29 citations · 72 across the 19 of their papers we have counts for
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The Thurston's program derived from the Langlands global program with singularities
Christian Pierre
The seven non euclidean geometries of the Thurston's geometrization program are proved to originate naturally from singularization morphisms and versal deformations on euclidean 3-…
Algebraic representations of von Neumann algebras
Christian Pierre
An algebraic extended bilinear Hilbert semispace is proposed as being the natural representation space for the algebras of von Neumann.This bilinear Hilbert semispace has a well de…
The Langlands functoriality conjecture in the bisemialgebra framework
Christian Pierre
The Langlands functoriality conjecture envisaged in the bisemialgebra framework is proved to correspond to the nonorthogonal completely reducible cuspidal representations of the bi…
From global class field concepts and modular representations to the conjectures of Shimura-Taniyama-Weil,Birch-Swinnerton-Dyer and Riemann
Christian Pierre
Based upon new global class field concepts leading to Langlands two-dimensional global correspondences,a modular representation of cusp forms is proposed in terms of global ellipti…
Brane and string field structure of elementary particles
Christian Pierre
The two quantizations of QFT,as well as the attempt of unifying it with general relativity,lead us to consider that the internal structure of an elementary fermion must be twofold…
Quantized gravito-electro-magnetic interactions of bilinear type
Christian Pierre
The interactions inside the (bisemi)particles are envisaged from two points of view: The first approach, based on the reducible representations of algebraic bilinear semigroups, al…