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 properties of formal groups

2016/21/B/ST1/03084

Keywords:

formal group p-adic continuity Picard-Fuchs differential equation p-adic L-function

Descriptors:

  • ST1_3: Number theory

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 Mariia Vlasenko 

Number of co-investigators in the project: 4

Call: OPUS 11 - announced on 2016-03-15

Amount awarded: 154 200 PLN

Project start date (Y-m-d): 2017-03-02

Project end date (Y-m-d): 2021-03-01

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.

Equipment purchased [PL]

  1. laptrop (6 000 PLN)

Information in the final report

  • Publication in academic press/journals (5)
  • Articles in post-conference publications (2)
  1. Dwork crystals I
    Authors:
    Frits Beukers, Masha Vlasenko
    Academic press:
    International Mathematical Research Notices (rok: 2020, ), Wydawca: Oxford Academic
    Status:
    Published
    DOI:
    10.1093/imrn/rnaa119 - link to the publication
  2. Dwork crystals II
    Authors:
    Frits Beukers, Masha Vlasenko
    Academic press:
    International Mathematical Research Notices (rok: 2021, tom: 2021, strony: 4427--4444), Wydawca: Oxford Academic
    Status:
    Published
    DOI:
    10.1093/imrn/rnaa120 - link to the publication
  3. Gamma functions, monodromy and Frobenius constants
    Authors:
    Spencer Bloch, Masha Vlasenko
    Academic press:
    Communications in Number Theory and Physics (rok: 2021, tom: 15, strony: 91--147), Wydawca: International press
    Status:
    Published
    DOI:
    10.4310/CNTP.2021.v15.n1.a3 - link to the publication
  4. Higher Hasse--Witt matrices
    Authors:
    Masha Vlasenko
    Academic press:
    Indagationes Mathematicae (rok: 2018, tom: 29, strony: 1411--1424), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.indag.2018.07.004 - link to the publication
  5. Formal groups and congruences
    Authors:
    Masha Vlasenko
    Academic press:
    Transactions of the American Mathematical Society (rok: 2019, tom: 371, strony: 883--902), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/tran/7283 - link to the publication
  1. Hodge structures and differential operators
    Authors:
    Masha Vlasenko
    Conference:
    Transient Transcendence in Transylvania (rok: 2019, ), Wydawca: Springer
    Data:
    konferencja May 13-19
    Status:
    Published
  2. On p-adic unit-root formulas
    Authors:
    Masha Vlasenko
    Conference:
    Hypergeometric motives and Calabi--Yau differential equations (rok: 2017, ), Wydawca: Springer
    Data:
    konferencja 8-28 stycznia
    Status:
    Published
    DOI:
    link to the publication

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