C4-Extensions of Sn as Galois Groups.
Explicit solutions to embedding problems associated to orthogonal Galois representations.
Central extensions of the alternating group as Galois groups
Galois realization of central extensions of the symmetric group with kernel a cyclic 2-group
Galois representations, embedding problems and modular forms.
To an odd irreducible 2-dimensional complex linear representation of the absolute Galois group of the field Q of rational numbers, a modular form of weight 1 is associated (modulo Artin's conjecture on the L-series of the representation in the icosahedral case). In addition, linear liftings of 2-dimensional projective Galois representations are related to solutions of certain Galois embedding problems. In this paper we present some recent results on the existence of liftings of projective representations...
Differential Galois realization of double covers
An effective construction of homogeneous linear differential equations of order 2 with Galois group or is presented.
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