Published works:
2022 Construction of new q-cryptomorphisms. Authors E. Byrne, M. Ceria and R. Jurrius, Journal of Combinatorial Theory, Series B 153 (2022) 149–194, https://doi.org/10.1016/j.jctb.2021.12.001 (preprint available here)
2021 Efficient cryptanalysis over multivariate Ore extensions, accepted by De Cifris Seminars. Authors M. Ceria, T. Moriarty and A.Visconti (preprint available here)
Book Bits, bytes and friends accepted by the scientific committee of the “Cryptography” series of Aracne eds. Authors: M. Ceria, G. Rinaldo and M. Sala
2022 Optimizing the key-pair generation phase of McEliece cryptosystem, in: Woungang I., Dhurandher S.K. (eds) 4th International Conference on Wireless, Intelligent and Distributed Environment for Communication. Lecture Notes on Data Engineering and Communications Technologies, vol 94. Springer, Cham. https://doi.org/10.1007/978-3-030-89776-5_8 Authors M. Ceria, A. De Piccoli, M.Tiziani, A. Visconti (preprint available here)
2022 Bar Code and Janet-like division, Author: Michela Ceria Paper available here
2021 Why you cannot even hope to use Ore algebras in Cryptography, accepted by Applicable Algebra in Engineering, Communication and Computing, With T.Mora, A.Visconti. Preprint available here.
2020 Combinatorial decompositions for monomial ideals , Author: Michela Ceria Accepted by Journal of Symbolic Computation. Preprint available here
2019 A performance-based approach to compare the Blockchain consensus procedures: PoW vs PoS vs Pure PoS. Mathematics 2020, 8(10), 1782. Authors: Cristian Lepore, Michela Ceria, Andrea Visconti, Udai Pratap Rao, Kaushal Arvindbhai Shah, and Luca Zanolini. Available here.
2020 Toward involutive bases over effective rings, Special issue of Applicable Algebra in Engineering, Communication and Computing, concerning “Algebraic Geometry from an Algorithmic point of View”, 31, 359–387. Authors: Michela Ceria, Teo Mora. Preprint available here.
2020 HELP: a sparse error locator polynomial for BCH codes, accepted by the Special issue of Applicable Algebra in Engineering, Communication and Computing, concerning "Computer Algebra and application to combinatorics, coding theory and cryptography". Authors: Michela Ceria, Teo Mora, Massimiliano Sala . Preprint available here.
2020 Why you cannot even hope to use Gröbner bases in cryptography: an eternal golden braid of failures, accepted by the Special issue of Applicable Algebra in Engineering, Communication and Computing, concerning "Computer Algebra and application to combinatorics, coding theory and cryptography". Authors: Boo Barkee, Michela Ceria, Theo Moriarty, Andrea Visconti. Preprint available here.
2020 Sublime Experience: new strategies for measuring the aesthetic impact of the sublime, Imagine Maths 7: Conference Mathematics and Culture Authors: Maddalena Mazzocut-Mis, Andrea Visconti, Hooman Tahayori and Michela Ceria
2019 Bar Code vs Janet tree, Atti Accad. Pelorit. Pericol., Cl. Sci. Fis. Mat. Nat. (Online) Vol. 97, N.2 ISSN: 1825-1242. Author: Michela Ceria. http://dx.doi.org/10.1478/AAPP.972A6
2019 Zech Tableaux as tools for sparse decoding. Accepted by Rendiconti del Seminario Matematico dell'Università e del Politecnico di Torino. Authors: Michela Ceria, Teo Mora, Massimiliano Sala. Preprint available here
2019 Bar code: a visual representation for finite set of terms and its applications, Accepted Mathematics in Computer Science special issue for ACA2018 Author: Michela Ceria. Preprint available here
2019 Measuring Performances of a White-box Approach in the IoT Context. Symmetry 2019, 11(8), 1000; https://doi.org/10.3390/sym11081000 Authors: Daniele Giacomo Vittorio Albricci, Michela Ceria, Arvin Shakiba, Andrea Visconti, Federico Cioschi, Nicolò Fornari
2019 Applications of Bar Code to involutive divisions and a greedy algorithm for complete sets. (extended abstract) International Conference Polynomial Computer Algebra ’2019 St. Petersburg, Russia April 15-20, 2019 International Euler Institute - ISBN 978-5-96511-1234-0, available here at page 32. Author: Michela Ceria
2019 Weak involutive bases over effective rings (extended abstract) International Conference Polynomial Computer Algebra ’2019 St. Petersburg, Russia April 15-20, 2019 International Euler Institute - ISBN 978-5-96511-1234-0 available here at page 99. Author: Michela Ceria, Teo Mora
2019 A general framework for Noetherian well ordered polynomial reductions. Journal of Symbolic Computation, ISSN: 0747-7171, https://doi.org/10.1016/j.jsc.2019.02.002 Authors: Michela Ceria , Teo Mora, Margherita Roggero
2019 Bar code for monomial ideals. Journal of Symbolic Computation , Volume 91, March - April 2019, Pages 30-56, https://doi.org/10.1016/j.jsc.2018.06.012 . Author: Michela Ceria. Preprint available here
2018 Combinatorics of ideals of points: a Cerlienco-Mureddu-like approach for an iterative lex game (abstract). In 24th Conference on Applications of Computer Algebra - ACA 2018: Proceedings, Applications of Computer Algebra, Santiago de Compostela, Spain, June 18-22, 2018. http://dx.doi.org/10.15304/9788416954872 Authors: Michela Ceria , Teo Mora. Preprint available here
2018 Efficient computation of squarefree separator polynomials (extended abstract) . https://doi.org/10.1007/978-3-319-96418-8_12 In: Davenport J., Kauers M., Labahn G., Urban J. (eds) Mathematical Software -- ICMS 2018. ICMS 2018. Lecture Notes in Computer Science, vol 10931. Springer, Cham Authors: Michela Ceria , Teo Mora , Andrea Visconti . Preprint available here.
2017 Buchberger-Zacharias Theory of Multivariate Ore Extensions. https://doi.org/10.1016/j.jpaa.2017.02.011 Journal of Pure and Applied Algebra ,Volume 221, Issue 12, December 2017, Pages 2974--3026. Authors: Michela Ceria , Teo Mora
2017 Bitcoin, la moneta virtuale per transazioni reali. Interlex, may 2017. Authors: M. Ceria , M. Sala
2016 Buchberger-Weispfenning Theory for Effective Associative Rings. https://doi.org/10.1016/j.jsc.2016.11.008 Journal of Symbolic Computation , special issue for ISSAC 2015, 83, pp. 112-146. Authors: Michela Ceria , Teo Mora
2016 Bitcoin e Blockchain , Authors: Michela Ceria , Federico Pintore , Massimiliano Sala Aused Informa, 98.
2016 A computational approach to the theory of adjoints. http://dx.doi.org/10.1478/AAPP.942A7 AAPP Atti della Accademia Peloritana dei Pericolanti, Classe di Scienze Fisiche, Matematiche e Naturali , Volume 94, Issue 2, 2016, Article number A7. Author: Michela Ceria
2015 Term-ordering free involutive bases. Authors: Michela Ceria , Teo Mora , Margherita Roggero https://doi.org/10.1016/j.jsc.2014.09.005, Journal of Symbolic Computation , Volume 68, Part 2, May--June 2015, Pages 87--108.
2014 A proof of the ``Axis of Evil theorem'' for distinct points. Author: Michela Ceria Rendiconti del Seminario Matematico dell'Università e del Politecnico di Torino Vol. 72 No. 3-4, pp. 213-233
My PhD Thesis: Combinatorial structure of monomial ideals.
Distributed software:
2012 JMBTest.lib: a J-marked basis tester Library available from Singular 3-1-6: https://www.singular.uni-kl.de/index.php/singular-download.html Author: Michela Ceria
2012 JMSConst.lib: a J-marked schemes contructor Library available from Singular 3-1-6: https://www.singular.uni-kl.de/index.php/singular-download.html Author: Michela Ceria