dr hab. Marcin Dumnicki

Jednostki:

  • Wydział Matematyki i Informatyki UJ
  • Instytut Matematyki
  • Katedra Geometrii Algebraicznej i Teorii Liczb

Doktorat  Otwarcie: 2004-06-24, Zamknięcie: 2005-06-23

Habilitacja  Otwarcie: 2015-06-25, Zamknięcie: 2016-02-25

Publikacje:

31.
Mohammad Zaman Fashami, Marcin Dumnicki, Justyna Szpond, Halszka Tutaj-Gasińska
Lower bounds for Waldschmidt constants of generic lines in P^3 and a Chudnovsky-type theorem, MEDITERR J MATH (2019),
30.
Marcin Dumnicki, Daniel Harrer, Justyna Szpond
On absolute linear Harbourne constants, FINITE FIELDS TH APP vol. 51 (2018), 371-387
29.
Marcin Dumnicki, Brian Harbourne, Alex Kuronya, Joaquim Roe, Tomasz Szemberg
Very general monomial valuations of P 2 and a Nagata type conjecture, COMMUN ANAL GEOM vol. 25, Number 1 (2017), 125-161
28.
Marcin Dumnicki, Halszka Tutaj-Gasińska
A containment result in $ P^n$ and the Chudnovsky Conjecture, P AM MATH SOC vol. 145 (2017), 3689–3694
27.
Marcin Dumnicki, Alex Kuronya, Catriona Maclean, Tomasz Szemberg
Seshadi constants via functions on Newton–Okounkov bodies, MATH NACHR vol. 289 (2016), 2173-2177
26.
Marcin Dumnicki, Alex Kuronya, Catriona Maclean, Tomasz Szemberg
Rationality of Seshadri constants and the Segre–Harbourne–Gimigliano–Hirschowitz conjecture, ADV MATH vol. 303 (2016), 1162-1170
25.
Marcin Dumnicki, Łucja Farnik, Halszka Tutaj-Gasińska
Asymptotic Hilbert Polynomial and a bound for Waldschmidt constants, ELECTRON RES ANNOUNC vol. 23 (2016), 8-18
24.
Adam Czapliński, Marcin Dumnicki, Łucja Farnik, Janusz Gwoździewicz, Magdalena Lampa-Baczyńska, Grzegorz Malara, Tomasz Szemberg, Justyna Szpond, Halszka Tutaj-Gasińska
On the Sylvester-Gallai theorem for conics, REND SEMIN MAT U PAD vol. 136 (2016), 191–203
23.
Marcin Dumnicki, Tomasz Szemberg, Halszka Tutaj-Gasińska
Symbolic powers of planar point configurations II, J PURE APPL ALGEBRA vol. 220 (2016), 2001-2016
22.
Marcin Dumnicki, Łucja Farnik, Agata Główka, Magdalena Lampa-Baczyńska, Grzegorz Malara, Tomasz Szemberg, Justyna Szpond, Halszka Tutaj-Gasińska
Line arrangements with the maximal number of triple points, GEOMETRIAE DEDICATA vol. 180(1) (2016), 69-83
21.
Marcin Dumnicki, Brian Harbourne, Uwe Nagel, Alexandra Secelenau, Tomasz Szemberg, Halszka Tutaj-Gasińska
Resurgences for ideals of special point configurations in P^N coming from hyperplane arrangements, J ALGEBRA vol. 443 (2015), 383-394
20.
Marcin Dumnicki, Justyna Szpond, Halszka Tutaj-Gasińska
Asymptotic Hilbert polynomials and limiting shapes, J PURE APPL ALGEBRA vol. 219.10 (2015), 4446-4457
19.
Marcin Dumnicki
Containments of symbolic powers of ideals of generic points in P^3, P AM MATH SOC vol. 142.2 (2015), 513-530
18.
Marcin Dumnicki, Tomasz Szemberg, Justyna Szpond, Halszka Tutaj-Gasińska
Symbolic generic initial systems of star configurations, J PURE APPL ALGEBRA vol. 219 (2015), 1073-1081
17.
Marcin Dumnicki, Brian Harbourne, Tomasz Szemberg, Halszka Tutaj-Gasińska
Linear subspaces, symbolic powers and Nagata type conjectures, ADV MATH vol. 252 (2014), 471-491
16.
Magdalena Baczyńska, Marcin Dumnicki, Agata Habura, Grzegorz Malara, Piotr Pokora, Tomasz Szemberg, Justyna Szpond, Halszka Tutaj-Gasińska
Points fattening on P^1 x P^1 and symbolic powers of bi-homogeneous ideals, J PURE APPL ALGEBRA vol. 218 (2014), 1555–1562
15.
Marcin Dumnicki, Tomasz Szemberg, Halszka Tutaj-Gasińska
A vanishing theorem and symbolic powers of planar point ideals, LMS J COMPUT MATH vol. 16 (2013), 373 - 387
14.
Marcin Dumnicki, Tomasz Szemberg, Halszka Tutaj-Gasińska
Counterexamples to the I(3)⊂I2I(3)⊂I2 containment, J ALGEBRA vol. 393 (2013), 24-29
13.
Marcin Dumnicki, Tomasz Szemberg, Halszka Tutaj-Gasińska
New results on fat points schemes in P2 , ELECTRON RES ANNOUNC vol. 20 (2013), 51-54
12.
Marcin Dumnicki, Tomasz Szemberg, Halszka Tutaj-Gasińska
Symbolic powers of planar point configurations, J PURE APPL ALGEBRA vol. 217 (2013), 1026–1036
11.
Marcin Dumnicki
Symbolic powers of ideals of generic points in P^3, J PURE APPL ALGEBRA vol. 216 (6) (2012), 1410-1417
10.
Marcin Dumnicki
Quasi-homogeneous linear systems on P^2 with base points of multiplicity 7, 8, 9, 10, ANN POL MATH (2011), 277-300
9.
Marcin Dumnicki
Special homogeneous linear systems on Hirzebruch surfaces, GEOMETRIAE DEDICATA vol. 147 (2010), 283-311
8.
Marcin Dumnicki
A combinatorial proof of non-speciality of systems with at most 9 imposed base points, ANNALES ACADEMIAE PAEDAGOGICAE CRACOVIENSIS STUDIA MATHEMATICA vol. 8 (2009), 79-90
7.
Marcin Dumnicki
An algorithm to bound the regularity and nonemptiness of linear systems in $Bbb P^n$, J SYMB COMPUT vol. 10 (2009), 1448-1462
6.
Marcin Dumnicki
On hypersurfaces in P3 with fat points in general position, UNIV. IAGEL. ACTA MATH. 46 (2008), 15-19
5.
Marcin Dumnicki
Expected term bases for generic multivariate Hermite interpolation, APPL ALGEBR ENG COMM vol. 18 (2007), 467-482
4.
Marcin Dumnicki, Witold Jarnicki
New effective bounds on the dimension of a linear system in $P2$, J. SYMBOLIC COMPUT. 42 (2007), 621-635
3.
Marcin Dumnicki
Reduction method for linear systems of plane curves with base points, ANN. POLON. MATH. 90.2 (2007), 131-143
2.
Marcin Dumnicki
A fibre criterion for a polynomial to belong to an ideal, UNIV. IAGEL. ACTA MATH. 39 (2001), 91-98
1.
Marcin Dumnicki, Tadeusz Winiarski
Bazy Grobnera - efektywne metody w układach równań wielomianowych, WYDAWNICTWO NAUKOWE AKADEMII PEDAGOGICZNEJ, KRAKÓW 2007

Doktoranci (po 27 października 2003 roku)