List of Publications



[34](with A. Dukes and A. Ferraguti) Optimal Selection for Good Polynomials of Degree up to Five, to appear in Designs Codes and Cryptography, Arxiv


[33](with D. Bartoli, G. Zini, F. Zullo) r-fat linearized polynomials over finite fields, to appear in Journal of Combinatorial Theory, Series A Arxiv


[32](with S. Schraven, V. Weger) Local to global principle for expected values, to appear in Journal of Number Theory Arxiv


[31](with D. Goldfeld) The Algebraic Theory of Fractional Jumps, Finite Fields and Their Applications, 14th International Conference on Finite Fields Link


[30](with D. Bartoli) Algebraic constructions of complete m-arcs, to appear in Combinatorica Arxiv


[29](with F. Biasse, E. Persichetti and P. Santini) LESS is More: Code-Based Signatures without Syndromes Lecture Notes in Computer Science, 12th International Conference on Cryptology in Africa, Cairo, Egypt, July 20-22, 2020 ePrint


[28](with A. Ferraguti) Exceptional scatterdness in prime degree, Journal of Algebra Link


[27](with A. Ferraguti) An equivariant isomorphism theorem for mod p reductions of arboreal Galois representations, Transactions of the American Mathematical Society Link


[26](with A. Neri) New Lower Bounds for Permutation Codes using Linear Block Codes, IEEE Transactions on Information Theory Link


[25](with K. Khathuria and V. Weger) On the algebraic structure of Epm and applications to cryptography to appear in Applicable Algebra in Engineering Communication and ComputingLink


[24] Constructions of Locally Recoverable Codes which are Optimal, IEEE Transactions on Information TheoryLink


[23] (with F. Amadio Guidi) Fractional jumps: complete characterisation and an explicit infinite family, Lecture Notes in Computer Science Link


[22] (with V. Weger) Cryptanalysis of the CLR-Cryptosystem, Designs Codes and Cryptography, Volume 87, Issue 5. Link


[21] (with A. Ferraguti) Full Classification of permutation rational functions and complete rational functions of degree three over finite fields to appear in Designs Codes and Cryptography Arxiv


[20] (with V. Weger) On Rectangular Unimodular Matrices over the algebraic integers, SIAM Journal on Discrete Mathematics Volume 33, Issue 1 Link


[19] (with F. Amadio Guidi and S. Lindqvist) Full Orbit Sequences in Affine Spaces via Fractional Jumps and Pseudorandom Number Generation Mathematics of Computation Link


[18] (with D. Hart, D. Kim, G. Pascual Perez, C. Petit, and Y. Quek) A Practical Cryptanalysis of WalnutDSA Lecture Notes in Computer Science, PKC 2018 ePrint ( Oxford Mathematics researchers and undergraduates expose security flaw )


[17] On the Selection of Polynomials for the DLP Quasi-Polynomial Time Algorithm for Finite Fields of Small Characteristic, to appear in SIAM Journal on Applied Algebra and Geometry Link


[16] (with A. Ferraguti and R. Schnyder) Irreducible compositions of degree two polynomials over finite fields have regular structure The Quarterly Journal of Mathematics Volume 69, Issue 3, 1 September 2018 Arxiv link



[15] (with D.R. Heath-Brown) Irreducible polynomials over finite fields produced by composition of quadratics (To appear in Revista Matemática Iberoamericana)
Link


[14] A local to global principle for densities over function fields Arxiv


[13] (with A. Ferraguti and R. Schnyder) On sets of irreducible polynomials closed by composition, Lecture Notes in Computer Science Arithmetic of Finite Fields, 2016 Arxiv


[12] (with A. Ferraguti) On the existence of infinite, non-trivial F-sets, Journal of Number Theory, Volume 168, November 2016, Pages 1–12. Link


[11] (with R. Schnyder) On unimodular matrices over integrally closed subrings of function fields, Review Volume of Fq12 (20 out of 91 talks selected for paper constribution): Contemporary Developments in Finite Fields and Applications co-edited by A. Canteaut, G. Effinger, S. Huczynska, D. Panario, L. Storme) pp 244-253. Link


[10] (with R. Schnyder) The Density of Shifted and Affine Eisenstein Polynomials, Proceedings of the American Mathematical Society, Volume 144, 11, pp 4651-4661 Link


[9] (with E. Dotti) Eisenstein Polynomials over Function Fields, Applicable Algebra in Engineering Communication and Computing, Springer, Volume 27, Issue 2, pp 159-168 link


[8] (with A. Ferraguti) On the Mertens-Cesàro Theorem for number fields, Bulletin of the Australian Mathematical Society, Cambridge University Press, Volume 93, Issue 02, April 2016, pp 199-210, link


[7] (with R. Schnyder) On the density of coprime m-tuples over holomorphy rings, International Journal of Number Theory, 12, 833 (2016) Arxiv link


[6] (with J. Rosenthal and P. Vettori) Linear spanning sets for matrix spaces Linear Algebra and Its Applications Volume 483, October 2015 link


[5] (with J. Rosenthal and R. Schnyder) An Information Rate Improvement for a Polynomial Variant of the Naccache-Stern Knapsack Cryptosystem Lecture Notes in Electrical Engineering Physical and Data-Link Security Techniques for Future Communication Systems, Springer, 2016 link


[4] On coefficient constraints and evaluation restrictions for linearized polynomials Finite Fields and Their Applications Volume 34, July 2015 link


[3] Cryptanalysis of a non-commutative key exchange protocol Advances in Mathematics of Communications, Volume 9, Issue 2, May 2015 link


[2] (with D. Schipani) On Canonical Subfield Preserving Polynomials, Acta Arithmetica, Volume 166, Number 1 (2014) Arxiv


[1] (with M. Schiavina) A general construction for monoid-based knapsack protocols, Advances in Mathematics of Communications , Volume 8, Issue 3, (2014) Arxiv

You might have seen me at...

University of Rome "La Sapienza", Rome, IT [Hosted by Riccardo Salvati Manni] (May 15 to June 30, 2021) [Research talk]

Algebraic Methods in Coding Theory and Communication, (hybrid format, Oaxaca, MX), April 25-29, 2022 [Research Talk]

AMS Virtual Spring Eastern Sectional Meeting (formerly at Tufts University, Medford, US), March 19-20, 2022 [Research Talk]

Roma 3 University, IT Hosted by Laura Capuano ] (December 2021) [Research talk]

University of Ohio, Athens, US, online (November 9th 2021) [Research talk]

Columbia University, New York, US [Hosted by Dorian Goldfeld] (23-29 September, 2021)

CrypTO, IT, (May 27 - May 28) [Research Talk]}

Joint Mathematics Meeting of the AMS, US (January 7- January 9, 2020) [Research Talk]

AMS Fall Southeastern Sectional Meeting (formerly at University of Tennessee at Chattanooga), October 10-11, 2020 [Research Talk]

Joint Mathematics Meeting of the AMS, Denver, US (January 14- January 19, 2020) [Research Talk]

University of South Florida, US (21 February, 2020 ) [Research talk]

Virginia Tech, US Hosted by Gretchen Matthews ] (19 November, 2019) [Research talk]

Virginia Tech, US Hosted by Gretchen Matthews ] (18 October, 2019) [Research talk]

SIAM Conference on Applied Algebraic Geometry, Bern, CH (July 8- July 14, 2019) [Research Talk]

Marche Polytechnic University, Department of Information Engineering, Ancona, IT, [Hosted by Marco Baldi and Franco Chiaraluce ] (24-6 June, 2019)

University of South Florida, US (9-16 June, 2019) [Research talk]

Fq14, Vancouver CA (2-8 June, 2019) [Research talk]

University of South Florida, US (14 January, 2019) [Research talk]

University of Michigan, US (20-22 October, 2018) [Research talk]

University of Linz, AT [Hosted by Arne Winterhof] (6-28 October, 2018) [Research talk]

Brown University, Providence, US [Hosted by Joseph Silverman] (24-25 September, 2018) [Research talk]

City University of New York, New York US [Hosted by Delaram Kahrobaei ] (21 September, 2018) [Research talk]

Columbia University, New York, US [Hosted by Dorian Goldfeld] (1-30 September, 2018) [Research talk]

University of Cantabria, Santander, ES [Hosted by Domingo Gomez-Perez] (19 - 23 August, 2018)

WAIFI2018, Bergen, NO (14-16 June, 2018) [Research talk]

University of Rostock, Rostock, DE [Hosted by Gohar M. Kyureghyan] (11-14 October, 2017) [Research talk]

SIAM Conference on Applied Algebraic Geometry, Atlanta, USA (July 31 - August 4, 2017) [Research Talk]

Fq13, Gaeta, IT (4-10 June, 2017) [Research Talk]

Paris 6, Paris, FR [Hosted by Antoine Joux] (April 25 - May 3, 2017) [Research Talk]

Paris 8, Paris, FR (April 27, 2017) [Research Talk]

University of Neuchâtel, (April 12, 2017, Neuchâtel, CH) [Research talk]

University of Exeter [Hosted by Julio Andrade] (November 2016 Exeter, UK) [Research talk]

International Workshop on Arithmetic of Finite Fields (WAIFI 2016, Ghent, BE, July 13-15) [Research talk]

Workshop: Mathematical Coding Theory in Multimedia Streaming (Oct 11th - Oct 16th, Banff, CDN).

Fq12, Skidmore College (13-17 July 2015, Saratoga Sprigs, US) [Research Talk]

San Diego State University, (24-29 June 2015, San Diego, US) [Research Talk]

DIMACS Workshop on The Mathematics of Post-Quantum Cryptography, (January 2015, Rutgers University, US ) [Research talk]

Zurich Graduate Colloquium in Mathematics, (November 2014, University of Zurich, CH ) [Talk]

Workshop on Communication Security, University of Ancona, (September 2014, Ancona, IT) [Research talk]

Baruch College, (August 2014, NY)

Workshop on Polynomials over Finite Fields: Functional and Algebraic Properties, (19-24 May 2014, Barcelona, ES) [Research talk]

DLP, (5-9 May 2014 Ascona, CH)

University of Aveiro, (26 March 2014, Aveiro, PT) [Research talk]

Winter School: Quadratic forms and Applications. (March 2014, Les Diablerets, CH)

Fourteenth IMA international conference on Cryptography and Coding, (17-19 December 2013, Oxford, UK)

Number Theory, Geometry and Cryptography, (1-5 July 2013, University of Warwick, UK)

Summer School - Number Theory for Cryptography, (24-28 June 2013, University of Warwick, UK)

COST meeting, (29 May 2013, Zurich, CH)

University of Neuchâtel, (often, Neuchâtel, CH) [Research talks]

University of Zurich, (often, Zurich, CH) [Research talks]