Edit Profile Dumnicki, Marcin Compute Distance To: Compute Author ID: dumnicki.marcin Published as: Dumnicki, M.; Dumnicki, Marcin External Links: Wikidata Documents Indexed: 34 Publications since 2001 all top 5 Co-Authors 10 single-authored 17 Tutaj-Gasińska, Halszka 16 Szemberg, Tomasz 9 Szpond, Justyna 6 Harbourne, Brian 5 Farnik, Łucja 4 Küronya, Alex 4 Malara, Grzegorz 2 Gwoździewicz, Janusz 2 Lampa-Baczyńska, Magdalena 2 Maclean, Catriona 2 Roé, Joaquim 1 Baczyńska, Magdalena 1 Bauer, Thomas 1 Bocci, Cristiano 1 Cooper, Susan Marie 1 Czapliński, Adam 1 Di Rocco, Sandra 1 Główka, Agata 1 Habura, Agata 1 Harrer, Daniel 1 Jabbusch, Kelly 1 Jarnicki, Witold 1 Knutsen, Andreas Leopold 1 Miranda, Rick 1 Nagel, Uwe 1 Pokora, Piotr 1 Schenck, Hal 1 Seceleanu, Alexandra 1 Teitler, Zach 1 Zaman Fashami, Mohammad all top 5 Serials 6 Journal of Pure and Applied Algebra 2 Advances in Mathematics 2 Annales Polonici Mathematici 2 Geometriae Dedicata 2 Journal of Algebra 2 Proceedings of the American Mathematical Society 2 Journal of Symbolic Computation 2 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica 2 Electronic Research Announcements in Mathematical Sciences 1 Mathematische Nachrichten 1 Rendiconti del Seminario Matematico della Università di Padova 1 Linear Algebra and its Applications 1 Applicable Algebra in Engineering, Communication and Computing 1 Communications in Analysis and Geometry 1 Finite Fields and their Applications 1 LMS Journal of Computation and Mathematics 1 Mediterranean Journal of Mathematics 1 Contributions to Discrete Mathematics 1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica all top 5 Fields 31 Algebraic geometry (14-XX) 20 Commutative algebra (13-XX) 4 Combinatorics (05-XX) 3 Convex and discrete geometry (52-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 27 Publications have been cited 197 times in 110 Documents Cited by ▼ Year ▼ Counterexamples to the \(I^{(3)}\subset I^2\) containment. Zbl 1297.14008Dumnicki, Marcin; Szemberg, Tomasz; Tutaj-Gasińska, Halszka 26 2013 Resurgences for ideals of special point configurations in \(\mathbb P^N\) coming from hyperplane arrangements. Zbl 1329.13035Dumnicki, M.; Harbourne, B.; Nagel, U.; Seceleanu, A.; Szemberg, T.; Tutaj-Gasińska, H. 23 2015 Linear subspaces, symbolic powers and Nagata type conjectures. Zbl 1286.13002Dumnicki, Marcin; Harbourne, Brian; Szemberg, Tomasz; Tutaj-Gasińska, Halszka 23 2014 An algorithm to bound the regularity and nonemptiness of linear systems in \(\mathbb P^n\). Zbl 1205.14006Dumnicki, Marcin 13 2009 New effective bounds on the dimension of a linear system in \(\mathbb P^2\). Zbl 1126.14008Dumnicki, Marcin; Jarnicki, Witold 11 2007 Cutting diagram method for systems of plane curves with base points. Zbl 1107.14007Dumnicki, Marcin 10 2007 Symbolic powers of ideals of generic points in \(\mathbb P^3\). Zbl 1259.14036Dumnicki, Marcin 9 2012 Symbolic powers of planar point configurations. Zbl 1284.14012Dumnicki, M.; Szemberg, T.; Tutaj-Gasińska, H. 8 2013 A containment result in \(\mathbb P^n\) and the Chudnovsky conjecture. Zbl 1374.13005Dumnicki, Marcin; Tutaj-Gasińska, Halszka 7 2017 Symbolic powers of planar point configurations. II. Zbl 1330.14008Dumnicki, M.; Szemberg, T.; Tutaj-Gasińska, H. 7 2016 Containments of symbolic powers of ideals of generic points in \(\mathbb{P}^{3}\). Zbl 1342.14122Dumnicki, Marcin 7 2015 Recent developments and open problems in linear series. Zbl 1254.14001Bauer, Thomas; Bocci, Cristiano; Cooper, Susan; Di Rocco, Sandra; Dumnicki, Marcin; Harbourne, Brian; Jabbusch, Kelly; Knutsen, Andreas; Küronya, Alex; Miranda, Rick; Roé, Joaquim; Schenck, Hal; Szemberg, Tomasz; Teitler, Zach 7 2012 Points fattening on \(\mathbb P^1{\times}\mathbb P^1\) and symbolic powers of bi-homogeneous ideals. Zbl 1291.14015Baczyńska, Magdalena; Dumnicki, Marcin; Habura, Agata; Malara, Grzegorz; Pokora, Piotr; Szemberg, Tomasz; Szpond, Justyna; Tutaj-Gasińska, Halszka 6 2014 A vanishing theorem and symbolic powers of planar point ideals. Zbl 1319.14008Dumnicki, M.; Szemberg, T.; Tutaj-Gasińska, H. 6 2013 Symbolic generic initial systems of star configurations. Zbl 1317.14018Dumnicki, M.; Szemberg, T.; Szpond, J.; Tutaj-Gasińska, H. 5 2015 Special homogeneous linear systems on Hirzebruch surfaces. Zbl 1247.14037Dumnicki, Marcin 5 2010 On hypersurfaces in \(\mathbb P^3\) with fat points in general position. Zbl 1178.14054Dumnicki, Marcin 4 2008 Expected term bases for generic multivariate Hermite interpolation. Zbl 1124.41002Dumnicki, Marcin 4 2007 A matrixwise approach to unexpected hypersurfaces. Zbl 07188930Dumnicki, Marcin; Farnik, Łucja; Harbourne, Brian; Malara, Grzegorz; Szpond, Justyna; Tutaj-Gasińska, Halszka 2 2020 On absolute linear Harbourne constants. Zbl 1390.14027Dumnicki, M.; Harrer, D.; Szpond, J. 2 2018 Very general monomial valuations of \(\mathbb{P}^2\) and a Nagata-type conjecture. Zbl 1386.14038Dumnicki, Marcin; Harbourne, Brian; Küronya, Alex; Roé, Joaquim; Szemberg, Tomasz 2 2017 On the Sylvester-Gallai theorem for conics. Zbl 1408.52036Czapliński, Adam; Dumnicki, Marcin; Farnik, Łucja; Gwoździewicz, Janusz; Lampa-Baczyńska, Magdalena; Malara, Grzegorz; Szemberg, Tomasz; Szpond, Justyna; Tutaj-Gasińska, Halszka 2 2016 Seshadri constants via functions on Newton-Okounkov bodies. Zbl 1354.14013Dumnicki, M.; Küronya, A.; Maclean, C.; Szemberg, T. 2 2016 Rationality of Seshadri constants and the Segre-Harbourne-Gimigliano-Hirschowitz conjecture. Zbl 1347.14002Dumnicki, M.; Küronya, A.; Maclean, C.; Szemberg, T. 2 2016 Asymptotic Hilbert polynomials and limiting shapes. Zbl 1327.13099Dumnicki, Marcin; Szpond, Justyna; Tutaj-Gasińska, Halszka 2 2015 Lower bounds for Waldschmidt constants of generic lines in \({\mathbb {P}}^3\) and a Chudnovsky-type theorem. Zbl 1409.14088Dumnicki, Marcin; Zaman Fashami, Mohammad; Szpond, Justyna; Tutaj-Gasińska, Halszka 1 2019 Asymptotic Hilbert polynomial and a bound for Waldschmidt constants. Zbl 1350.13034Tutaj-Gasińska, Halszka; Farnik, Łucja; Dumnicki, Marcin 1 2016 A matrixwise approach to unexpected hypersurfaces. Zbl 07188930Dumnicki, Marcin; Farnik, Łucja; Harbourne, Brian; Malara, Grzegorz; Szpond, Justyna; Tutaj-Gasińska, Halszka 2 2020 Lower bounds for Waldschmidt constants of generic lines in \({\mathbb {P}}^3\) and a Chudnovsky-type theorem. Zbl 1409.14088Dumnicki, Marcin; Zaman Fashami, Mohammad; Szpond, Justyna; Tutaj-Gasińska, Halszka 1 2019 On absolute linear Harbourne constants. Zbl 1390.14027Dumnicki, M.; Harrer, D.; Szpond, J. 2 2018 A containment result in \(\mathbb P^n\) and the Chudnovsky conjecture. Zbl 1374.13005Dumnicki, Marcin; Tutaj-Gasińska, Halszka 7 2017 Very general monomial valuations of \(\mathbb{P}^2\) and a Nagata-type conjecture. Zbl 1386.14038Dumnicki, Marcin; Harbourne, Brian; Küronya, Alex; Roé, Joaquim; Szemberg, Tomasz 2 2017 Symbolic powers of planar point configurations. II. Zbl 1330.14008Dumnicki, M.; Szemberg, T.; Tutaj-Gasińska, H. 7 2016 On the Sylvester-Gallai theorem for conics. Zbl 1408.52036Czapliński, Adam; Dumnicki, Marcin; Farnik, Łucja; Gwoździewicz, Janusz; Lampa-Baczyńska, Magdalena; Malara, Grzegorz; Szemberg, Tomasz; Szpond, Justyna; Tutaj-Gasińska, Halszka 2 2016 Seshadri constants via functions on Newton-Okounkov bodies. Zbl 1354.14013Dumnicki, M.; Küronya, A.; Maclean, C.; Szemberg, T. 2 2016 Rationality of Seshadri constants and the Segre-Harbourne-Gimigliano-Hirschowitz conjecture. Zbl 1347.14002Dumnicki, M.; Küronya, A.; Maclean, C.; Szemberg, T. 2 2016 Asymptotic Hilbert polynomial and a bound for Waldschmidt constants. Zbl 1350.13034Tutaj-Gasińska, Halszka; Farnik, Łucja; Dumnicki, Marcin 1 2016 Resurgences for ideals of special point configurations in \(\mathbb P^N\) coming from hyperplane arrangements. Zbl 1329.13035Dumnicki, M.; Harbourne, B.; Nagel, U.; Seceleanu, A.; Szemberg, T.; Tutaj-Gasińska, H. 23 2015 Containments of symbolic powers of ideals of generic points in \(\mathbb{P}^{3}\). Zbl 1342.14122Dumnicki, Marcin 7 2015 Symbolic generic initial systems of star configurations. Zbl 1317.14018Dumnicki, M.; Szemberg, T.; Szpond, J.; Tutaj-Gasińska, H. 5 2015 Asymptotic Hilbert polynomials and limiting shapes. Zbl 1327.13099Dumnicki, Marcin; Szpond, Justyna; Tutaj-Gasińska, Halszka 2 2015 Linear subspaces, symbolic powers and Nagata type conjectures. Zbl 1286.13002Dumnicki, Marcin; Harbourne, Brian; Szemberg, Tomasz; Tutaj-Gasińska, Halszka 23 2014 Points fattening on \(\mathbb P^1{\times}\mathbb P^1\) and symbolic powers of bi-homogeneous ideals. Zbl 1291.14015Baczyńska, Magdalena; Dumnicki, Marcin; Habura, Agata; Malara, Grzegorz; Pokora, Piotr; Szemberg, Tomasz; Szpond, Justyna; Tutaj-Gasińska, Halszka 6 2014 Counterexamples to the \(I^{(3)}\subset I^2\) containment. Zbl 1297.14008Dumnicki, Marcin; Szemberg, Tomasz; Tutaj-Gasińska, Halszka 26 2013 Symbolic powers of planar point configurations. Zbl 1284.14012Dumnicki, M.; Szemberg, T.; Tutaj-Gasińska, H. 8 2013 A vanishing theorem and symbolic powers of planar point ideals. Zbl 1319.14008Dumnicki, M.; Szemberg, T.; Tutaj-Gasińska, H. 6 2013 Symbolic powers of ideals of generic points in \(\mathbb P^3\). Zbl 1259.14036Dumnicki, Marcin 9 2012 Recent developments and open problems in linear series. Zbl 1254.14001Bauer, Thomas; Bocci, Cristiano; Cooper, Susan; Di Rocco, Sandra; Dumnicki, Marcin; Harbourne, Brian; Jabbusch, Kelly; Knutsen, Andreas; Küronya, Alex; Miranda, Rick; Roé, Joaquim; Schenck, Hal; Szemberg, Tomasz; Teitler, Zach 7 2012 Special homogeneous linear systems on Hirzebruch surfaces. Zbl 1247.14037Dumnicki, Marcin 5 2010 An algorithm to bound the regularity and nonemptiness of linear systems in \(\mathbb P^n\). Zbl 1205.14006Dumnicki, Marcin 13 2009 On hypersurfaces in \(\mathbb P^3\) with fat points in general position. Zbl 1178.14054Dumnicki, Marcin 4 2008 New effective bounds on the dimension of a linear system in \(\mathbb P^2\). Zbl 1126.14008Dumnicki, Marcin; Jarnicki, Witold 11 2007 Cutting diagram method for systems of plane curves with base points. Zbl 1107.14007Dumnicki, Marcin 10 2007 Expected term bases for generic multivariate Hermite interpolation. Zbl 1124.41002Dumnicki, Marcin 4 2007 all cited Publications top 5 cited Publications all top 5 Cited by 131 Authors 17 Dumnicki, Marcin 15 Tutaj-Gasińska, Halszka 14 Harbourne, Brian 14 Szemberg, Tomasz 13 Szpond, Justyna 7 Malara, Grzegorz 7 Seceleanu, Alexandra 6 Guardo, Elena 6 Haghighi, Hassan 6 Lampa-Baczyńska, Magdalena 6 Nagel, Uwe 5 Farnik, Łucja 5 Migliore, Juan Carlos 5 Mosakhani, Mohammad 4 Cooper, Susan Marie 4 Pokora, Piotr 4 Van Tuyl, Adam 3 Geramita, Anthony Vito 3 Hanumanthu, Krishna 3 Janssen, Mike 3 Kabat, Jakub 3 Monserrat, Francisco 3 Roé, Joaquim 3 Shin, Yong Su 3 Zaman Fashami, Mohammad 2 Bauer, Thomas 2 Bocci, Cristiano 2 Brambilla, Maria Chiara 2 Catalisano, Maria Virginia 2 Ciliberto, Ciro 2 D’Cruz, Clare 2 Di Rocco, Sandra 2 Dumitrescu, Olivia 2 Eckl, Thomas 2 Fatabbi, Giuliana 2 Galindo Pastor, Carlos 2 Grifo, Eloísa 2 Hà, Huy Tài 2 Knutsen, Andreas Leopold 2 Küronya, Alex 2 Lorenzini, Anna 2 Mantero, Paolo 2 Miranda, Rick 2 Mirò-Roig, Rosa Maria 2 Moraga Saez, Joaquín Leonardo 2 Postinghel, Elisa 2 Ramos, Zaqueu 2 Simis, Aron 2 Walker, Robert M. 2 Xie, Yu 1 Akesseh, Solomon 1 Aladpoosh, Tahereh 1 Almeida, Charles 1 Andrade, Aline Vilela 1 Baczyńska, Magdalena 1 Bae, Daseul 1 Ballico, Edoardo 1 Boys, Thomas 1 Carlini, Enrico 1 Chang, Yulin 1 De Zeeuw, Frank 1 Dipasquale, Michael R. 1 Dorfmeister, Josef Gerhard 1 Drabkin, Ben 1 Embree, Robert J. D. 1 Favacchio, Giuseppe 1 Fouli, Louiza 1 Francisco, Christopher A. 1 Frías-Medina, Juan B. 1 Fröberg, Ralf 1 Galetto, Federico 1 Galuppi, Francesco 1 Gimigliano, Alessandro 1 Główka, Agata 1 Gu, Yan 1 Gwoździewicz, Janusz 1 Habura, Agata 1 Hao, Feng 1 Hejmej, Beata 1 Herscovici, Orli 1 Hoefel, Andrew H. 1 Huicochea, Mario 1 Huizenga, Jack 1 Jarnicki, Witold 1 Jow, Shin-Yao 1 Kalinin, Nikita Sergeevich 1 Kamp, Thomas 1 Kim, Taekyun 1 Laface, Antonio 1 Laface, Roberto 1 Lahyane, Mustapha 1 Lee, Kyungyong 1 Lesieutre, John 1 Li, Tian-Jun 1 Lozovanu, Victor 1 Lundman, Anders 1 Lundqvist, Samuel 1 Maclean, Catriona 1 Mandal, Mousumi 1 Mansour, Toufik ...and 31 more Authors all top 5 Cited in 41 Serials 23 Journal of Pure and Applied Algebra 10 Journal of Algebra 8 Proceedings of the American Mathematical Society 7 Transactions of the American Mathematical Society 6 Communications in Algebra 4 Geometriae Dedicata 3 Journal of Symbolic Computation 3 International Journal of Algebra and Computation 3 Journal of Algebra and its Applications 3 Electronic Research Announcements in Mathematical Sciences 2 Advances in Mathematics 2 Journal of Number Theory 2 Manuscripta Mathematica 2 Mathematische Nachrichten 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Journal of Algebraic Combinatorics 2 Journal of Algebraic Geometry 2 Revista Matemática Complutense 2 LMS Journal of Computation and Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Duke Mathematical Journal 1 Journal für die Reine und Angewandte Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Ricerche di Matematica 1 Bulletin of the Iranian Mathematical Society 1 Discrete & Computational Geometry 1 SIAM Journal on Discrete Mathematics 1 Forum Mathematicum 1 International Journal of Mathematics 1 Linear Algebra and its Applications 1 Experimental Mathematics 1 The Electronic Journal of Combinatorics 1 Selecta Mathematica. New Series 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Mediterranean Journal of Mathematics 1 Oberwolfach Reports 1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 1 The Journal of Software for Algebra and Geometry 1 Arnold Mathematical Journal 1 Open Mathematics all top 5 Cited in 10 Fields 97 Algebraic geometry (14-XX) 71 Commutative algebra (13-XX) 10 Convex and discrete geometry (52-XX) 9 Combinatorics (05-XX) 3 Number theory (11-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Differential geometry (53-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.