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Information on the principal investigator and host institution

Information of the project and the call

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Bi-Lipschitz geometry and stability of of global polynomial mappings.

2019/33/B/ST1/00755

Keywords:

polynomial mappings singularities of polynomial mappings stability of polynomial mappings extension of bi-Lipschitz mappings semialgebraic sets bi-Lipschitz geometry

Descriptors:

  • ST1_004:
  • ST1_005:
  • ST1_006:

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Instytut Matematyczny Polskiej Akademii Nauk

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Zbigniew Tadeusz Jelonek 

Number of co-investigators in the project: 4

Call: OPUS 17 - announced on 2019-03-15

Amount awarded: 315 800 PLN

Project start date (Y-m-d): 2020-01-30

Project end date (Y-m-d): 2024-01-29

Project duration:: 48 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Publication in academic press/journals (15)
  1. On the extension of bi-Lipschitz mappings
    Authors:
    Lev Birbrair, Alexander Fernandes, Zbigniew Jelonek
    Academic press:
    Selecta Mathematica (tom: 27, strony: )
    Status:
    Accepted for publication
    DOI:
    10.1007/s00029-021-00625-6 - link to the publication
  2. On the extension of bi-Lipschitz mappings
    Authors:
    Lev Birbrair, Alexander Fernandes, Zbigniew Jelonek
    Academic press:
    Selecta Mathematica (rok: 2021, tom: 27, 15, strony: 45680), Wydawca: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00029-021-00625-6 - link to the publication
  3. On quadratic polynomial mappings from C3 to C2
    Authors:
    Michał Farnik
    Academic press:
    arxiv.org (rok: 2023, tom: x, strony: 12420), Wydawca: Cornell University
    Status:
    Submitted
    DOI:
    link to the publication
  4. Bi-Lipschitz equivalent cones with different degrees
    Authors:
    A. Fernandes, Z. Jelonek, J. E. Sampaio
    Academic press:
    Adv. in Math. (rok: 1111, tom: 1, strony: 45687), Wydawca: Elsevier
    Status:
    Submitted
  5. On Generic Topological Type of Complex Plane Polynomial Mappings
    Authors:
    Michał Farnik, Zbigniew Jelonek
    Academic press:
    International Mathematics Research Notices,
    Status:
    Accepted for publication
    DOI:
    10.1093/imrn/rnab228 - link to the publication
  6. On the Fukui–Kurdyka–Paunescu conjecture
    Authors:
    Alexandre Fernandes , Zbigniew Jelonek and José Edson Sampaio
    Academic press:
    Compositio Mathematica (rok: 2022, tom: Volume 158 , Issue 6 ,, strony: 1298 - 1313), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1112/S0010437X22007631 - link to the publication
  7. On Generic Topological Type of Complex Plane Polynomial Mappings
    Authors:
    Michał Farnik, Zbigniew Jelonek
    Academic press:
    International Mathematics Research Notices, (rok: 2022, tom: Volume 2022, Issue 22, strony: 17976–17998), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1093/imrn/rnab228 - link to the publication
  8. Generic symmetry defect set of an algebraic curve
    Authors:
    L.R.G. Dias, M. Farnik, Z. Jelonek
    Academic press:
    xxx (rok: 1111, tom: 1, strony: 45669), Wydawca: xxx
    Status:
    Submitted
  9. On algebraic bi-Lipschitz homeomorphisms
    Authors:
    Zbigniew Jelonek
    Academic press:
    Proc. AMS (rok: 2024, tom: 1, strony: 45664), Wydawca: AMS
    Status:
    Accepted for publication
  10. On Generic Topological Type of Complex Plane Polynomial Mappings
    Authors:
    Michał Farnik, Zbigniew Jelonek
    Academic press:
    International Mathematics Research Notices,
    Status:
    Accepted for publication
    DOI:
    10.1093/imrn/rnab228 - link to the publication
  11. Generic symmetry defect set of an algebraic curve
    Authors:
    L.R.G. Dias, M. Farnik, Z. Jelonek
    Academic press:
    Proc. AMS (rok: 2024, tom: 1, strony: 45669), Wydawca: AMS
    Status:
    Accepted for publication
  12. On algebraic bi-Lipschitz homeomorphisms
    Authors:
    Zbigniew Jelonek
    Academic press:
    Proc. AMS (rok: 2024, tom: 1, strony: 45664), Wydawca: AMS
    Status:
    Accepted for publication
  13. Bi-Lipschitz Characterization of Space Curves
    Authors:
    Alexandre Fernandes , Zbigniew Jelonek
    Academic press:
    Boletim da Sociedade Brasileira de Matemática (rok: 2023, tom: 54, strony: 29/1-6), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00574-023-00348-6 - link to the publication
  14. On the Fukui–Kurdyka–Paunescu conjecture
    Authors:
    Alexandre Fernandes , Zbigniew Jelonek and José Edson Sampaio
    Academic press:
    Compositio Mathematica (rok: 2022, tom: Volume 158 , Issue 6 ,, strony: 1298 - 1313), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1112/S0010437X22007631 - link to the publication
  15. On the extension of bi-Lipschitz mappings
    Authors:
    Lev Birbrair, Alexander Fernandes, Zbigniew Jelonek
    Academic press:
    Selecta Mathematica (tom: 27, strony: )
    Status:
    Accepted for publication
    DOI:
    10.1007/s00029-021-00625-6 - link to the publication

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