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:

36.
Marcin Dumnicki, Tomasz Szemberg, Justyna Szpond
Waldschmidt constants in projective spaces, Journal of Algebra vol. 639 (2024), 1-22
35.
Marcin Dumnicki, Brian Harbourne, Joaquim Roe, Tomasz Szemberg, Halszka Tutaj-Gasińska
Unexpected surfaces singular on lines in P3, European Journal of Mathematics vol. 7 (2021), 570-590
34.
Marcin Dumnicki, Łucja Farnik, Brian Harbourne, Tomasz Szemberg, Halszka Tutaj-Gasińska
Veneroni maps, Proceedings of National School On Algebra, Constanta 2018. (2020), 14
33.
Marcin Dumnicki, Janusz Gwoździewicz, Justyna Szpond
An elementary, geometric proof of the nonexistence of a projective plane of order 6, Contributions to Discrete Mathematics vol. 15.1 (2020), 1-9
32.
Marcin Dumnicki, Łucja Farnik, Brian Harbourne, Grzegorz Malara, Justyna Szpond, Halszka Tutaj-Gasińska
A matrixwise approach to unexpected surfaces, Linear Algebra and Its Applications vol. 592 (2020), 113-133
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, Mediterranean Journal of Mathematics vol. 16 (2019), 1-15
30.
Marcin Dumnicki, Daniel Harrer, Justyna Szpond
On absolute linear Harbourne constants, Finite Fields and their Applications 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, Communications in Analysis and Geometry vol. 25, Number 1 (2017), 125-161
28.
Marcin Dumnicki, Halszka Tutaj-Gasińska
A containment result in $ P^n$ and the Chudnovsky Conjecture, Proceedings of the American Mathematical Society vol. 145 (2017), 3689–3694
27.
Marcin Dumnicki, Alex Kuronya, Catriona Maclean, Tomasz Szemberg
Seshadi constants via functions on Newton–Okounkov bodies, Mathematische Nachrichten 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, Advances in Mathematics vol. 303 (2016), 1162-1170
25.
Marcin Dumnicki, Łucja Farnik, Halszka Tutaj-Gasińska
Asymptotic Hilbert Polynomial and a bound for Waldschmidt constants, Electronic Research Announcements in Mathematical Sciences 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, Rendiconti del Seminario Matematico dell Universita di Padovo vol. 136 (2016), 191–203
23.
Marcin Dumnicki, Tomasz Szemberg, Halszka Tutaj-Gasińska
Symbolic powers of planar point configurations II, Journal of Pure and Applied 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, Journal of Algebra vol. 443 (2015), 383-394
20.
Marcin Dumnicki, Justyna Szpond, Halszka Tutaj-Gasińska
Asymptotic Hilbert polynomials and limiting shapes, Journal of Pure and Applied Algebra vol. 219.10 (2015), 4446-4457
19.
Marcin Dumnicki
Containments of symbolic powers of ideals of generic points in P^3, Proceedings of the American Mathematical Society vol. 142.2 (2015), 513-530
18.
Marcin Dumnicki, Tomasz Szemberg, Justyna Szpond, Halszka Tutaj-Gasińska
Symbolic generic initial systems of star configurations, Journal of Pure and Applied Algebra vol. 219 (2015), 1073-1081
17.
Marcin Dumnicki, Brian Harbourne, Tomasz Szemberg, Halszka Tutaj-Gasińska
Linear subspaces, symbolic powers and Nagata type conjectures, Advances in Mathematics 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, Journal of Pure and Applied 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 Journal of Computation and Mathematics vol. 16 (2013), 373 - 387
14.
Marcin Dumnicki, Tomasz Szemberg, Halszka Tutaj-Gasińska
Counterexamples to the I(3)⊂I2I(3)⊂I2 containment, Journal of Algebra vol. 393 (2013), 24-29
13.
Marcin Dumnicki, Tomasz Szemberg, Halszka Tutaj-Gasińska
New results on fat points schemes in P2 , Electronic Research Announcements in Mathematical Sciences vol. 20 (2013), 51-54
12.
Marcin Dumnicki, Tomasz Szemberg, Halszka Tutaj-Gasińska
Symbolic powers of planar point configurations, Journal of Pure and Applied Algebra vol. 217 (2013), 1026–1036
11.
Marcin Dumnicki
Symbolic powers of ideals of generic points in P^3, Journal of Pure and Applied 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, Annales Polonici Mathematici (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 $Bbb P^n$, Journal of Symbolic Computation 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, Applicable Algebra in Engineering, Communications and Computing 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

Konferencje organizowane:

Doktoranci (po 27 października 2003 roku)