762.
• 43. A J Berrick & P H Kropholler: Groups with infinite homology, Cohomological Methods in Homotopy Theory (Procs BCAT98), Progress in Math 196, Birkhauser (Basel, 2001), 27-33.
• 42. A J Berrick & W G Dwyer: The spaces that define algebraic K-theory, Topology 39 (2000), 225-228.
• 41. A J Berrick: The plus-construction as a localization, Algebraic K-Theory and its Applications: Procs ICTP 1997, World Scientific (Singapore, 1999), 313-336.
• 40. A J Berrick & C Casacuberta: A universal space for plus-contructions, Topology 38 (1999), 467-477.
• 39. A J Berrick & M E Keating: Rectangular invertible matrices, Amer Math Monthly 104 (1997), 297-302.
• 38. A J Berrick, K L Boey & K H Leung: Row versus column operations, J Algebra 184 (1996), 897-911.
• 37. A J Berrick & G C Tan: The minimal extension of P-localization on groups, Math Proc Cambridge Phil Soc 119 (1996), 243-255.
• 36. A J Berrick & M E Keating: The localization sequence in K-theory, K-Theory 9 (1995), 577-589.
• 35. A J Berrick: Groups with no nontrivial linear representations, Bull Austral Math Soc 50 (1994), 1-11; Corrigenda, op cit 52 (1995), 345-346.
• 34. R C Alperin & A J Berrick: Linear representations of binate groups, J Pure Applied Algebra 94 (1994), 17-23.
• 33. A J Berrick & K Varadarajan: Binate towers of groups, Archiv Math 62 (1994), 97-111.
• 32. A J Berrick & P Menal: On the abelianization of GL_2 for rings with stable range 1, Collected Works of Pere Menal Soc Catalana Mat (Barcelona, 1994), 587-606.
• 31. A J Berrick & D J S Robinson: Imperfect groups, J Pure Applied Algebra 88 (1993), 3-22.
• 30. A J Berrick: Homologous fibres and total spaces, Osaka J Math 29 (1992), 339-346.
• 29. A J Berrick & C F Miller III: Strongly torsion generated groups, Math Proc Cambridge Phil Soc 111 (1992), 219-229.
• 28. A J Berrick & C Casacuberta: Groups and spaces with all localizations trivial, Groups and Classifying Spaces - Procs Barcelona Conf Algebraic Topology 1990, Springer Lect Notes in Math 1509 (1992), 20-29.
• 27. P W Lucas, M F Choong, H T W Tan, I M Turner & A J Berrick: The fracture toughness of the leaf of the dicotyledon, Calophyllum inophyllum L. (guttiferae), Phil Trans Royal Soc (Series B) 334 (1991), 95-106.
• 26. A J Berrick: Torsion generators for all abelian groups, J Algebra 139 (1991), 190-194.
• 25. A J Berrick: Remarks on the structure of acyclic groups, Bull London Math Soc 22 (1990), 227-232.
• 24. A J Berrick: Fibrations with Hopfian properties, Israel J Math 66 (1989), 41-53.
• 23. A J Berrick: Universal groups, binate groups and acyclicity, Procs Singapore Group Theory Conf 1987, Walter de Gruyter (Berlin 1989), 253-266.
• 22. A J Berrick & D Randall: On equivariant maps and immersions of real projective spaces, Algebraic Topology Procs Arcata 1986, Springer Lect Notes in Math 1370 (1989), 57-62.
• 21. A J Berrick & B Hartley: Perfect radicals and homology of group extensions, Topology and its Applications 25 (1987), 165-173.
• 20. A J Berrick: Two functors from abelian groups to perfect groups, J Pure Applied Algebra 44 (1987), 35-43.
• 19. A J Berrick: Algebraic K-theory - Workshop notes, Southeast Asian Bull Math 10 (1986), 1-27.
• 18. A J Berrick & M E Keating: K-theory of triangular matrix rings, Applications of Algebraic K-theory to Algebraic Geometry and Number Theory - Proceedings Boulder, Colorado 1983, Contemporary Mathematics 55 (1986), 69-74.
• 17. A J Berrick: Group extensions and their trivialisation, Enseignement Math 31 (1985), 151-172.
• 16. A J Berrick & K H Kamps: Comparison theorems in homotopy theory via operations on homotopy sets, Math Nachrichten 121 (1985), 25-31.
• 15. A J Berrick & R G Downey: Perfect McLain groups are super-perfect, Bull Austral Math Soc 29 (1984), 249-257.
• 14. A J Berrick: Epimorphisms preserving perfect radicals, J Austral Math Soc (Series A) 36 (1984), 357-364.
• 13. A J Berrick: Group epimorphisms preserving perfect radicals, and the plus-construction, Algebraic K-Theory, Number Theory, Geometry and Analysis Proceedings Bielefeld 1982, Springer Lecture Notes in Math 1046 (1984), 1-12.
• 12. A J Berrick: Ex-homotopy comparison theorems, J Singapore Nat Acad Science 10-12 (1983), 52-55.
• 11. A J Berrick: Characterisation of plus-constructive fibrations, Advances in Mathematics 34 (1983), 172-176.
• 10. A J Berrick: The plus-construction and fibrations, Quarterly J Math Oxford (2) 33 (1982), 149-157.
• 9. A J Berrick: Obstructions in K-theory, J London Math Soc 24 (1981), 449-458.
• 8. A J Berrick: Consequences of the Kahn-Priddy theorem in homotopy and geometry, Mathematika 28 (1981), 449-458.
• 7. A J Berrick: Projective space immersions, bilinear maps and stable homotopy groups of spheres, Topology Symp Siegen 1979, Springer Lecture Notes in Math 788 (1980), 1-22.
• 6. A J Berrick: The Smale invariants of an immersed projective space, Math Proc Cambridge Phil Soc 86 (1979), 401-412.
• 5. A J Berrick, S Feder & S Gitler: Symmetric axial maps and embeddings of projective spaces, Bol Soc Mat Mexicana (2) 31 (1976), 29-31.
• 4. A J Berrick: Non-immersion of lens spaces with 2-torsion, Trans Amer Math Soc 224 (1976), 399-406.
• 3. A J Berrick: Induction on symmetric axial maps and embeddings of projective spaces, Proc Amer Math Soc 60 (1976), 276-278.
• 2. A J Berrick: Axial maps with further structure, Proc Amer Math Soc 54 (1976), 413-416.
• 1. A J Berrick: The Samelson ex-product, Quarterly J Math Oxford (2) 27 (1976), 173-180.

OTHER

1. A J Berrick: What do mathematicians do? National Univ Singapore Fac Science Research Newsletter 4 No. 3 (Oct. 1999), 5-7.

• 2006-09-26  Homological realization of groups, via K-theory, Journées à la mémoire de Michel Matthey (25 - 26 September, 2006), University of Neuchâtel, Switzerland.
• 2006-03-16  Intertwining matrices for ideal class groups and K-theory, K-Theory and Related Topics (13 - 16 March, 2006), Academia Sinica, Beijing, PRC.
• 2006-03-13  Fixed points of homotopy idempotent selfmaps of manifolds, Peking University, Beijing, PRC.


Published versions may differ slightly from the links above.


---

Back to the home page of the Department of Mathematics

Back to the home page of A J Berrick

A J Berrick <berrickmath.nus.sg>