Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Arithmetic of differential equations

2020/39/B/ST1/00940

Keywords:

differential equations with regular singularities periods p-adic Frobenius structure

Descriptors:

  • ST1_003:

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):

dr hab. Mariia Vlasenko 

Number of co-investigators in the project: 3

Call: OPUS 20 - announced on 2020-09-15

Amount awarded: 367 200 PLN

Project start date (Y-m-d): 2021-06-15

Project end date (Y-m-d): 2025-06-14

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

Project status: Project completed

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 (3)
  1. Dwork Crystals III: From Excellent Frobenius Lifts Towards Supercongruences
    Authors:
    Frits Beukers, Masha Vlasenko
    Academic press:
    International Mathematics Research Notices (rok: 2023, tom: 23 (2023), strony: 20433-20483), Wydawca: OUP
    Status:
    Published
    DOI:
    10.1093/imrn/rnad101 - link to the publication
  2. On p-integrality of instanton numbers
    Authors:
    Frits Beukers, Masha Vlasenko
    Academic press:
    Pure and Applied Mathematics Quarterly (rok: 2023, tom: 19 (2023), volume 1, strony: 16254), Wydawca: International press of Boston
    Status:
    Published
    DOI:
    10.48550/arXiv.2109.10427 - link to the publication
  3. Frobenius constants for families of elliptic curves
    Authors:
    Bidisha Roy, Masha Vlasenko
    Academic press:
    The Quarterly Journal of Mathematics (rok: 2023, tom: 74 (2023), issue 4, strony: 1571-1595), Wydawca: OUP
    Status:
    Published
    DOI:
    10.1093/qmath/haad034 - link to the publication