Inria
Location
Talence, Gironde | France
Job description
The offer description be low is in French
Level of qualifications required : PhD or equivalent
Fonction : Post-Doctoral Research Visit
The Inria center at the University of Bordeaux is one of the nine Inria centers in France and has about twenty research teams.. The Inria centre is a major and recognized player in the field of digital sciences. It is at the heart of a rich R&D and innovation ecosystem: highly innovative SMEs, large industrial groups, competitiveness clusters, research and higher education players, laboratories of excellence, technological research institute...
The postdoc is funded by the PEPR PQ-TLS. whose goal is to integrate post-quantum cryptography on web navigators.
We have a months financing for a postdoc to work on isogeny based cryptography. The goal of this postdoc would be to look at the interaction between pairings and isogenies.
The research program will be to study isogeny based cryptosystems, and notably the interaction with pairings
A more detailed research program is as follow :
— Find algorithms to evaluate the Weil-Cartier pairing directly, without going back to the Weil
pairing ;
— Find algorithms to evaluate infinitesimal pairings and isogenies, using Dieudonné theory
and De Rham cohomology ;
— Study the arithmetic of the biextension associated to a fixed isogeny ;
— Investigate the use of pairings to climb up in isogeny volcanoes ;
— Compute class polynomial by defofrmation of isogenies ;
_ Extend the radical isogeny formulas from [CDHV22] to higher dimension ;
— Simplify the dimension 1 radical formulas by using the cubical torsor structure on an elliptic
curve ;
Références
[CDHV22] W. Castryck, T. Decru, M. Houben et F. Vercauteren. « Horizontal racewalking
using radical isogenies ». In : International Conference on the Theory and Application
of Cryptology and Information Security. Springer. 2022, p. 67-96 (cf. p. 1)
[CHVW22] W. Castryck, M. Houben, F. Vercauteren et B. Wesolowski. « On the decisional
Diffie–Hellman problem for class group actions on oriented elliptic curves ». In :
Research in Number Theory 8.4 (2022), p. 99 (cf. p. 1).
Scientific research.
Programming (Sage, Magma, Pari/GP)
Attending the PEPR meetings
Mathematics: number theory, algebraic geometry
Cryptography: isogeny based cryptography; elliptic curves and abelian varieties; pairings
Programming: Sage, Magma, Pari/GP
gross monthly salary : 2788€ (before social security charges and income tax deduction)
Warning : you must enter your e-mail address in order to save your application to Inria. Applications must be submitted online on the Inria website. Processing of applications sent from other channels is not guaranteed.
PLease send the following documents :
- CV
- Cover letter
- Support letters (mandatory)
- List of publication
Defence Security :
This position is likely to be situated in a restricted area (ZRR), as defined in Decree No. 2011-1425 relating to the protection of national scientific and technical potential (PPST).Authorisation to enter an area is granted by the director of the unit, following a favourable Ministerial decision, as defined in the decree of 3 July 2012 relating to the PPST. An unfavourable Ministerial decision in respect of a position situated in a ZRR would result in the cancellation of the appointment.
Recruitment Policy :
As part of its diversity policy, all Inria positions are accessible to people with disabilities.
Inria is the French national research institute dedicated to digital science and technology. It employs 2,600 people. Its 200 agile project teams, generally run jointly with academic partners, include more than 3,500 scientists and engineers working to meet the challenges of digital technology, often at the interface with other disciplines. The Institute also employs numerous talents in over forty different professions. 900 research support staff contribute to the preparation and development of scientific and entrepreneurial projects that have a worldwide impact.
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