papers and preprints
(almost) all my work is available on arxiv
if you would like the official version of some paper, please
get in touch and I will be happy to send it
53. Sum-rank metric codes (with U. Martínez-Peñas and F.
Salizzoni),
VIASM Series, Springer Lecture Notes in Mathematics, submitted
52. Generalized column distances (with F. Salizzoni),
submitted
51. MacWilliams’ Extension Theorem for rank-metric codes
(with F. Salizzoni),
submitted
50. Generalized weights of convolutional codes (with F.
Salizzoni),
submitted
49.
Quasi optimal anticodes: structure and invariants (with C.
Landolina),
Designs, Codes and Cryptography (2023)
48. Generalized weights of codes over rings and invariants of
monomial ideals (with A. Ravagnani),
submitted
47. Radical support for multigraded ideals (with A. Conca and
E. De Negri),
São Paulo Journal of Mathematical Sciences, Special Issue in
Honor of Rafael H. Villarreal on the Occasion of his 70th
Birthday (2022)
46. Solving degree, last fall degree, and related invariants
(with A. Caminata),
Journal of Symbolic Computation 114 (2023), 322-335
45. The complexity of solving Weil restriction systems (with
A. Caminata and M. Ceria),
Journal of Algebra (2023)
44.
Optimal anticodes, MSRD codes, and generalized weights in the
sum-rank metric (with E. Camps Moreno, C. Landolina, E.
Lorenzo García, U. Martínez-Peñas, and F. Salizzoni),
IEEE Transactions on Information Theory 68, no. 6 (2022),
3806-3822
43. Radical generic initial ideals (with A. Conca and E. De
Negri),
Vietnam Journal of Mathematics 50 (2022), 807–827
42. Rees algebras of sparse determinantal ideals (with E.
Celikbas, E. Dufresne, L. Fouli, K.-N. Lin, C. Polini, and I.
Swanson),
submitted
41. Semi-regular sequences and other random systems of
equations (with M. Bigdeli, E. De Negri, M. M. Dizdarevic, R.
Minko, and S. Tsakou),
Women in Numbers Europe III: Research Directions in Number
Theory
A. Cojocaru, S. Ionica and E. Lorenzo Garcia Eds., Springer
(2022)
40. The complexity of MinRank (with A. Caminata),
Women in Numbers Europe III: Research Directions in Number
Theory
A. Cojocaru, S. Ionica and E. Lorenzo Garcia Eds., Springer
(2022)
39. Rank-metric codes (invited contribution),
A Concise Encyclopedia of Coding Theory,
W.C. Huffman, J.-L. Kim, and P.
Sole' Eds., CRC Press (2021)
38. Stronger bounds on the cost of computing Groebner bases
for HFE systems (with D. Mueller and C. Petit),
Journal of Symbolic Computation 109 (2022), 386-398
37. Rank-metric codes and q-polymatroids (with R. Jurrius, H.
Lopez, and A. Ravagnani),
Journal of Algebraic Combinatorics 52 (2020), 1-19
36. Scalar multiplication in compressed coordinates in the
trace-zero subgroup (with G. Bianco),
submitted
35. Solving multivariate polynomial systems and an invariant
from commutative algebra (with A. Caminata),
Arithmetic of Finite Fields, 8th International Workshop, WAIFI
2020,
J.C. Bajard and A. Topuzoglu Eds., Springer (2020)
34.
Cartwright-Sturmfels ideals associated to graphs and linear
spaces (with A. Conca and E. De Negri),
Journal of Combinatorial Algebra 2, no. 3 (2018), 231-257
33. Codes endowed with the rank metric (with A. Ravagnani),
Network Coding and Subspace Designs,
M. Greferath, M. Pavcevic, N. Silberstein, and A.
Vazquez-Castro Eds., Springer (2018)
32. An algebraic framework for end-to-end physical-layer
network coding (with A. Ravagnani),
IEEE Transactions on Information Theory 64, no. 6 (2018),
4480-4495
31. Multigraded generic initial ideals of determinantal
ideals (with A. Conca and E. De Negri),
Homological and Computational Methods in Commutative Algebra
A. Conca, J. Gubeladze, and T. Roemer Eds., Springer (2018)
30. Universal Groebner bases and Cartwright-Sturmfels ideals
(with A. Conca and E. De Negri),
International Mathematics Research Notices 7 (2020),
1979–1991
29. Gorenstein liaison for toric ideals of graphs (with A.
Constantinescu),
Journal of Algebra 502 (2018), 249-261
28.
Weight distribution of rank-metric codes (with J. De la Cruz,
H. Lopez, A. Ravagnani),
Designs, Codes and Cryptography 86, no. 1 (2018), 1-16
27. Compression for trace zero points on twisted Edwards
curves (with G. Bianco),
Journal of Mathematical Cryptology 10, no. 1 (2016), 15-34
26. Optimal Ferrers Diagram Rank-Metric Codes (with T.
Etzion, A. Ravagnani, A. Wachter-Zeh),
IEEE Transactions on Information Theory 62, no. 4 (2016),
1616-1630
Linear Algebra and its Applications 490 (2016), 48-65
24. Subspace codes from Ferrers diagrams (with A. Ravagnani),
Journal of Algebra and its Applications
16, no. 7 (2017)
23. Index calculus in the trace zero variety (with M.
Massierer),
Advances in Mathematics of Communications 9, no. 4 (2015),
515-539
22. An optimal representation for the trace zero variety
(with M. Massierer),
Designs, Codes and Cryptography 83, no. 3 (2017) 519-548
21. Computing the dimension of ideals in group algebras, with
an application to coding theory (with M. Elia),
Journal of Algebra, Number Theory and Applications 45, no. 1
(2020), 13-28
20. Point compression for the trace zero subgroup over a
small degree extension field (with M. Massierer),
Designs, Codes and Cryptography 75, no. 2 (2015), 335-357
Finite Fields and Their Applications 26 (2014), 104-115
18. Universal Groebner bases for maximal minors (with A.
Conca ed E. De Negri),
International Mathematics Research Notices 11 (2015),
3245-3262
17. An algebraic approach for decoding spread codes (with F.
Manganiello and J. Rosenthal),
Advances in Mathematics of Communications 6, no. 4 (2012),
443-466
16. Groebner bases via linkage (with J. Migliore and U.
Nagel),
Journal of Algebra 384 (2013), 110-134
15. Torus-based cryptography (invited contribution),
Encyclopedia of Cryptography and Security (2nd ed.),
S. Jajodia and H. Van Tilborg Eds., Springer-Verlag (2011)
14. Invariants of ideals generated by pfaffians (with E. De
Negri),
Commutative Algebra and Its Connections to Geometry,
A. Corso and C. Polini Eds., Contemporary Mathematics 555
(2011), 47-62
13. Pole placement with fields of positive characteristic
(with J. Rosenthal),
Three Decades of Progress in Control Sciences - Dedicated to
Chris Byrnes and Anders Lindquist,
X. Hu, U. Jonsson, B. Wahlberg, B. Ghosh Eds., Springer-Verlag
(2010), 315-329
12. Symmetric ladders and G-biliaison,
Liaison, Schottky Problem and Invariant Theory - Remembering
Federico Gaeta,
M.E. Alonso, E. Arrondo, R. Mallavibarrena, I. Sols Eds.,
Progress in Math. 280, Birkhäuser (2010), 49-62
11. G-biliaison of ladder Pfaffian varieties (with E. De
Negri),
Journal of Algebra 321, no. 9 (2009), 2637-2649
10. Spread codes and spread decoding in network codes (with F.
Manganiello and J. Rosenthal),
Proceedings of the IEEE International Symposium on Information
Theory 2008 - ISIT 2008, 881-885
9. Efficient FPGA-based multipliers for F_3^97 and F_3^(6*97)
(with J. Shokrollahi and C. Puttmann),
International Conference on Field Programmable Logica and
Applications - FPL 2007,
IEEE Conference Proceedings, 339-344
8. Explicit formulas for efficient multiplication in GF(3^6m)
(with C. Puttmann and J. Shokrollahi),
Selected areas in cryptography. Revised selected papers from
the 14th International Workshop (SAC 2007) held at the
University of Ottawa, Canada, August 16-17, 2007,
C. Adams, A. Miri, M. Wiener Eds, Lecture Notes in Computer
Science 4876, Springer-Verlag (2007), 173-183
7. A generalized Gaeta's Theorem,
Compositio Mathematica 144, no. 3 (2008), 689-704
6. Lifting the determinantal property,
Algebra, Geometry and their Interactions,
A. Corso, J. Migliore, and C. Polini Eds., Contemporary
Mathematics 448 (2007), 69-89
5. Cryptanalysis of the CFVZ cryptosystem (with J. Climent
and J. Rosenthal),
Advances in Mathematics of Communications 1, no. 1 (2007),
1-11
4. Mixed ladder determinantal varieties from two-sided
ladders,
Journal of Pure and Applied Algebra 211, no. 2 (2007) 433-444
3. The G-biliaison class of symmetric determinantal schemes,
Journal of Algebra 310, no. 2 (2007), 880-902
2. The general hyperplane section of a curve,
Transactions of the American Mathematical Society 358, no. 2
(2006), 819-869
1. Hilbert functions of irreducible arithmetically Gorenstein
schemes (with N.Budur and M.Casanellas),
Journal of Algebra 272, no. 1 (2004), 292-310
extended abstracts
5. MacWilliams’ Extension Theorem for rank-metric codes (with
F. Salizzoni),
Proceedings of MEGA 2022 -- Effective Methods in Algebraic
Geometry
4. Stronger bounds on the cost of computing Groebner bases for HFE systems (with D. Mueller and C. Petit), Proceedings of MEGA 2019 -- Effective Methods in Algebraic Geometry
3. Invariants of rank-metric codes and q-polymatroids,
Oberwolfach Reports 13 (2019), 821-824
2. Subspace codes from Ferrers diagrams (with A. Ravagnani),
Proceedings of MEGA 2015 -- Effective Methods in Algebraic
Geometry
1. Cryptanalysis of the CFVZ cryptosystem,
Proceedings of the 10th Rhein Workshop on Computer Algebra
(2006)
PhD thesis
Lifting properties from the general hyperplane section of a
projective scheme (2004)
under the supervision of J. Migliore
