What are the statistical laws governing arithmetic objects? What is the behavior of Galois groups of iterated polynomials?
Carlo Pagano
- Assistant Professor
- Department of Mathematics and Statistics
- algebraic number theory3
- analytic number theory2
- elliptic curves3
- rank of elliptic curves2
- arithmetic statistics
- arithmetic dynamics
- sphere packings
- rational points
- counting number fields
- Galois groups in arithmetic
- Cohen-Lenstra heuristics2
- unit equations
- arithmetic of local fields
- L-functions3
- zeroes of L-functions2
- Brauer-Manin obstruction