Anthony Bak

Professor of Mathematics

Contact Address

Department of Mathematics
University of Bielefeld
P. O. Box 100131
33501 Bielefeld
GERMANY

Office: V5-230
+49 521 106-5023
+49 521 106-89025 (Fax.)
bak@mathematik.uni-bielefeld.de


Editorial


Recent Publications and Preprints

  1. (with A. S. Garge) Global actions, K-Theory and unimodular rows, (2013) pdf
  2. (with Y. V. Muranov) Surgery on a pair of transversal manifolds, J. Homotopy Relat. Struct. 7:2 (2012), 255 - 279. pdf
  3. (with R. Basu, R. A. Rao) Local-Global Principle for Transvection Groups, Proc. AMS 138:4 (2010),1191 - 1204. pdf
  4. (with R. Hazrat, N. Vavilov) Localization-Completion Strikes again: Relative K_1 is nilpotent by abelian, J. Pure Appl. Algebra 213:6 (2009), 1075 - 1085 pdf.
  5. (with Y. V. Muranov) Splitting a simple homotopy equivalence along a submanifold with filtration 199:6 (2008), 1 - 23. pdf
  6. (with G. Donadze, N. Inassaridze, M. Ladra) Homology of multiplicative Lie rings, J. Pure & Appl. Alg., 208 (2007), 761 - 777. pdf
  7. Global Actions and Related Objects: Foundations , preprint 2006 dvi, ps, pdf.
  8. (with R. Brown, G. Minian, T. Porter) Global actions, Groupoid Atlases and Applications, dedicated to the memory of Saunders MacLane (1909-2005), J. Homotopy & Rel. Structures, 1 (2006), 1 - 54. ps, pdf .
  9. (with Y. V. Muranov) Normal invariants of manifold pairs and assembly maps, Mat. Sbornik 197 (2006), 3 - 24. dvi ps pdf
  10. (with Y. Muranov) Splitting along submanifolds and L-spectra, J. Math. Sci., 123 (4), (2004), 4169 - 4184. pdf.
  11. (with G. Tang) Solution to the Presention Problem for Powers of the Augmentation Ideal of Torsion Free and Torsion Abelian Groups, Adv. Math. 189 , (2004) 1-37 dvi , ps, pdf.
  12. (with M. Morimoto) The dimension of spheres with smooth one fixed point actions, Forum Math 17 : 2 (2004), 199-216 dvi, ps, pdf.
  13. (with V. Petrov, G. Tang) Stability for Quadratic K_1, K-Theory, K-Theory, 29 , (2003), 1-11. dvi , ps, pdf
  14. (with M. Morimoto, F. Ushitaki) Topics in Transformation Groups, K-Monographs in Mathematics 7 (2002), Kluwer Academic Publ.
  15. Dimension theory and group valued functors, preprint 2001 dvi, ps, pdf.
  16. (with A. Stepanov) Dimension theory and nonstable K-theory for net groups, Rendiconti Sem. Mat., 106 (2001), 207-253. dvi, ps, pdf.
  17. (with N. A. Vavilov)Presenting powers of augmentation ideals and Pfister forms , K-Theory 20 (2000), 299 - 310. dvi, ps, pdf
  18. (with N. A. Vavilov)Structure of hyperbolic unitary groups I, Elementary subgroups, Alg. Colloquium 7 :2 (2000), 159-196. pdf.
  19. (with G. Tang)Stability for Hermitian K_1, J. Pure Appl. Alg. 150 (2000), 107-121. dvi, ps, pdf.
  20. (with G. Tang) Multiplicative Spectra for Rings and Automorphism Groups of Modules and Hermitian Forms, preprint dvi, ps, pdf.
  21. Topological Methods in Algebra, in Rings, Hopf Algebras and Brauer Groups (Ed. S. Canepeel, A. Verschoren) Lec. Notes in Pure and Appl. Math. 197 (1998), pp.43-54 dvi, ps, pdf.
  22. Global Actions: The Algebraic Counterpart of a Topological Space, invited paper for the 100'th anniversary of P.S. Alexandroff, Uspekhi Mat. Nauk 52 :5 (1997), 71-112, English translation: Russian Math. Surveys 52 :5 (1997), 955-996 dvi, ps, pdf.
  23. (with C. Weibel) A tribute to Robert Thomason, K-Theory 12 (1997), 1-2
  24. Lectures on dimension theory, group valued functors and nonstable K-theory, Buenos Aires (1996)
  25. (with M. Morimoto) Equivariant Surgery with Middle-Dimensional Singular Sets. I, Forum Math 8 (1996), 267 - 302 dvi, ps, pdf.
  26. (with M. Morimoto) Equivariant Intersection Theory and Surgery Theory for Manifolds with Middle Dimensional Singular Sets, (), dvi, ps, pdf.
  27. Induction for Finite Groups Revisited, J. Pure App. Alg. 104 (1995), 235-241. dvi, ps, pdf.
  28. (with N. Vavilov) Normality for elementary subgroup functors, Math. Proc. Camb. Phil. Soc. 118 (1995), 35-47 dvi ps pdf
  29. (with M. Morimoto) K-theoretic groups with positioning maps and equivariant surgery, Proc. Japan Academy 70 (Ser. A) (1994), 6-11
  30. (with M. Morimoto) Cancellation over Rings of Dimension < 2, Bull. Soc. Math. Bel. (Ser. A) 45 (1993), 29 - 37. dvi, ps, pdf.
  31. (with M. Morimoto) Equivariant Surgery and Applications, Proc. Conf. Topology in Hawaii (ed. K. H. Doverman), pp. 13-25. World Scientific Publ., Singapore (1992)
  32. Nonabelian K-theory: The nilpotent class of K_1 and general stability, K-Theory 4 (1991), 363-397 pdf.
  33. K-Theory of forms, Ann. of Math. Stud. 98 (1982), Princeton Univ. Press, Princeton, N. J.
  34. ARF'S Theorem for trace Noetherian and other rings, J. Pure \& Appl. Algebra 14 No. 1 (1979), 1 - 20. pdf.

INTAS 2001


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