152 research outputs found
Computing endomorphism rings of abelian varieties of dimension two
Generalizing amethod of Sutherland and the author for elliptic curves [5, 1] we design a subexponential algorithm for computing the endomorphism rings of ordinary abelian varieties of dimension two over finite fields. Although its correctness and complexity analysis rest on several assumptions, we report on practical computations showing that it performs very well and can easily handle previously intractable cases. Note. Some results of this paper previously appeared in the author’s thesis [2]
Yenan, China, T. A. Bisson Speaking at Meeting
An image scanned from a black and white photograph with a handwritten caption on the back that reads, Yenan Meeting (3) author speaking. One in a series of photographs documenting a trip taken by Thomas Arthur Bisson and related to his subsequent publication, Yenan in June 1937: Talks with the Communist Leaders.https://digitalcommons.library.umaine.edu/spec_photos/3462/thumbnail.jp
Free Movement in the EU: Harmonisation of Mobile Citizens’ Social Rights
The author focuses on the current stagnation in negotiating process on the further improvement of supranational regulation on coordination of social security systems in the European Union. The article examines the basic principles of the free movement of workers in the EU and notes that the 2004/2007 EU enlargement has had a significant impact on the scale and direction of labour mobility within the Community. The analysis of the main indicators and characteristics of workers' mobility reveals the existing disparities between the Member States. The author points out that the divergence of national social security regimes, as well as diverging interests of individual EU Member States, such as protecting the rights of their own mobile citizens, or combating “social dumping”, play a key role in hindering the harmonization of social security rules in the context of freedom of movement. The concept of “failing forward” used for the study allowed to comprehend how social integration can be promoted when challenged by contradictions. The need to comply with the rules of the common internal market, on the one hand, and the interests of individual EU member states and their citizens, on the other, in a situation where the current legislation does not meet the challenges of the time, and the development of new legislation is constantly blocked, leads the EU institutions to intensify intergovernmental cooperation and resort to complementary mechanisms. The author concludes that the use of nonbinding regulatory instruments such as electronic data exchange serves as an intermediate link in the process of deepening integration in the area and may become an impetus for restarting negotiations and help finalise the text of the new legislation
Docteur! Comédie en un acte.
"Représentée pour la première fois, à Paris, sur le théâtre du Gymnase, le 24 août 1900."At head of title: Alexandre Bisson & Georges Thurner.Mode of access: Internet
Computing endomorphism rings of elliptic curves under the GRH
11 pages, 1 figureInternational audienceWe design a probabilistic algorithm for computing endomorphism rings of ordinary elliptic curves defined over finite fields that we prove has a subexponential runtime in the size of the base field, assuming solely the generalized Riemann hypothesis. Additionally, we improve the asymptotic complexity of previously known, heuristic, subexponential methods by describing a faster isogeny-computing routine
Comestible Edible : L'aliment comme matériau = Edible : Food as Material
"Diane Bisson presents her first book, a colourful and textured reflection on cooking and our dietary habits. In face of the proliferation of disposable containers and over-packaging, the author invites us to take up the challenge of transforming food into genuine design material. Flatware made of quinoa, plates for desert, biscuit drinking straws, 100% edible lunches: such are the author's objectives. Edible, Food as material presents the results of this playful yet scientific journey with a collection of magnificent photographs and over thirty food samples designed and developed by the author. Her research rests on a vision resolutely linked with sustainable development as it explores the concept of the edible plate as both cultural model and viable material for the reduction of waste. Edible, Food as material fuses art with science to present the possible scope of a future series of edible plates and containers." - Publisher's website
Computing endomorphism rings of elliptic curves under the GRH
We design a probabilistic algorithm for computing endomorphism rings of ordinary elliptic curves defined over finite fields that we prove has a subexponential runtime in the size of the base field, assuming solely the generalized Riemann hypothesis. Additionally, we improve the asymptotic complexity of previously known, heuristic, subexponential methods by describing a faster isogeny-computing routine.
Contributions aux aspects effectifs des variétés abéliennes et à leurs applications
Mémoire présenté à l'université de la Polynésie française en vue de l'obtention de l'habilitation à diriger les recherches, spécialité mathématiques. Soutenu publiquement le 19 juin 2023 devant le jury ci-après
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