Selected publications
Books
- A. Szczepanski, (in Polish) Wprowadzenie do teorii grup krystalograficznych, Wydawnictwo
Uniwersytetu Gdanskiego 2007
PDF file
- A. Szczepanski, Geometry of crystallographic groups, Vol. 4, Series Algebra and Discrete Mathematics, World Scientific 2012
PDF file
- (in Polish) Matematyka na Pomorzu Gdanskim 1945 - 2015 pod redakcja E. Jakimowicz & A. Szczepanskiego, Wydawnictwo Uniwersytetu Gdanskiego,
Gdansk 2017
- Andrzej Jankowski Memorial Lectures Gdańsk 1999-2018 Edited and with an Introduction by Andrzej Szczepański, Gdańsk University Press 2020,
Link
Articles
- R. Lutowski, A. Szczepanski, R. ,Weidmann, Automorphism groups of combinatorial Hantzsche-Wendt groups,
submitted PDFfile
- R. Lutowski, A. Szczepanski, Minimal non-solvable Bieberbach groups,
submitted PDF File
- J. Popko, A. Szczepanski, Properties of the combinatorial Hantzsche-Wendt groups,
Topology and its applications, 310, (2022) article 108037 PDF File
- R. Lutowski, J. Popko, A. Szczepanski, Spin^C structures on Hantzsche-Wendt manifolds J. Geom. Phys. 171 (2022)
PDF File
- A. Gąsior, A. Szczepanski, Examples of non connective C*-algebras,
Ann. Univ. Paedagog Cracoviensis, Studia Mathematica 20, (2021), 57-61
PDF File
- G. Hiss, R. Lutowski, A. Szczepanski, Flat manifolds with holonomy representation of quaternionic type,
Comm. Algebra, 49(3), (2021), 1286-1294 PDF file
- 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
- A. Szczepanski, Intersection forms of almost-flat 4-manifolds,
Archiv der Mathematik 110 (2018), 455-458 PDF file
- R. Lutowski, N. Petrosyan, A. Szczepanski, Classification of Spin structures on 4-dimensional
almost-flat manifolds, Mathematika 64 (2018), 253 - 266 PDF file
- 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
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- A. Gasior, R. Lutowski, A. Szczepanski, A short note about diffuse Bieberbach groups,
J. Algebra 494 (2018), 237 - 245 PDF file
- J. Popko, A. Szczepanski, Cohomological rigidity of oriented Hantzsche-Wendt manifolds,
Advances in Math., 302 (2016), 1044 - 1068 PDF file
- A. Gasior, N. Petrosyan, A. Szczepanski, Spin structures on almost-flat manifolds -
Algebr. Geom. Topol., 16 No. 2 (2016), 783-796 PDF file
- 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
- R. Lutowski, A. Szczepanski, Holonomy groups of flat manifolds with R_{\infty} property -
Fund. Mathematicae, 223 (2013), 195-205 PDF file
- A. Gasior, A. Szczepanski, Tangent bundles of Hantzsche-Wendt manifolds - J. Geom. and Physics, 70 (2013), 123-129
PDF file
- A. Szczepanski, Eta invariants for flat manifolds - Annal. Global Anal. Geom., 41 (2) (2012), 125-138
PDF file
- B. Putrycz, A. Szczepanski, Existence of spin structures on flat four - manifolds, Adv. in Geometry, 10 (2) (2010), 323-332
PDF file
- 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)
- A. Szczepanski, Properties of Generalized Hantzsche-Wendt groups J. Group Theory, 12 (2009), 761-769
PDF file
- K. Dekimpe, M. Halenda, A. Szczepanski, Kahler flat manifolds J. Mathem. Soc. of Japan, 61 (2) (2009), 363-377
PDF file
- 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
- 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
- A. Szczepanski. Problems on Bieberbach groups and flat manifolds. Geometriae Dedicata 120 (2006), 111-118 PDF file
- K. Dekimpe, M. Sadowski, A. Szczepanski, Spin structures on flat manifolds.
Monatshefte fur Mathematik 148 (2006), 283-296 PDF file PS file
- M. Sadowski, A. Szczepanski, Flat manifolds, harmonic spinors and \eta invariants.
Adv. in Geometry 6 (2006), no.2, 287-300 PDF file
- J. P. Rossetti, A. Szczepanski, Generalized Hantzsche-Wendt flat manifolds.
Revista Matem. Iberoam. 21 (2005), no.3, 1053-1070
PDF file
- 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
- W. Malfait, A. Szczepanski, The structure of the (outer) automorphism
group of a Bieberbach group. Compositio Mathem., 136 (1), (2003), 89-101
- A. Szczepanski, Examples of Relatively Hyperbolic Groups.
Geom. Dedicata, 93, (2002), 139-142
- A. Szczepanski, A. Vesnin HNN extension of cyclically presented groups.
J. Knot Th. and Ram. , 10 (8), (2001), 1269-1281
- A. Szczepanski, The euclidean representations of the Fibonacci groups.
Quart. J. Mathem. Oxford (2), 52, (2001), 385-389
- K.B. Lee, A. Szczepanski Maximal holonomy of Almost Bieberbach
groups for Heis 5. Geom. Dedicata, 87, (2001), 167-180
- A. Szczepanski, A. Vesnin Generalized Neuwirth Groups and Seifert
Fibered manifolds.
Algebra Colloquium, 7, (3), (2000), 295-303. PDF file
- A. Szczepanski, A. Vesnin, On Generalized Fibonacci Groups with an odd
number of generators. Communications in Algebra, 28 (2),(2000) 959-965
- A. Szczepanski, A. Vesnin, High dimensional knots corresponding to
the Fractional Fibonacci groups.Fund. Math. 161 (1999), 235-240. PDF file
- A. Szczepanski, Relatively hyperbolic groups.Michigan Math. J. 45 (1998),
611-618.
- A. Szczepanski, High dimensional knot groups and HNN extensions of
the Fibonacci groups. J.Knot Th. and Ram. 7, (1998), 503-508. PDF file
- W. Malfait, A. Szczepanski, Almost-Bieberbach groups with (in)finite outer
automorphism group. Glasgow Math. J., 40 (1998), 47-62.
- G. Hiss, A. Szczepanski, Flat manifolds with only finitely many affinities.
Bull. Ac. Pol.; Math., 45 (1997), 349-357.
PDF file
- A. Szczepanski, Decomposition of flat manifolds.
Mathematika 44 (1997), 113-119.
- A. Szczepanski, Outer Automorphism groups of Bieberbach groups.
Bull.Belgium Math. Soc.(Simon Stevin) 3 (1996), 585-593.
- A. Szczepanski, Holonomy groups of five dimensional Bieberbach
groups. Manuscripta Mathematica 90 (1996), 383-389.
- G. Hiss, A. Szczepanski, Holonomy groups of Bieberbach groups with finite outer automorphism groups.
Archiv der Mathematik 65 (1995), 8-14.
- A. Szczepanski, About the Possibility of Aplication of Relative Hyperbolization
of Polyhedra. Math. Nachrichten 172 (1995), 283-290.
- G. Hiss, A. Szczepanski, On torsion Free Crystallographic Groups.
J. Pure and Appl. of Algebra 74 (1991), 39-56.
PDF file
- A. Szczepanski, Five dimensional Bieberbach groups with trivial center.
Manuscripta Mathematica 68 (1990), 191-208.
- 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.
- 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.
- 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.
- A. Szczepanski, Euclidean space forms with the first Betti number equal to zero.
Quart.J.Math. Oxford (2), 36 (1985), 489-493.
- A. Szczepanski, Aspherical manifolds with the Q-homology of a
sphere. Mathematika 30 (1983), 291-294.
My Recent Lectures
- Irreducible holomorphic symplectic manifolds, Kraków, IMPAN October - 20, 2022 PDF file
- 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