Le plongement caloisien à noyau d'ordre premier et ses applications à la construction d'extensions non abéliennes
L'équivalence rationnelle sur les tores.
Localization of the cohomology of a finite galois group in a Dedekind domain
Measure characteristics of complexes
Mild 2-relator pro--groups.
Normal Integral Bases and Embedding Problems.
On a generalization of Tate dualities with application to Iwasawa theory
On a Theorem of M. Deuring and I.R. Safarevic.
On algebraic tori of norm type.
On Artin-Verdier Duality for Function Fields.
On Demuskin groups with involution
On Galois groups of p-closed algebraic number fields with restricted ramification II.
On Galois groups of p-closed algebraic number fields with restricted ramification.
On Jannsen's conjecture for Hecke characters of imaginary quadratic fields.
We present a collection of results on a conjecture of Jannsen about the p-adic realizations associated to Hecke characters over an imaginary quadratic field K of class number 1.The conjecture is easy to check for Galois groups purely of local type (Section 1). In Section 2 we define the p-adic realizations associated to Hecke characters over K. We prove the conjecture under a geometric regularity condition for the imaginary quadratic field K at p, which is related to the property that a global Galois...
On knots in algebraic number theory.
On -Ranks in the Class Field Tower Problem
Much recent progress in the 2-class field tower problem revolves around demonstrating infinite such towers for fields – in particular, quadratic fields – whose class groups have large 4-ranks. Generalizing to all primes, we use Golod-Safarevic-type inequalities to analyse the source of the -rank of the class group as a quantity of relevance in the -class field tower problem. We also make significant partial progress toward demonstrating that all real quadratic number fields whose class groups...
On Solvable Number Fields.
On the Classification of Hermitian Forms.
On the cohomology of biquadratic extensions.
On the finiteness of for motives associated to modular forms.