Algebra and Number Theory Group: Home Page

Number Theory Group

Department of mathematics

of the University of Pisa


  • Algebraic number theory: algebraic extentions of Q. Galois groups of extensions of Q.
  • Diophantine approximation: Irrationality measures for classical constants related to hypergeometric functions. Number of solutions of some diophantine equations.
  • Arithmetic algebraic geometry: Algebraic curves and factorization problems for polynomials with integer coefficients.
  • Geometry of numbers: Symplexes and polytopes.
  • Elementary number theory: Practical numbers, Erdos's problems.
  • Theory of finite groups: theorems of existence of subgroups and properties of the factorization of the order of a finite group.