Fields of research

Thue equations
 

Inhomogeneous Thue equations
 

Relative Thue equations
 

Infinite parametric families of parametric Thue equations
 

Norm form equations
 

Inhomogeneous norm form equations
 

Discriminant form equations
 

Index form equations
 

Power integral bases in algebraic number fields
 

Relative index form equations
 

Relative power integral bases in algebraic number fields
 

Constructive methods for the complete resolution of diophantine equations