Publications
Publications
Here you find my publications, in reverse chronological order.
14. Elliptic curves over Hasse pairs, with E. Agathocleous and A. Joux, with an Appendix by P. Moree and E. Sofos,
J. Number Theory, vol. 278, 2026, pp. 924-952.
13. First-degree prime ideals of composite extensions, with G. Santilli.
J. Math. Cryptol., vol. 19, No. 1, 2025.
12. On schemes evinced by generalized additive decompositions and their regularity, with A. Bernardi and A. Oneto.
J. Math. Pures Appl., vol. 188, 2024, pp. 446-469.
11. Group structure of elliptic curves over Z/NZ, with M. Sala.
J. Math. Cryptol., vol. 18, No. 1, 2024.
10. Multiplication polynomials for elliptic curves over finite local rings, with R. Invernizzi.
ACM Int. Conf. Proceeding Ser. (ISSAC 2023), 2023, pp. 335-344.
9. Elliptic Loops, with M. Sala.
J. Pure Appl. Algebra, vol. 227, No. 12, 2023.
8. A survey on the group of points arising from elliptic curves with a Weierstrass model over a ring, with M. Sala.
Int. J. Group Theory, vol. 12, No. 3, 2023, pp. 177-196.
7. A small subgroup attack on Bitcoin address generation, with M. Sala and D. Sogiorno.
Mathematics, vol. 8, No. 10, 2020.
6. First-Degree Prime Ideals of Biquadratic Fields Dividing Prescribed Principal Ideals, with G. Santilli.
Mathematics, vol. 8, No. 9, 2020.
5. A New ECDLP-Based PoW Model, with A. Meneghetti and M. Sala.
Mathematics, vol. 8, No. 8, 2020.
4. Waring, tangential and cactus decompositions, with A. Bernardi.
J. Math. Pures Appl., vol. 143, 2020, pp. 1-30.
3. A Note on an ECDLP-based PoW Model, with A. Meneghetti and M. Sala.
CEUR Proceedings (DLT 2020), 2020.
2. A survey on PoW-based consensus, with A. Meneghetti and M. Sala.
AETiC, vol. 4, No. 1, 2020, pp. 8-18.
1. A survey on efficient parallelization of blockchain-based smart contracts, with A. Meneghetti, T. Parise, and M. Sala.
AETiC, vol. 3, No. 5, 2019, pp. 9-16.
The following are my current preprints.
4. Determinantal computation of minimal local GADs, with O. Reig Fité.
3. Generalized Additive Decompositions of Symmetric Tensors, with E. Barrilli and B. Mourrain.
2. The Hessian of elliptic curves, with M. Mula and F. Pintore.
1. Normal and Pseudonormal numbers, with N. Cangiotti.
A selection of short contributions to various volumes is listed below.
4. Elliptic loops, with M. Sala,
To appear in Cento Tesi di Crittografia e Codici in Italia: 2017-2024.
3. Hessians of elliptic curves: isogenies and graphs, with M. Mula and F. Pintore,
in CIFRIS24 ACTA, De Cifris Koine, vol. 5, 2025, pp. 124-126.
2. First-degree prime ideals of composite extensions, with G. Santilli,
in CIFRIS24 ACTA, De Cifris Koine, vol. 5, 2025, pp. 44-46.
1. The group structure of elliptic curves over Z/NZ, with M. Sala,
in CIFRIS23 ACTA, De Cifris Koine, vol. 1, 2024, pp. 36-38.