The algebraic groups leading to the Roth inequalities
We determine the algebraic groups which have a close relation to the Roth inequalities.
The critical determinant of the double paraboloid and Diophantine approximation in and .
The distribution of rational points close to a smooth manifold and Hausdorff dimension
The Hausdorff dimension of certain sets arising from Diophantine approximation by restricted sequences of integer vectors
The Hausdorff dimension of systems of linear forms
The quantitative subspace theorem for number fields
The subspace theorem and applications.
Transendenceand algebraic independence of Liouville-like numbers