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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Additive energy and sumsets

2012/07/B/ST1/03556

Keywords:

additive energy sumsets Balog-Szemeredi theorem

Descriptors:

  • ST1_3: Number theory
  • ST1_14: Discrete mathematics and combinatorics

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):

prof. Tomasz Schoen 

Number of co-investigators in the project: 1

Call: OPUS 4 - announced on 2012-09-15

Amount awarded: 169 500 PLN

Project start date (Y-m-d): 2013-07-05

Project end date (Y-m-d): 2016-07-04

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. drukarka obustronna ze skanerem. (1 000 PLN)
  2. komputer przenośny (6 000 PLN)

Information in the final report

  • Publication in academic press/journals (5)
  1. Roth's theorem for four variables and additive structures in sums of sparse sets
    Authors:
    Tomasz Schoen, Olof Sisask
    Academic press:
    Forum of Mathematics Sigma (rok: 2016, tom: 4, strony: 28), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/fms.2016.2 - link to the publication
  2. New bounds in Bolog-Szemeredi-Gowers theorem
    Authors:
    Tomasz Schoen
    Academic press:
    Combinatorica (rok: 2015, tom: October, strony: 695-701), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00493-014-3077-4 - link to the publication
  3. Additive dimension and a theorem of Sanders
    Authors:
    Tomasz Schoen, Ilya D. Shkredov
    Academic press:
    Journal of the Australian Mathematical Society (rok: 2016, tom: 100, strony: 124-144), Wydawca: Australian Mathematical Publishing Association Inc.
    Status:
    Published
    DOI:
    10.1017/S1446788715000324 - link to the publication
  4. A remark on A+B and A-A for compact sets in R^n
    Authors:
    Tomasz Schoen, Ilya D. Shkredov
    Academic press:
    INTEGERS: The Electronic Journal of Combinatorial Number Theory (rok: 2016, tom: 16, strony: 4), Wydawca: deGruyter
    Status:
    Published
    DOI:
    brak - link to the publication
  5. On convolutions of convex sets and related problems
    Authors:
    Tomasz Schoen
    Academic press:
    Canad. Math. Bull. (rok: 2014, tom: 57, strony: 877-883), Wydawca: Canadian Mathematical Society
    Status:
    Published
    DOI:
    10.4153/CMB-2013-041-8 - link to the publication

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