Katedra Algebry i Geometrii / Division of Algebra and Geometry

Słoneczna 54, 10-710 Olsztyn
Tel.: (4889) 524 60 34
e-mail: marzena.smiech@matman.uwm.edu.pl

 

Last update: 20/12/2011

 

Staff of the
DIVISION OF ALGEBRA AND GEOMETRY


Head: Aleksy Tralle, dr hab., Full Professor, room no. 39/Math

Marek Golasinski, dr hab., Associate Professor, room no. 25/Mat
Bogusław Hajduk, dr hab. Associate Professor, room no. 34/Mat
Andrzej Orlicki, dr hab., Associate Professor (tenured), room no. 24/Mat
Andrzej Matraś, dr hab., Assistant Professor, room no. 26/Mat
Andrzej Panasiuk, dr hab., Associate Professor
Mark Pankov, dr hab., Assistant Professor, room no. 23/Mat
Bogdan Staruch, dr, Assistant Professor, room no. 29/Mat
Michał Germaniuk, dr, Senior Lecturer, room no. 34/Mat
Jarosław Kosiorek, dr, Senior Lecturer, room no. 26/Mat
Kazimierz Sienkiewicz, dr, Senior Lecturer, room no. 23/Mat
Bożena Staruch, dr, Assistant Professor, room no. 29/Mat
Anna Szczepkowska, dr, Assistant Professor, room no. 25/Mat
Marzena Śmiech, Secretary, room no. 32/Mat

Ph.D. Students:

Maciej Bocheński
Piotr Jastrzębski
Magdalena Pliskowska

Emeriti:

Maria Chodakowska, mgr, Lecturer
Tadeusz Pawłowski, mgr, Lecturer

 

Selected publications of members of the
DIVISION OF ALGEBRA AND GEOMETRY


Adam Doliwa

  • The B-quadrilateral lattice, its transformations and the algebro-geometric construction, J. Geom. Phys. 57(2007), 1171-1192
  • Integrable Systems and Discrete Geometry, [in:] Encyclopedia of Mathematical Physics, J. P. Françoise, G. Naber and T. S. Tsun (eds.) Vol. III, pp. 78-87, Elsevier, 2006 (with P. M. Santini)
  • The normal dual congruences and the dual Bianchi lattice, Glasgow Math. J. 47A(2005),51-63
  • On $\tau$--function of conjugate nets, J. Nonlin. Math. Phys. {12} Supplement (2005) 244--252.
  • Algebro-geometric solution of the discrete KP equation over a finite field out of a hyperelliptic curve, Comm. Math. Phys. (2005) 157--170 (with M. Białecki)
  • Darboux transformations for 5-point and 7-point self-adjoint schemes and an integrable discretization of the 2D Schrdinger operator, Phys. Lett. A. 323 (2004) 241--250 (with M. Nieszporski and P.M. Santini).
  • Geometric discretizationof the Bianchi system, J. Geom. Phys. 52 (2004) 217--240 (with P.M. Santini and M. Nieszporski).
  • Integrable generalization of the Toda law to the square lattice, Phys. Rev. E. 70 (2004) (with P.M. Santini and M. Nieszporski)
  • Geometric discretization of the Koenigs nets, J. Math. Physics, 44(2003),2234-2249.
  • The discrete KP and KdV equations over finite fields, Theor. Math. Phys. 137 (2003) 1412--1418 (with M. Białecki).
  • The Hirota equation over finite fields. Algebro-geometric approach and multisoliton solutions, J. Phys. A 36(2003), 4827-4839.
  • Discrete asymptotic nets and W-congruences in Plücker line geometry, J. Geom. Phys. 39 (2001), 9-29.
  • The symmetric, D-invariant and Egorov reductions of the quadrilateral lattice, J Geom. Phys. 36 (2000), 60-102 (with P. M. Santini).
  • Transformations of quadrilateral lattices, J. Math. Phys. 41 (2000), 944-990 (with Mańas and P. M. Santini).
  • Charged free fermions, vertex operators and transformation theory of conjugate nets, J. Phys. A 32 (1999) 1197-1216.
  • D-bar reductions of the multidimensional quadrilateral lattice: the multidimensional circular lattice, Comm. Math. Phys. 196 (1998) 1-18 (with S. V. Manakov and P. M. Santini).
  • Geometric discretisation of the Toda system, Phys. Lett. A (1997) 187-192
  • Multidimensiona quadrilateral lattices are integrable, Phys. Lett. A 233 (1997), 365-372 (with P. M. Santini).
  • Holomorphic curves and Toda systems, Lett. Math. Phys. 39 (1997) 21-32.
  • An elementary geometric characterization of the integrable motions of a curve, Phys. Lett. A 185 (1994) 373-384 (with P. M. Santini).

    • Michał Germaniuk

  • Projective subvarieties of the Plucker variety and rational morphisms, Demonstr. Math. 33(2001).

    • Bogusław Hajduk

  • Exotic smooth structures and symplectic forms on closed manifolds, Geom. Dedicata 132(2008) 31-42 (with A. Tralle)
  • Symplectic forms inwariant dunder free circle actions on 4-manifolds, Trans. Amer. Math. Soc. 358(2006),1953-1970 (with R. Walczak)
  • Diffeomorphisms and almost complex structures on tori, Annals Global Anal. Geom. 28(2005),337-349 (with A. Tralle)

    • Jan Jakóbowski

  • Some generalizations of nearaffine planes, Bull. Polish Acad. Sci 53(2005), 87-97
  • Nearaffine Planes Related to Pseudo-ordered Fields, Bull. Polish Acad.Sci Math. 50 (2002), no. 3, 345-360
  • Multicentral Automorphisms in Geometries of Circles, Bull. Polish Acad.Sci Math. 49 (2001), no. 4, 417-432 (with A. Matras)
  • A geometrical characterization of Minkowski planes of order 3 and 4, Demonstratio Math. 32 (1999), no. 2, 441-456
  • A new construction for Mnkowski planes, Geom. Dedicata 69 (1998), no. 2, 179-188
  • A new generalization of Moulton affine planes, Geom. Dedicata 42 (1992), no. 3, 243-253
  • A connection between Fano configurations and Minkowski planes of odd order, Geom. Dedicata 29 (1989), no. 2, 221-226

    • Jarosław Kosiorek

  • The symmetry axioms in Minkowski planes, Abh. Math. Semin., Hamburg 76(2006), 1-16 (with A. Matraś)
  • The symmetry axioms in Laguerre planes, Results Math. 48(2005), 237-245 with J. Matras)
  • Central automorphisms of touth planes of chains, Zeszyty Naukowe Geometria 20(1993), 23-28
  • An axiom system for full 3-dimensional Euclidean geometry, Math. Bohemica, 116(1991), 113-118.

    • Andrzej Matraś

  • A construction of a skewaffine structure in Laguerre geometries, Bull. Polish Acad., Sci.(Mathematics) 54(2006), 277-289
  • The symmetry axioms in Minkowski planes, Abh. Math. Semin., Hamburg 76(2006), 1-16 (with J. Kosiorek)
  • The symmetry axioms in Laguerre planes, Results Math. 48(2005), 237-245 with J. Kosiorek)
  • Some chain geometries determined by transformation groups, Result. Math. 46(2004), 251-270 (with A. Mierzejewska and K. Prazmowski)
  • Multicentral automorphisms in geometries of circles, Bull. Polish Acad. Sci.,Mathematics, 49(2001), 417-432 (with J. Jakóbowski)
  • Minkowski planes admitting automorphisms of small type, J. Geom.. 71(2001), 78-85 (with H.-J. Kroll and J. Jakóbowski).
  • Minkowski planes with Miguelian pairs, Beitr. Geom. Algebra, 38(1997), 99-109 (with H.-J. Kroll)
  • A classification of Minkowski planes with respect to (E,F) axial homologies, Beitr Geom. Algebra, 33(1995)
  • On Havlicek-Tieze configurations in some non-desarguesian planes, Casopis pro Pestovani Matematiky 2(1989),

    • Andrzej Orlicki

  • Multimorphisms over enumerated sets, Notre Dame J. Formal Logic 34(1993), 527-538.
  • Computable limits and colimits in categories of partial enumerated sets, Math. Logic Quartely 39(1993), 181-196.
  • On a concept of a binary relation over partial enumerated sets, Algebra i Logika 31(1992), 304-317.
  • Constructivity of endofunctors on categories of partial enumerated sets, Part 2: some important examples, Zetschrift math. Logik Grundl. Math. 37(1991), 439-452.
  • Constructivity of endofunctors on categories of partial enumerated sets, part 1: general result, Zeitschrift math. Logik Grundl. Math. 37(1991), 307-316.
  • On some categories of partial enumerated sets, Zeitschrift math. Logik Grundl. Math. 36(1990), 541-560.
  • Covariant hom-functors on the category of enumerated sets, Zeitschrift math. Logik Grundl. Math. 35(1989), 79-94.
  • Binary relations over the category of enumerated sets, Zeitschrift math Logik Grundl. Math. 34(1988), 265-276.
  • Constructive and locally constructive endofunctors on the category of enumerated sets, Zeitschrift math. Logik Grundl. Math. 33(1987), 371-384.
  • On enumerated algebras and some monads in the category of unumerated sets, Fundamenta Informaticae 8 (1985), 285-307.

    • Mark Pankov

  • On the geometry of symplectic involutions, Beitr. Algebra Geom. 47(2006), 435-446
  • Mappings of Grassmannians of linear spaces satisfying the exchange axiom, Aequat. Math. 72(2006),254-268.
  • Geometry of polar Grassmann spaces, Demonstr. Math. 39(2006), 625-637.

    • Gerd Schmalz

  • Explicit constructions of a Chern-Moser connection for CR-manifolds of codimension two, Annali di Matematica (with A. Spiro), 185(2006),337-379
  • Nonlinearizable CR-automorphisms, torsionfree elliptic CR-manifolds and second order ODE, J. Reine Angew. math. 584(2005), 215-236

    • Aleksy Tralle

  • Symplectically aspherical manifolds, J. Fixed Point Theory and Applications, 3(2008), 1-21 (with J. Kędra and Y. Rudyak)
  • Exotic smooth structures and symplectic forms on closed manifolds, Geom. Dedicata 132(2008), 31-42 (with B. Hajduk)
  • On fundamental groups of symplectically aspherical manifolds II: Abelian groups, Math. Zeitschrift 256(2007) 825-835 (with J. Kędra and Y. Rudyak)
  • Diffeomorphisms and almost complex structures on tori, Annals Global Anal. Geom. 28(2005), 337-349 (with B. Hajduk)
  • On fundamental groups of symplectically aspherical manifolds, Math. Zeitschrift, 248(2004), 805-826 (with R. Ibanez, J. Kedra and Y. Rudyak)
  • Symplectically harmonic cohomology of nilmanifolds, Fields Institute Communications, 35(2003), 117-130 (with R. Ibanez, Yu. Rudyak, and L. Ugarte)
  • On certain geometric and homotopy properties of closed symplectic manifolds, Topology Appl. 127(2003), 33-45 (with R. Ibanez, Yu. Rudyak and L. Ugarte)
  • Symplectically harmonic forms on six-dimensional nilmanifolds, Comment. Math. Helv. 76(2001), 89-109 (with R. Ibanez, Yu. Rudyak and L. Ugarte)
  • On solvable Lie groups without lattices, Contemp. Math. 288(2001), 437-441.
  • On Thom spaces, Massey products and nonformal symplectic manifolds, Internat. Math. Res. Notices 10(2000), 495-513 (with Yu. Rudyak).
  • On manifolds with aspherical symplectic form, Topol. Methods Nonlinear Anal. 14(1999), 353-362 (with Yu. Rudyak).
  • On solvmanifolds and the Benson-Gordon conjecture from the Hamiltonian viewpoint, J. Lie Theory, 8(1998) (with W. Andrzejewski).
  • Koszul-Sullivan models and cohomology of certain solvmanifolds, Annals Global Anal. Geom 14(1997), (with J. Oprea)
  • Kaehler completely solvable solvmanifolds are tori, Internat. Math. Res. Notices, 15(1997), 727-732 (with J. Kędra).
  • Symplectic manifolods with no Kaehler structure (research monograph), Lect. Notes Math. 1661, Springer, Berlin, 1997.
  • Applications of rational homotopy theory to geometry (results, problems, conjectures), Expo. Math. 14(1996), 425-472.

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