Research Interests

Number Theory  -  Iwasawa Theory  -  Elliptic Curves

Papers – Preprints – Work in Progress
 

1. Extensions of the p-adic fields generated by the roots of a single polynomial in two variables, Ann. Mat. Pura Appl. (4) 175 (1998), 223--232.

2. Functions f : Z/pⁿ Z --> Z/pⁿZ  induced by polynomials of Z[X], Ann. Mat. Pura Appl. (4) 181 (2002), no. 1, 95--104.

3. Greenberg's conjecture for Z_p^d-extensions, Acta Arith. 108 (2003), no. 4, 357--368.

4. Three-descent and the Birch and Swinnerton-Dyer conjecture, Rocky Mountain J. Math. 34 (2004), no. 1, 13--27.

5. Greenberg's conjecture for multiple Z_p-extensions, Riv. Mat. Univ. Parma (7) 3* (2004), 151--158.

6. Greenberg's conjecture and capitulation in Z_p^d-extensions, J. Number Theory 122 (2007), 121--134.

7. A note on p-ranks of class groups in Z_p-extensions, JP J. Algebra Number Theory Appl. 9 (2007), 95--103.

8. 3-Selmer groups for curves y²=x³+a, Czechoslovak Math. J. 58 (2008), 429--445.

9. Control theorems for elliptic curves over function fields, (with I. Longhi) Int. J. Number Theory 5 (2009), no. 2, 229--256. pdf 

10. Torsion points on elliptic curves over function fields and a theorem of Igusa, (with I. Longhi and S. Vigni) Expo. Math. 27 (2009), no. 3, 175--209. pdf

11. Selmer groups for elliptic curves in Z_l^d-extensions of function fields of characteristic p, (with I. Longhi) Ann. Inst. Fourier 59 (2009), no. 6, 2301--2327. pdf

12. Aspects of Iwasawa theory over function fields, (with F. Bars and I. Longhi). pdf