Opendata, web and dolomites


Galois Representations and Diophantine Problems

Total Cost €


EC-Contrib. €






 GalRepsDiophantine project word cloud

Explore the words cloud of the GalRepsDiophantine project. It provides you a very rough idea of what is the project "GalRepsDiophantine" about.

modularity    prove    flexibility    published    diophantine    theory    gl2    replacement    luis    undergraduate    expert    envisioned    last    jose    first    germany    lisbon    varieties    independent    obstruction    frequent    awarded    spanish    phd    2014    immense    irreducibility    columbia    solution    track    prestigious    fermat    successful    environment    siksek    adjacent    papers    de    galois    professor    frey    fellow    theorem    record    postdoctoral    ambition    curve    elliptic    francia    subjects    equations    supervisor    excellent    considerable    tools    host    12    associates    mathematical    rational    students    remarkable    realize    university    tremendous    accepted    curves    he    british    concerned    paved    influential    theorems    prize    supervising    reintegrate    bayreuth    representations    dr    warwick    equation    wiles    distinguishing    vancouver    postdocs    journals    researcher    bonn    ten    active    rubio    putative    did    giving    abelian    points    society    eight    group    barcelona    almost    freitas    modular    worked    natural    proof   

Project "GalRepsDiophantine" data sheet

The following table provides information about the project.


Organization address
address: Kirby Corner Road - University House
postcode: CV4 8UW

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country United Kingdom [UK]
 Project website
 Total cost 183˙454 €
 EC max contribution 183˙454 € (100%)
 Programme 1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
 Code Call H2020-MSCA-IF-2016
 Funding Scheme MSCA-IF-EF-ST
 Starting year 2018
 Duration (year-month-day) from 2018-03-01   to  2020-02-29


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    THE UNIVERSITY OF WARWICK UK (COVENTRY) coordinator 183˙454.00


 Project objective

Wiles' remarkable proof of Fermat's Last Theorem paved the way for the modular approach to Diophantine equations. This associates a Frey elliptic curve to a putative solution of a Diophantine equation and studies it using Galois representations and modularity. This proposal is organized around two research programmes, both of which develop new tools for the modular approach. The first is concerned with distinguishing Galois representations; this is currently the most frequent obstruction to the success of the approach. The second aims to prove modularity and irreducibility theorems for abelian varieties of GL2 type. Such theorems are of tremendous independent interest, but will also allow the replacement of Frey elliptic curves with Frey abelian varieties giving the modular approach immense flexibility.

The University of Warwick has a strong and active number theory group, making it a natural host for the project. The Supervisor, Professor Siksek, is a leading expert on curves, rational points, Diophantine equations and modularity, with considerable experience in supervising research including eight postdocs and ten completed PhD students.

The Researcher, Dr Freitas, did his undergraduate studies in Lisbon, and his PhD at the University of Barcelona. He has worked for almost three years in Germany (Bonn and Bayreuth), and is now a postdoctoral fellow at the University of British Columbia (Vancouver). He has a successful track record of research in modularity and Diophantine equations, with 12 papers already published or accepted in excellent journals. He was awarded the prestigious 2014 Jose Luis Rubio de Francia prize by the Spanish Mathematical Society. The envisioned research will make the Researcher influential in Diophantine equations and adjacent subjects. The project will reintegrate him into the European research environment, and allow him to realize his ambition of becoming an independent researcher at a leading European institution.

Are you the coordinator (or a participant) of this project? Plaese send me more information about the "GALREPSDIOPHANTINE" project.

For instance: the website url (it has not provided by EU-opendata yet), the logo, a more detailed description of the project (in plain text as a rtf file or a word file), some pictures (as picture files, not embedded into any word file), twitter account, linkedin page, etc.

Send me an  email ( and I put them in your project's page as son as possible.

Thanks. And then put a link of this page into your project's website.

The information about "GALREPSDIOPHANTINE" are provided by the European Opendata Portal: CORDIS opendata.

More projects from the same programme (H2020-EU.1.3.2.)

PopulistFP (2019)

The Populist Politics of Foreign Policy

Read More  

SIMIS (2020)

Strongly Interacting Mass Imbalanced Superfluid with ultracold fermions

Read More  

E-CLIPS (2019)

Effects of Cross-Linguistic Interactions on Perception of Speech

Read More