dr hab. Marek Karaś

Jednostki:

  • Wydział Matematyki i Informatyki UJ
  • Instytut Matematyki
  • Zakład Matematyki Finansowej

Habilitacja  Otwarcie: 2012-03-29, Zamknięcie: 2013-02-07

Publikacje:

32.
Marek Karaś, Anna Serwatka
Discrete-time market models from the small investor point of view and the first fundamental-type theorem, Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica Xvi vol. 16 (2017), 17-40
31.
Eric Edo, T. Kanehira, Marek Karaś, Shigeru Kuroda
Separability of wild automorphisms of a polynomial ring, Transformation Groups vol. 18 (2013), 81–96
30.
Marek Karaś, Jakub Zygadło
Wild multidegrees of the form (d, d2, d3) for fixed d ≥ 3, Bulletin of the Polish Academy of Sciences. Mathematics (2012), 211-218
29.
Marek Karaś
There is no tame automorphism of C^3 with multidegree (3,4,5), Proceedings of the American Mathematical Society vol. 139, no. 3 (2011), 769-775
28.
Marek Karaś, Jakub Zygadło
On multidegrees of tame and wild automorphisms of C3, Journal of Pure and Applied Algebra (2011), 2843-2846
27.
Marek Karaś
Multidegrees of tame automorphisms of C^n, Dissertationes Mathematicae (2011), 55
26.
Marek Karaś
Tame Automorphisms of C^3 with Multidegree of the Form (p_1,p_2,d_3), Bulletin of the Polish Academy of Sciences. Mathematics (2011), 27-32
25.
Marek Karaś
Tame automorphisms of C^3 with multidegree of the form (3,d_2,d_3), Journal of Pure and Applied Algebra (2010), 2144-2147
24.
Marek Karaś
Birational finite extensions of mappings from a smooth variety,, Bulletin of the Polish Academy of Sciences. Mathematics (2009), 117-120
23.
Marek Karaś, KaraśM.
A note on triangular automorphisms, UNIV. IAGEL. ACTA MATH. 46 (2008) 71-74.
22.
Marek Karaś, KaraśM.,ZielińskiA.P.
Boundary-value recovery by the Trefftz approach in structural inverse problem, COMM. NUMER. METHODS ENGRG. 24 (2008) 605-625.
21.
Marek Karaś, KaraśM.
A note on geometric degree of finite extensions of mappings from a smooth variety, BULL. POLISH ACAD. SCI. MATH. 56 no. 2 (2008), 105 - 108
20.
Marek Karaś
Geometric degree of finite extensions of mappings from a smooth variety, J. PURE APPL. ALGEBRA 212 (2008), 1145-1148
19.
Marek Karaś
Extension of polynomial mapping with a given Lojasiewicz exponent, UNIV. IAGEL. ACTA MATH. 47 (2007), 77-79
18.
Marek Karaś
Locally Nilpotent Monomial Derivations, BULL. POLISH ACAD. SCI. MATH. VOL. 52, no. 2, (2004) ,119--120
17.
Marek Karaś, B.Szybiński,A.P.Zielinski
Folded-plate structures with openings – analysis and optimization,, COMP. ASS. MECH. ENGNG SC., 8 (2003), 479-493
16.
Marek Karaś, B.Szybiński,A.P.Zielinski
D plate structures: optimization using special T-elements,, Proc. of the V Word Congress on Computational Mechanics, Vienna, Austria (2002).
15.
Marek Karaś, KaraśM.,ZielińskiA.P.
Hybrid Trefftz least square element for plane elasticity, STROJ. CAS. (J. MECH. ENGNG.) 53 no.1 (2002), 24-35.
14.
Marek Karaś
Finite extensions of mappings of finite sets, BULL. POLISH ACAD. SCI. MATH. 50 (2002), no. 2, 237--239
13.
Zbigniew Jelonek, Marek Karaś
The set of points at which a morphism of affine schemes is not finite, COLLOQ. MATH. 92 (2002), no. 1, 59--66
12.
Marek Karaś, ZielińskiA.P.,SaneckiH.,KaraśM.
Effectiveness of the Trefftz method in different engineering optimization procedures, COMP. ASS. MECH. ENGNG SC., 8 (2001), 479-493
11.
Marek Karaś
Geometric degree of generically finite extensions, EFFECTIVE METHODS IN ALGEBRAIC AND ANALYTIC GEOMETRY, 2000 (Kraków). Univ. Iagel. Acta Math. No. 39 (2001), 147--151
10.
Marek Karaś
Finite extensions of mappings from a smooth variety, ANN. POLON. MATH. 75 (2000), no. 1, 79--86
9.
Marek Karaś, KaraśM.,ZielińskiA.P.
Parametric structural shape optimization using global Trefftz approach, J. THEORET. APPL. MECH. 38 no.2 (2000), 285-296
8.
Marek Karaś, KaraśM.
Elementary proof of finitely generateness of a subring of k[t], PROC. XXI CONFERENCE OF COMPLEX ALGEBRAIC AND ANALYTIC GEOMETRY, ŁÓDŻ, POLAND (2000), 13-16.
7.
Marek Karaś
Birational finite extensions, J. PURE APPL. ALGEBRA 148 (2000), no. 3, 251--253
6.
Marek Karaś
Geometric degree of finite extensions of projections, EFFECTIVE METHODS IN ALGEBRAIC AND ANALYTIC GEOMETRY (BIELSKO-BIA3A, 1997). Univ. Iagel. Acta Math. No. 37 (1999), 109--119
5.
Marek Karaś, SaneckiH.,ZielińskiA.P.,KaraśM.
Engineering optimization with different object functions - Trefftz approach, PROC. XIV PCCMM '99, RZESZÓW, POLAND (1999), 315-316.
4.
Marek Karaś, KaraśM.,ZielińskiA.P.
Shape optimization of helical spring cross-section by Trefftz approach, PROC. VII INT. CONF. “NUMERICAL METHODS IN CONTINUUM MECH.”, STARA LEŚNA, SLOVAK REPUBLIC (1998), 29-34.
3.
Marek Karaś, KaraśM.,ZielińskiA.P.
Application of Trefftz complete functional system to stress analysis in helical spring with an arbitrary wire cross-section, STROJ. CAS. (J. MECH. ENGNG.) 49 no. 6 (1998), 426-437
2.
Marek Karaś
An estimate of the geometric degree of an extension of some polynomial proper mappings, UNIV. IAGEL. ACTA MATH. no. 35 (1997), 131--135
1.
Marek Karaś
There is no tame automorphism of C^3 with multidegree (3,4,5), PROC. AMER. MATH. SOC. PROC. AMER. MATH. SOC. VOL. 139 (3) 2011, 769-775

Doktoranci (po 27 października 2003 roku)