Research & Publications
Books
3. A. Bandini - P. Gianni - E. Sbarra Commutative Algebra through Exercises (english)
Springer, UNITEXT Vol. 159 (2024)
avaliable at Springer website Book & E-book
2. A. Bandini - P. Gianni - E. Sbarra Esercizi di Algebra Commutativa (italian)
Pisa University Press (2022)
avaliable at PUP website Book E-book
1. Proceedings of the "Third Italian Number Theory Meeting" (Pisa, 21-24 September 2015)
A. Bandini - I. Del Corso Eds. Riv. Mat. Univ. Parma Vol. 7 - No. 1 (2016), 258 pp.
Research Interests
Number Theory - Iwasawa Theory - Elliptic Curves - Function fields - Drinfeld modular forms
Papers – Preprints – Work in Progress
The pdf files avaliable here are personal files (preprints mostly) and they may not coincide with the final published version
31. The algebra Zp [[ Zld ]] and application to Iwasawa theory,
(with I. Longhi) in progress, arXiv (2024).
30. Fourier coefficients and slopes of Drinfeld modular forms,
(with M. Valentino) Int. J. Number Theory 19 (10) (2023), 2523-2553. pdf
29. Hecke operators and Drinfeld cusp forms of level t,
(with M. Valentino) Bull. Austr. Math. Soc. 107 (2) (2023), 184-195. pdf
28. On the structure and slopes of Drinfeld cusp forms,
(with M. Valentino) Exp. Math. 31 (2) (2022), 637-651. pdf
27. Drinfeld cusp forms: oldforms and newforms,
(with M. Valentino) J. Number Theory 237 (2022), 124-144. pdf
26. Fitting ideals of class groups in Carlitz-Hayes cyclotomic extensions,
(with F. Bars and E. Coscelli) J. Number Theory 232 (2022), 261-282. pdf
25. Stickelberger series and Main Conjecture for function fields,
(with E. Coscelli) Publ. Mat. 65 (2) (2021), 459-498. pdf
24. Aspects of Iwasawa theory over function fields,
(with F. Bars and I. Longhi), in "t-Motives: Hodge structures, transcendence and other motivic aspects",
G. Böckle, D. Goss, U. Hartl, M.A. Papanikolas Eds., EMS Series of Congress Reports vol. 16 (2020), 375-416. pdf
23. Iwasawa Main Conjecture for the Carlitz cyclotomic extension and applications,
(with B. Anglés, F. Bars and I. Longhi) Math. Ann. 376 Issue 1-2 (2020), 475-523. pdf
22. On the Atkin Ut-operator for Γ0(t)-invariant Drinfeld cusp forms,
(with M. Valentino) Proc. Amer. Math. Soc. 147 (2019), 4171-4187. pdf
21. Euler characteristic and Akashi series for Selmer groups over global function fields,
(with M. Valentino) J. Number Theory 193 (2018), 213-234. pdf
20. On the Atkin Ut-operator for Γ1(t)-invariant Drinfeld cusp forms,
(with M. Valentino) Int. J. Number Theory 14 (2018), 2599–2616. pdf
19. Stabilization for Iwasawa modules in Zp-extensions,
(with F. Caldarola) Rend. Semin. Mat. Univ. Padova 136 (2016), 137-155. pdf
18. Fields generated by torsion points of elliptic curves,
(with L. Paladino) J. Number Theory 169 (2016), 103-133. pdf
17. Control theorems for l-adic Lie extensions of global function fields,
(with M. Valentino) Ann. Sc. Norm. Super. Pisa Cl. Sci. XIV (2015), no. 4, 1065-1092. pdf
16. Characteristic ideals and Selmer groups,
(with F. Bars and I. Longhi) J. Number Theory 157 (2015), 530-546. pdf
15. Stabilization in non-abelian Iwasawa theory,
(with F. Caldarola) Acta Arith. 169 (2015), no. 4, 319-329. pdf
14. On Selmer groups of abelian varieties over l-adic Lie extensions of global function fields,
(with M. Valentino) Bull. Braz. Math Soc. 45 (2014), no. 3, 575-595. pdf
13. Characteristic ideals and Iwasawa theory,
(with F. Bars and I. Longhi) New York J. Math. 20 (2014), 759-778. pdf
avaliable at http://nyjm.albany.edu/j/2014/20-38v.pdf
12. Number fields generated by the 3-torsion points of an elliptic curve,
(with L. Paladino) Monatsh. Math. 168 (2012), no. 2, 157-181. pdf
11. Selmer groups for elliptic curves in Zld-extensions of function fields of characteristic p,
(with I. Longhi) Ann. Inst. Fourier 59 (2009), no. 6, 2301-2327. 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
9. Control theorems for elliptic curves over function fields,
(with I. Longhi) Int. J. Number Theory 5 (2009), no. 2, 229-256. pdf
8. 3-Selmer groups for curves y2=x3+a,
Czechoslovak Math. J. 58 (2008), no. 2, 429-445. pdf
7. A note on p-ranks of class groups in Zp-extensions,
JP J. Algebra Number Theory Appl. 9 (2007), no. 1, 95-103. pdf
6. Greenberg's conjecture and capitulation in Zpd-extensions,
J. Number Theory 122 (2007), no. 1, 121-134. pdf
5. Greenberg's conjecture for multiple Zp-extensions,
Riv. Mat. Univ. Parma (Serie 7) 3* (2004), 151-158. pdf
4. Three-descent and the Birch and Swinnerton-Dyer conjecture,
Rocky Mountain J. Math. 34 (2004), no. 1, 13-27. pdf
3. Greenberg's conjecture for Zpd-extensions,
Acta Arith. 108 (2003), no. 4, 357-368. pdf
2. Functions f : Z/pn Z —> Z/pnZ induced by polynomials of Z[X],
Ann. Mat. Pura Appl. 181 (4) (2002), no. 1, 95-104. pdf
1. Extensions of the p-adic fields generated by the roots of a single polynomial in two variables,
Ann. Mat. Pura Appl. 175 (4) (1998), 223-232. pdf