dr hab. Marek Karaś

Jednostki:

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

HabilitacjaOtwarcie: 2012-03-29, Zamknięcie: 2013-02-07

Publikacje:

32.
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
23.
Marek Karaś, KaraśM.
A note on triangular automorphisms, UNIV. IAGEL. ACTA MATH. 46 (2008) 71-74.
22.
Marek Karaś, KaraśM.,ZielińskiA.P.
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
18.
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.
Finite extensions of mappings of finite sets, BULL. POLISH ACAD. SCI. MATH. 50 (2002), no. 2, 237--239
12.
Marek Karaś, ZielińskiA.P.,SaneckiH.,KaraśM.
11.
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.
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.
Birational finite extensions, J. PURE APPL. ALGEBRA 148 (2000), no. 3, 251--253
6.
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.
1.
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)