Publications

Piotr Mormul

Number of publications: 37

2023

• Piotr Mormul , Singularity classes of special multi-flags, I, Proceedings of the International Geometry Center, 16 (2) 2023, p. 142-160. See in PBN

2022

• Piotr Mormul , Monster towers from differential and algebraic viewpoints, Journal of Singularities, 25 2022, p. 331 - 347. See in PBN

2020

• Piotr Mormul , Fernand Pelletier, Symmetries of special 2-flags, Journal of Singularities, 21 2020, p. 187-204. See in PBN

2019

• Piotr Mormul , Articulated arms in the 3D space and the local nilpotentizability of the underlyig rank-3 distribution, XIII Vserossijskoe Soveŝanie po Problemam Uravleniâ, Moskva, the Russian Federation, 17 June 2019 - 20 June 2019. See in PBN

2014

• Piotr Mormul , A single nilpotent approximation for a family of nonequivalent distributions, Journal of Mathematical Sciences: Advances and Applications, 26 2014, p. 1-27. See in PBN
• Piotr Mormul , Car + trailers' kinematical systems, and the local nilpotentizability of the underlying rank-2 distributions, XII Vserossijskoe Soveschanije po Problemam Upravlenija, Moskwa, the Russian Federation, 16 June 2014 - 19 June 2014. See in PBN

2009

• Piotr Mormul , Singularity classes of special 2-flags, Symmetry, Integrability and Geometry - Methods and Applications, 2009. See in PBN

2005

• Piotr Mormul , Kumpera-Ruiz algebras in Goursat flags are optimal in small lengths, Journal of Mathematical Sciences, 2005. See in PBN
• Piotr Mormul , Real moduli in local classification of Goursat flags, Hokkaido Mathematical Journal, 34 (1) 2005, p. 1-35. See in PBN
• Piotr Mormul , Special 2-flags, singularity classes, and polynomial normal forms for them, 2005. See in PBN

2004

• Piotr Mormul , Geometric classes of Goursat flags and the arithmetics of their encoding by small growth vectors, Central European Journal of Mathematics, 2 (5) 2004, p. 859-883. See in PBN
• Piotr Mormul , Minimal nilpotent bases for Goursat distributions of coranks not exceeding six, ZESZYTY NAUKOWE UNIWERSYTETU JAGIELLOŃSKIEGO, SERIA: ACTA MATHEMATICA, 2004. See in PBN
• Piotr Mormul , Multi-dimensional Cartan prolongation and special k-flags, BANACH CENTER PUBLICATIONS, 2004. See in PBN

2002

• Piotr Mormul , Discrete models of codimension-two singularities of Goursat flags of arbitrary length with one flag's member in singular position, Proceedings of the Steklov Institute of Mathematics, 2002. See in PBN
• Piotr Mormul , Superfixed positions in the geometry of Goursat flags, ZESZYTY NAUKOWE UNIWERSYTETU JAGIELLOŃSKIEGO, SERIA: ACTA MATHEMATICA, 2002. See in PBN

2000

• Piotr Mormul , Contact hamiltonians distinguishing locally certain Goursat systems, BANACH CENTER PUBLICATIONS, 2000. See in PBN
• Piotr Mormul , Examples of exotic moduli in local classification of Goursat flags, ZESZYTY NAUKOWE UNIWERSYTETU JAGIELLOŃSKIEGO, SERIA: ACTA MATHEMATICA, 2000. See in PBN
• Piotr Mormul , Goursat flags: classification of codimension-one singularities, Journal of Dynamical and Control Systems, 2000. See in PBN
• Piotr Mormul , The strange nongenericness of codimension 1 differential systems in dimension 4 revisited, Bulletin of the Polish Academy of Sciences. Mathematics, 2000. See in PBN

1999

• Mohamad Cheaito, Piotr Mormul , Rank-2 distributions satisfying the Goursat condition: all their local models in dimension 7 and 8, ESAIM - Control, Optimisation and Calculus of Variations, 4 1999, p. 137-158. See in PBN

1998

• Mohamad Cheaito, Piotr Mormul , William Pasillas-Lepine, Witold Respondek, On local classification of Goursat structures, Comptes Rendus de l'Academie des Sciences Series I Mathematics, 1998. See in PBN

1997

• Piotr Mormul , Fernand Pelletier, Contrôlabilité complète par courbes anormales par morceaux d'une distribution de rang 3 générique sur des variétés connexes de dimension 5 et 6, Bulletin of the Polish Academy of Sciences. Mathematics, 45 (4) 1997, p. 399-418. See in PBN

1996

• Piotr Mormul , Fernand Pelletier, Contrôlabilité par des courbes anormales des distributions de rang 3 sur les variétés de dimension 5 et 6, Comptes Rendus de l'Academie des Sciences Series I Mathematics, 322 1996, p. 865-868. See in PBN
• Piotr Mormul , Michail Zhitomirskii, Modules of vector fields, differential forms, and degenerations of differential systems, Israel Journal of Mathematics, 1996. See in PBN

1994

• Piotr Mormul , Michail Zhitomirskii, The structure of the set of singular points of a codimension 1 differential system on a 5-manifold, Transactions of the American Mathematical Society, 342 (2) 1994, p. 619 - 629. See in PBN

1988

• Piotr Mormul , Singularities of triples of vector fields on $R^4$: the focusing stratum, Studia Mathematica, 91 1988, p. 241 - 273. See in PBN

1983

• Piotr Mormul , Singularities of triples of vector fields on $R^4$, Bulletin of the Polish Academy of Sciences. Mathematics, 31 (1-2) 1983, p. 41 - 49. See in PBN

Others

• Piotr Mormul , A journey beyond the nilpotent flatness of the Goursat structures, Deepening and Evolution of Applied Singularity Theory, , p. 403-424. See in PBN
• Piotr Mormul , Fernand Pelletier, Controlabilite par courbes par morceaux anormales et lisses d'une distribution de rang 3 generique sur des varietes connexes de dimension superieure a 6, Singularites et Geometrie sous-riemannienne. Colloque international LAMA (Chambery- Universite de Savoie) 8-10 octobre 1997, , p. 123-135. See in PBN
• Piotr Mormul , Do moduli of Goursat distributions appear on the level of nilpotent approximations?, Real and Complex Singularities: São Carlos Workshop 2004, , p. 229-246. See in PBN
• Piotr Mormul , Exotic moduli of Goursat distributions exist already in codimension three, Real and Complex Singularities, Contemporary Mathematics 459. See in PBN
• Robert Roussarie, Piotr Mormul , Geometry of Triples of Vector Fields in R4, Singularities and Dynamical Systems, , p. 89-98. See in PBN
• Piotr Mormul , Goursat distributions not strongly nilpotent in dimensions not exceeding seven, Nonlinear and Adaptive Control : NCN4 2001, , p. 249-261. See in PBN
• Piotr Mormul , Local classification of rank-2 distributions satisfying the Goursat condition in dimension 9, Singularites et Geometrie sous-riemannienne. Colloque international LAMA (Chambery- Universite de Savoie) 8-10 octobre 1997, , p. 89 - 119. See in PBN
• Wojciech Domitrz, Piotr Mormul , Piotr Pragacz, Order of Tangency Between Manifolds, Schubert Calculus and Its Applications in Combinatorics and Representation Theory, , p. 27-42. See in PBN
• Piotr Mormul , Small growth vectors of the compactifications of the contact systems on J r (1,1), Real and Complex Singularities, , p. 123 - 141. See in PBN
• Piotr Mormul , Valuations, and moduli of Goursat distributions, Singularity Theory and Its Application, , p. 251-270. See in PBN