Badania

Badania prowadzone w katedrze związane są z:

• Dr hab. Jan Jakóbowski
• Podstawy geometrii
• Ciała pseudo-uporządkowane i związane z nimi struktury geometryczne
• Struktury algebraiczne i geometryczne
• Skończone struktury i ich zastosowania
• Geometrie łańcuchów
• prof. dr hab. Marek Golasiński
• Topologia algebraiczna
  
• Algebra homologiczna
• Geometria algebraiczna
• Teoria kategorii
• Funkcje analityczne
• Dr hab. Vsevolod Shevchishin
• Geometria i topologia symplektyczna
  
• Układy dynamiczne wielomianowo całkowalne 
• Geometria zespolona i Kählerowska
• Kombinatoryjna teoria grup
• dr Marta Kwiecień
• Teoria reprezentacji algebr
• Modele Markowa
• Statystyka stosowana 
• Dydaktyka matematyki

• dr Bernard Kasietczuk
• statystka matematyczna
• zastosowania metod matematycznych w naukach technicznych i przyrodniczych

W Katedrze prowadzone są seminaria naukowe:

• ...
  

Wykaz monografii naukowych:

• Prof. dr hab. Marek Golasiński
• Marek Golasiński, Algebraic models of disconnected equivariant spaces, Wydawnictwa UMK, seria Rozprawa Habilitacyjna 153p., Toruń (2003).
• Marek Golasiński, Yuli Rudyak, Paulo Salvatore, Nikolai Saveliev, Nathalie Wahl,  Algebraic Topology - Old and New, Banach Center Publ. 85 (2009).
• Marek Golasiński,  Juno Mukai, Gottlieb and Whitehead center groups of spheres, projective and Moore spaces, Springer International Publishing Switzerland (2014).
  
• Dr hab. Jan Jakóbowski
• Jan Jakóbowski, A characterization of Minkowski planes and of some related structures induced by pseudo-ordered fields, seria Rozprawa habilitacyjna, Wydawnictwo UWM (2002) Olsztyn

Wykaz ważniejszych publikacji:

• Prof. dr hab. Marek Golasiński
•  Marek Golasiński, Homotopies of small categories, Fund. Math. CXIV (1981), 209-217.
•  Marek Golasiński, On closed models on the procategories of small categories and simplicial
  schema, Uspekhi Mat. Nauk 5, vol. 39 (1984), 239-240 (in Russian).
• Marek Golasiński, Representability of the functor K₀  on the ring of 0-forms, Mat. Zam. 36, no. 3 (1984), 389-391 (in Russian).
• Marek Golasiński, Equivariant dual J.H.C. Whitehead theorem, Coll. Math. Soc. J. Bolyai 55 (1989), 283-288.
• Marek Golasiński, Rational homotopy type of nilpotent and complete spaces, Trudy  Mat. Inst. Steklov. 193 (1992), 76-81 (in Russian).
•  Martin Arkowitz, Marek Golasiński, Co-H-structures on Moore spaces of type (G,2), Canad. J. Math.
  46 (1994), 673-686.
•  Daciberg Lima Gonçalves, Marek Golasiński, Isomorphic cohomology yields isomorphic homology, Manuscripta Math. 92 (1997), 65-75.
•  Marek Golasiński, Injective models of G-disconnected simplicial sets, Ann. Inst. Fourier (Grenoble) 47 (1997), 1491-1522.
• Daciberg Lima Gonçalves, Marek Golasiński, On co-Moore spaces, Math. Scand. 83 (1998), 42-52.
• Daciberg Lima Gonçalves, Marek Golasiński, Generalized Eilenberg-Zilber type theorem and its equivariant applications, Bull. Sci. Math. 123 (1999), 285-298.
• Marek Golasiński, On injective and cofibrant equivariant minimal models, Comp. Math. 124, no. 1 (2000), 1-9.
• Daciberg Lima Gonçalves, Marek Golasiński, Homotopy spherical space forms - a numerical bound for homotopy types, Hiroshima Math. J. 31 (2001), 107-116.
•  Ronald Brown, Marek Golasiński, Timothy Porter, Andrew Tonks, Spaces of maps into classifying spaces for equivariant crossed complexes, II: The general topological group case, K-Theory 23 (2001), 129-155.
• Marek Golasiński, Francisco  Gómez Ruiz, Polynomial and regular maps into Grassmannians, K-Theory 26(1) (2002), 51-69.
• Marek Golasiński, On G-Disconnected Injective Models, Ann. Inst. Fourier (Grenoble) 53 (2003), 625-664.
• Daciberg Lima Gonçalves, Marek Golasiński, Spherical space forms - homotopy self-equivalences and homotopy types, Progr. Math. 215 Birkhäuser, Basel (2004), 153-165.
•  Rudolf Fritsch, Marek Golasiński, Topological, simplicial and categorical joins, Arch. Math. (Basel) 82 (2004), 468-480.
• Melvin Henriksen, Marek Golasiński, Residue class rings of real analytic and entire functions, Colloq. Math. 104 (2006), no. 1, 85-97.
• Marek Golasiński,  On generalized  ham sandwich theorems, Arch. Math. (Brno), 42 (2006), 25-30.
• Marek Golasiński, Aniceto Murillo, Maps into homotopy coalgebras, Topology Appl. 153 (2006), 2876-2885.
•  Casa Casacuberta, Marek Golasiński  and Andrew Tonks,  On localization of groupoids, Forum Math. 18, no. 6 (2006), 967-982.
• Marek Golasiński and Juno Mukai, On Gottlieb groups of spheres, Topology 47 (2008), 399-430.
• Marek Golasiński, Francisco Gómez Ruiz, On polynomial automorphisms of spheres, Israel J. Math. 168 (2008), 275-289.
•  Marek Golasiński, Daciberg Lima Gonçalves, On automorphisms of split metacyclic groups, Manuscripta Math. 128 (2009), 251-273.
• Marek Golasiński,  Daciberg Lima Gonçalves,  Peter Wong, James construction, Fox torus homotopy groups, and Hopf invariants, Contemp. Math. 519, (2010), 123-132.
•  Marek Golasiński, Henriksen's contributions to residue class rings of analytic and entire functions, Topology Appl. 158 (2011), 1756-1761.
• Marek Golasiński, Francisco Gómez Ruiz, Brouwer degree of polynomial maps, J. Homotopy Relat. Struct. 9 (2014), no. 1, 95-108.
• Daciberg Lima Gonçalves, Marek Golasiński, Peter Wong, On the group structure of [Ω S², ΩY], Quart. J. Math. Oxford Ser. (2), (2014), 1-22.
• Daciberg Lima Gonçalves, Marek Golasiński, Rolando Jiménez, Free and properly discontinuous actions of groups on homotopy circles, Russian J. Math. Phys. vol. 22, no. 3, 1-21 (2015).
• Marek Golasiński, Thiago de Melo, On the higher order exterior and interior Whitehead products, Manuscripta Math. 152, 167-188 (2017).
• Daciberg Lima Gonçalves, Marek Golasiński, Free and properly discontinuous actions of groups GxZ^m$  and G₁*_G G₂ on odd homotopy spheres, Journal of Homotopy and Related Structures, 2017.
• Marek Golasiński, Daciberg Lima Gonçalves, Rolando Jiménez, Properly discontinuous actions of groups on homotopy 2n-spheres, Proc. Edinburgh Math. Soc. (2), 2017.
• Marek Golasiński, Thiago de Melo, On higher Whitehead product, J.  Homotopy  Relat. Struct. 2017.
• Marek Golasiński, Daciberg Lima Gonçalves, John Guaschi, On the homotopy fibre of the inclusion map F_n(X)→∏ⁿ₁X for some orbit spaces X,  Bol. Soc. Mat. Mex., 2017.
• Daciberg Lima Gonçalves, Marek Golasiński, Peter Wong, On the group structure of [J(X), [Ω Y], J. Homotopy Relat. Struct. 2017.
• Marek Golasiński, Akira Kono, Path-components of mapping spaces into Moore spaces-I, Sci. Eng. Rev. Doshisha Univ. vol. 57, no. 4 2017 231-238.
• Dr hab. Vsevolod Shevchishin
• Lebedeva Nina, Matveev Vladimir, Petrunin Anton, Shevchishin Vsevolod, Smoothing 3-demensional polyhedral spaces, Electron. Res Annouc. Math. Sci 22 (2015), 12-19
• Valent Galliano, Duval Christian, Shevchishin Vsevolod, Explicit metrics for a class of 2-dimensional cubically superintegrable systems. J. Geom. Phys. 87 (2015), 461–481
• Shevchishin Vsevolod, A moduli space of non-compact curves on a complex surface, Complex Var. Elliptic Equ. 58 (2013), no. 11, 1527–1548
• Ivashovich S., Shevchishin Vsevolod, Local properties of J-complex curves in Lipschitz-continuous structures, Math. Z. 268 (2011), no. 3-4, 1159–1210
• Matveev Vladimir, Shevchishin Vsevolod, Two-dimensional superintegrable metrics with one linear and one cubic integral, J. Geom. Phys. 61 (2011), no. 8, 1353–1377
• Matveev Vladimir, Shevchishin Vsevolod, Differential invariants for cubic integrals of geodesic flows on surfaces J. Geom. Phys. 60 (2010), no. 6-8, 833–856
• Shevchishin Vsevolod, Lagrangian embeddings of the Klein bottle and the combinatorial properties of mapping class groups (Russian) Izv. Ross. Akad. Nauk Ser. Mat. 73 (2009), no. 4, 153--224; translation in Izv. Math. 73 (2009), no. 4, 797–859
• Kulikov Vik., Oru D., Shevchishin Vsevolod, Regular homotopy of Hurwitz curves, (Russian) Izv. Ross. Akad. Nauk Ser. Mat. 68 (2004), no. 3, 91--114; translation in Izv. Math. 68 (2004), no. 3, 521–542
• Shevchishin Vsevolod, On the local Severi problem, Int. Math. Res. Not. 2004, no. 5, 211–237
• Orevkov S., Shevchishin Vsevolod, Markov theorem for transversal links, J. Knot Theory Ramifications 12 (2003), no. 7, 905–913
• Panasyuuk Andriy, Shevchishin Vsevolod, Darboux-type theorems for ∂-symplectic and ∂-contact structures, Ann. Global Anal. Geom. 23 (2003), no. 3, 265–281
• Shevchishin Vsevolod, Limit holonomy and extension properties of Sobolev and Yang-Mills bundles, J. Geom. Anal. 12 (2002), no. 3, 493–528
• Ivashkovich S., Shevchishin Vsevolod, Reflection principle and J-complex curves with boundary on totally real immersions, Commun. Contemp. Math. 4 (2002), no. 1, 65–106
• Ivashkovich S., Shevchishin Vsevolod, Gromov compactness theorem for J-complex curves with boundary Internat. Math. Res. Notices 2000, no. 22, 1167–1206
• Ivashkovich S., Shevchishin Vsevolod, Structure of the moduli space in a neighborhood of a cusp-curve and meromorphic hulls, Invent. Math. 136 (1999), no. 3, 571–602
• Ivashkovich S., Shevchishin Vsevolod, Deformations of noncompact complex curves, and envelopes of meromorphy of spheres (Russian) Mat. Sb. 189 (1998), no. 9, 23--60; translation in Sb. Math. 189 (1998), no. 9-10, 1335–1359
• Shevchishin Vsevolod, The Thullen type extension theorem for holomorphic vector bundles with L2-bounds on curvature, Math. Ann. 305 (1996), no. 3, 461–491
• Shevchishin Vsevolod, Cohomological obstructions for the extension of holomorphic line bundles (Russian) Mat. Metody i Fiz.-Mekh. Polya No. 34 (1991), 4--8; translation in J. Soviet Math. 66 (1993), no. 6, 2548–2551
• Shevchishin Vsevolod, Removable singularities of codimension three of Yang-Mills bundles and holomorphic vector bundles, (Russian) Dokl. Akad. Nauk Ukrainy 1992, no. 7, 8–10, 177
• Shevchishin Vsevolod, The Oka-Grauert principle for the extension of holomorphic line bundles with integrable curvature, (Russian) Mat. Zametki 50 (1991), no. 5, 109--119; translation in Math. Notes 50 (1991), no. 5-6, 1170–1177 (1992)
• Dr hab. Jan Jakóbowski
• Jan Jakóbowski, A connection between Fano configurations and Minkowski planes of odd order, Geometriae Dedicata 29 (1989), 221 - 226
• Jan Jakóbowski, A new generalization of Moulton affine planes, Geometriae Dedicata 42 (1992), 243 - 253
• Jan Jakóbowski, A new construction for Minkowski planes, Geometriae Dedicata 69 (1998), 179 - 188
• Jan Jakóbowski, A geometrical characterization of Minkowski planes of order 3 and 4, Demonstratio Mathematica 32 (1999), 441 - 456
• Jakóbowski, Hans Joachim Kroll, Andrzej Matraś, Minkowski planes admitting automorphism groups of small type, Journal of Geometry 71 (2001), 78 - 84
• Jan Jakóbowski, Andrzej Matraś, Multicentral automorphisms in geometries of circles, Bulletin of the Polish Academy of Sciences. Mathematics 49 (2001,417–432
• Jan Jakóbowski, Nearaffine planes related to pseudo-ordered fields, Bulletin of the Polish Academy of Sciences. Mathematics 50 (2002), 345–360
• Jan Jakóbowski, Theorems on products of central collineations with distinct centers or axes applied to the Benz planes, Demonstratio Mathematica 37 (2004,639-653
• Jan Jakóbowski, Some generalization of nearaffine planes, Bulletin of the Polish Academy of Sciences. Mathematics 53 (2005), 87–97
• Kinga Cudna-Salmanowicz, Jan Jakóbowski, Central automorphisms of Veblenian nearaffine planes, Bulletin of the Polish Academy of Sciences. Mathematics 53 (2005), 337–347
• Kinga Cudna-Salmanowicz, Jan Jakóbowski, Extending nearaffine–planes to hyperbola structures, Bulletin of the Polish Academy of Sciences. Mathematics 55 (2005), 71–80
• Jan Jakóbowski, Some examples of denumerable pseudo-ordered fields and their applications to geometry, Demonstratio Mathhematica, 46 (2013), 247–256
• Jan Jakóbowski, Danuta Kacperek, Havlicek-Tietze configurations in various projective planes, Demonstratio Mathematica, 47 (2014), 979–988
• Dr Bernard Kasietczuk
• B.Kasietczuk, Estimation of asymmetry vand kurtosis coefficients in the proces of geodetic network adjustment by the least-squares method. Journal of Geodesy. vol 71, 1997 pp131-136.
• Bernard Kasietczuk, Geodetic adjustment by the maximum likelihood with application of local variance, asymmetry and excess coefficients. Bolletino di geodesia e scienze affini N. 3, 2000
• Bernard Kasietczuk, Mariusz Malinowski, Geodetic network adjustment alghoritm by the non-parametric method. Bollettino di Geodesia e Scienze Affini, Vol LXIII, 2004.
• Robert Podstawski, Bernard Kasietczuk, Tomasz Boraczyński, Michał Boraczyński, Dariusz Choszcz, Relationship between BMI and endurance-strenght abilities assessed by the 3 minute burpeetest. International Journal of Sport Science, Vol 3, 2013
• Dr Marta Kwiecień
• M. Kwiecień, A. Skowroński, On wings of the Auslander-Reiten quivers of selfinjective algebras, Colloq. Math. 103 (2005), 265-285
• M. Kwiecień, A. Skowroński, Selfinjective algebras of strictly canonical type, Colloq. Math. 116 (2009), 47-103 
• M. Kwiecień, A. Skowroński, A classification of symmetric algebras of strictly canonical type, Colloq. Math. 116 (2009), 249–271.
• M. Kwiecień, A. Skowroński, A characterization of selfinjective algebras of strictly caninical type, Journal of Algebra 323 (2010), 473-508
• M. Kośko, M. Kwiecień, J. Stempińska, Identyfikacja punktów zwrotnych cykli koniunkturalnych wybranych krajów z wykorzystaniem modeli Markowa,  Roczniki Kolegium Analiz Ekonomicznych 36 (2015), 511-523
• M. Kośko, M. Kwiecień, J. Stempińska, Przełącznikowe modele Markowa (MS) – charakterystyka i sposoby zastosowań w badaniach ekonomicznych, Roczniki Kolegium Analiz Ekonomicznych 40 (2016), 479-490