Selected publications

Books

  1. A. Szczepanski, (in Polish) Wprowadzenie do teorii grup krystalograficznych, Wydawnictwo Uniwersytetu Gdanskiego 2007 PDF file
  2. A. Szczepanski, Geometry of crystallographic groups, Vol. 4, Series Algebra and Discrete Mathematics, World Scientific 2012 PDF file
  3. (in Polish) Matematyka na Pomorzu Gdanskim 1945 - 2015 pod redakcja E. Jakimowicz & A. Szczepanskiego, Wydawnictwo Uniwersytetu Gdanskiego, Gdansk 2017
  4. Andrzej Jankowski Memorial Lectures Gdańsk 1999-2018 Edited and with an Introduction by Andrzej Szczepański, Gdańsk University Press 2020, Link

Articles

  1. R. Lutowski, A. Szczepanski, R. ,Weidmann, Automorphism groups of combinatorial Hantzsche-Wendt groups, submitted PDFfile
  2. R. Lutowski, A. Szczepanski, Minimal non-solvable Bieberbach groups, submitted PDF File
  3. J. Popko, A. Szczepanski, Properties of the combinatorial Hantzsche-Wendt groups, Topology and its applications, 310, (2022) article 108037 PDF File
  4. R. Lutowski, J. Popko, A. Szczepanski, Spin^C structures on Hantzsche-Wendt manifolds J. Geom. Phys. 171 (2022) PDF File
  5. A. Gąsior, A. Szczepanski, Examples of non connective C*-algebras, Ann. Univ. Paedagog Cracoviensis, Studia Mathematica 20, (2021), 57-61 PDF File
  6. G. Hiss, R. Lutowski, A. Szczepanski, Flat manifolds with holonomy representation of quaternionic type, Comm. Algebra, 49(3), (2021), 1286-1294 PDF file
  7. R. Lutowski, N. Petrosyan, J. Popko, A. Szczepanski, Spin structures of flat manifolds of diagonal type, Homology, Homotopy and Applications, 21(2), (2019), 333-344PDF file
  8. A. Szczepanski, Intersection forms of almost-flat 4-manifolds, Archiv der Mathematik 110 (2018), 455-458 PDF file
  9. R. Lutowski, N. Petrosyan, A. Szczepanski, Classification of Spin structures on 4-dimensional almost-flat manifolds, Mathematika 64 (2018), 253 - 266 PDF file
  10. R. Lutowski, A. Szczepanski, Crystallographic groups with trivial center and outer automorphism group, Math. Proc. Cambridge Philos. Soc. 164 (2) (2018), 363 - 368 PDF file
  11. A. Gasior, R. Lutowski, A. Szczepanski, A short note about diffuse Bieberbach groups, J. Algebra 494 (2018), 237 - 245 PDF file
  12. J. Popko, A. Szczepanski, Cohomological rigidity of oriented Hantzsche-Wendt manifolds, Advances in Math., 302 (2016), 1044 - 1068 PDF file
  13. A. Gasior, N. Petrosyan, A. Szczepanski, Spin structures on almost-flat manifolds - Algebr. Geom. Topol., 16 No. 2 (2016), 783-796 PDF file
  14. A. Gasior, A. Szczepanski, Flat manifolds with holonomy group Z_2^k of diagonal type - Osaka J. Math., 51 No. 4 (2014), 1015-1027 PDF file
  15. R. Lutowski, A. Szczepanski, Holonomy groups of flat manifolds with R_{\infty} property - Fund. Mathematicae, 223 (2013), 195-205 PDF file
  16. A. Gasior, A. Szczepanski, Tangent bundles of Hantzsche-Wendt manifolds - J. Geom. and Physics, 70 (2013), 123-129 PDF file
  17. A. Szczepanski, Eta invariants for flat manifolds - Annal. Global Anal. Geom., 41 (2) (2012), 125-138 PDF file
  18. B. Putrycz, A. Szczepanski, Existence of spin structures on flat four - manifolds, Adv. in Geometry, 10 (2) (2010), 323-332 PDF file
  19. U. Rehmann, A. Szczepanski, A commemorative plate for Wilhelm Killing and Karl Weierstrass The Math.Intelligencer, 32, No.1, (2010), 49-52 PDF file
    (German version Enthullung einer Erinnerungstafel zu Ehren von Wilhelm Killing und Karl Weierstrass in Braniewo , Mitteilungen der DMV,18 (1), 2010, 50-52), PDF file)
  20. A. Szczepanski, Properties of Generalized Hantzsche-Wendt groups J. Group Theory, 12 (2009), 761-769 PDF file
  21. K. Dekimpe, M. Halenda, A. Szczepanski, Kahler flat manifolds J. Mathem. Soc. of Japan, 61 (2) (2009), 363-377 PDF file
  22. I. Belegradek, A. Szczepanski. (with Appendix by Oleg V. Belegradek) Endomorphisms of relatively hyperbolic groups. Int. Journal Algebra and Computation, 18 (1) (2008), 97-110
  23. G. Hiss, A. Szczepanski. Spin structures on flat manifolds with cyclic holonomy Communication in Algebra, 36 (1) (2008), 11-22 (Corrigendum - Comm. in Algebra, 39 (7) (2011), 2659-2659) PDF file Corrigendum
  24. A. Szczepanski. Problems on Bieberbach groups and flat manifolds. Geometriae Dedicata 120 (2006), 111-118 PDF file
  25. K. Dekimpe, M. Sadowski, A. Szczepanski, Spin structures on flat manifolds. Monatshefte fur Mathematik 148 (2006), 283-296 PDF file PS file
  26. M. Sadowski, A. Szczepanski, Flat manifolds, harmonic spinors and \eta invariants. Adv. in Geometry 6 (2006), no.2, 287-300 PDF file
  27. J. P. Rossetti, A. Szczepanski, Generalized Hantzsche-Wendt flat manifolds. Revista Matem. Iberoam. 21 (2005), no.3, 1053-1070 PDF file
  28. A. Szczepanski, Holonomy groups of crystallographic groups with finite outer automorphism groups. Group Theory and Low-Dimensional Topology,German- Korean Workshop, Pusan 2000,( J.Mennicke, Jung Rae Cho (eds.)) in Research and Exposition in Mathematics, Vol. 27 (2003), 163-166PDF file
  29. W. Malfait, A. Szczepanski, The structure of the (outer) automorphism group of a Bieberbach group. Compositio Mathem., 136 (1), (2003), 89-101
  30. A. Szczepanski, Examples of Relatively Hyperbolic Groups. Geom. Dedicata, 93, (2002), 139-142
  31. A. Szczepanski, A. Vesnin HNN extension of cyclically presented groups. J. Knot Th. and Ram. , 10 (8), (2001), 1269-1281
  32. A. Szczepanski, The euclidean representations of the Fibonacci groups. Quart. J. Mathem. Oxford (2), 52, (2001), 385-389
  33. K.B. Lee, A. Szczepanski Maximal holonomy of Almost Bieberbach groups for Heis 5. Geom. Dedicata, 87, (2001), 167-180
  34. A. Szczepanski, A. Vesnin Generalized Neuwirth Groups and Seifert Fibered manifolds. Algebra Colloquium, 7, (3), (2000), 295-303. PDF file
  35. A. Szczepanski, A. Vesnin, On Generalized Fibonacci Groups with an odd number of generators. Communications in Algebra, 28 (2),(2000) 959-965
  36. A. Szczepanski, A. Vesnin, High dimensional knots corresponding to the Fractional Fibonacci groups.Fund. Math. 161 (1999), 235-240. PDF file
  37. A. Szczepanski, Relatively hyperbolic groups.Michigan Math. J. 45 (1998), 611-618.
  38. A. Szczepanski, High dimensional knot groups and HNN extensions of the Fibonacci groups. J.Knot Th. and Ram. 7, (1998), 503-508. PDF file
  39. W. Malfait, A. Szczepanski, Almost-Bieberbach groups with (in)finite outer automorphism group. Glasgow Math. J., 40 (1998), 47-62.
  40. G. Hiss, A. Szczepanski, Flat manifolds with only finitely many affinities. Bull. Ac. Pol.; Math., 45 (1997), 349-357. PDF file
  41. A. Szczepanski, Decomposition of flat manifolds. Mathematika 44 (1997), 113-119.
  42. A. Szczepanski, Outer Automorphism groups of Bieberbach groups. Bull.Belgium Math. Soc.(Simon Stevin) 3 (1996), 585-593.
  43. A. Szczepanski, Holonomy groups of five dimensional Bieberbach groups. Manuscripta Mathematica 90 (1996), 383-389.
  44. G. Hiss, A. Szczepanski, Holonomy groups of Bieberbach groups with finite outer automorphism groups. Archiv der Mathematik 65 (1995), 8-14.
  45. A. Szczepanski, About the Possibility of Aplication of Relative Hyperbolization of Polyhedra. Math. Nachrichten 172 (1995), 283-290.
  46. G. Hiss, A. Szczepanski, On torsion Free Crystallographic Groups. J. Pure and Appl. of Algebra 74 (1991), 39-56. PDF file
  47. A. Szczepanski, Five dimensional Bieberbach groups with trivial center. Manuscripta Mathematica 68 (1990), 191-208.
  48. Z. Marciniak, A. Szczepanski, Flat manifolds and p-groups. Vortrage des Internationalen Hermann-Weyl-Kongresses, Kiel 1985; Verlag Peter Lang GMBH ,Frankfurt am Main , 1988 529-535.
  49. H. Hiller, Z. Marciniak, C.H. Sah, A. Szczepanski, Holonomy of flat manifolds with b1 = 0 II. Quart.J.Math. Oxford (2), 38 (1987), 213-220.
  50. A. Szczepanski, Existence of compact flat Riemannian manifolds with the first Betti number equal to zero. Transformation Groups, Poznan 1985. Lecture Notes in Mathematics 1217; Springer, Berlin 113 (1986), 391-393.
  51. A. Szczepanski, Euclidean space forms with the first Betti number equal to zero. Quart.J.Math. Oxford (2), 36 (1985), 489-493.
  52. A. Szczepanski, Aspherical manifolds with the Q-homology of a sphere. Mathematika 30 (1983), 291-294.

My Recent Lectures

  • Introduction to flat manifolds, 3 lectures, Sao Paulo University, Sao Paulo, Brazil, May - 2018
  • Symmetries of flat manifolds, (Kiel - November 15, 2017) PDF file
  • Introduction to flat manifolds, (Novosibirsk - September 21, 2016) PDF file
  • Hantzsche-Wendt manifolds, (Moscow, HSE - September 16, 2016) PDF file
  • Symmetries of crystallographic groups, (IHES - February 9, 2016) PDF file
  • Symmetries of crystallographic groups, (G. Hiss - Birthday Conference) Colloquium on Algorithms and Representations, Aachen, July 27-28, 2015 PDF file
  • Outer automorphism group of crystalographic groups with trivial centre, (Univ.of Chicago, 10.03.2015; Salt Lake City, 12.03.2015 ) PDF file
  • Spin and Spin^C structures on flat manifolds, (Krakow UJ, 11.03.2014; RWTH Aachen, 16.04.2014 )PDF file

Other

  • A. Szczepanski, (in Polish) Wspomnienia asystenta, Pismo Politechniki Gdanskiej, Wydanie specjalne-2005,31-33 doc
  • A. Szczepanski, (in Polish) Ateny - Jerozolima PDF file