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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Modular forms and ranks of elliptic curves.

2012/05/N/ST1/02871

Keywords:

modular forms elliptic curves arithmetic geometry

Descriptors:

  • ST1_3: Number theory
  • ST1_2: Algebra
  • ST1_4: Algebraic and complex geometry

Panel:

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

Host institution :

Uniwersytet im. Adama Mickiewicza w Poznaniu, Wydział Matematyki i Informatyki

woj. wielkopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Bartosz Naskręcki 

Number of co-investigators in the project: 2

Call: PRELUDIUM 3 - announced on 2012-03-15

Amount awarded: 57 340 PLN

Project start date (Y-m-d): 2013-04-08

Project end date (Y-m-d): 2015-04-07

Project duration:: 24 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Sprzęt komputerowy (3 000 PLN)

Information in the final report

  • Publication in academic press/journals (2)
  • Articles in post-conference publications (1)
  1. Mordell–Weil ranks of families of elliptic curves associated to Pythagorean triples
    Authors:
    Bartosz Naskręcki
    Academic press:
    Acta Arithmetica (rok: 2013, tom: 160,2, strony: 159-183), Wydawca: POLISH ACAD SCIENCES INST MATHEMATICS
    Status:
    Published
    DOI:
    10.4064/aa160-2-5 - link to the publication
  2. Distribution of Mordell--Weil ranks of families of elliptic curves
    Authors:
    Bartosz Naskręcki
    Academic press:
    Banach Center Publications (rok: 2016, tom: 108, strony: 201-229), Wydawca: Institute of Mathematics, Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.4064/bc108-0-16 - link to the publication
  1. On Higher Congruences Between Cusp Forms and Eisenstein Series
    Authors:
    Bartosz Naskręcki
    Conference:
    Computations with Modular Forms 2011, Heidelberg (rok: 2014, ), Wydawca: Springer International Publishing
    Data:
    konferencja 05-08.09.2011
    Status:
    Published