José Andrés Armario Sampalo received a B.Sc. Degree in Mathematics in 1993 and a Ph.D. Degree in Mathematics in 1998, from the University of Seville, Spain. He did his PhD thesis in the field of Computational Algebraic Topology. Among the results of his thesis, there was an algorithm for computing the homology of certain groups, like semi-direct groups. In 2000, he stayed for 7 weeks at RMIT University Melbourne, Australia, under Professor Kathy Horadam's supervision. He worked in the interaction of his techniques and results, on homology of groups, within the Cocyclic Design Theory developed for Horadam-Flannery-De Launey in the 90s.
From that moment, his research interests have bent towards the topics in Combinatorial Matrix Theory and Designs Theory and their applications to Coding Theory and Cryptography. In 2007, he was a member of the organization team of the second International Workshop on Algebraic Design Theory and Hadamard Matrices (Seville, Spain). Since then, he has been a speaker in all the conferences of this series (Galway-2009, Melbourne-2011, Lethbrige-2014, Budapest-2017 and Krakow-2022). In the last three editions, he has been an invited speaker. He will also be the main chairman for the next one, which will be held in Seville, 26-30 May 2025 https://gestioneventos.us.es/hadamard2025. In 2014, he received an invitation to attend to BIRS Workshop 14w2199 Algebraic Design Theory with Hadamard matrices: Applications, current trends and future direction in Banff (Canada), where he gave a talk. Some remarkable aspects of his research career are:
- JA Armario, MD Frau (2016). On skew E-W matrices. Journal of Combinatorial Designs 24, 461-472. This paper solves partially Peter Cameron's conjecture on the maximal determinant of certain matrices.
- JA Armario, D Flannery (2020). Almost supplementary difference sets and quaternary sequences with optimal autocorrelation. Cryptography and Communications 12, 757-768. Here, a characterization of the optimal quaternary sequences of odd length in terms of difference sets is given. In addition, a new kind of difference set is introduced.
- Proof of the impact of his research are these two papers (Greaves, G., Suda, S.: Symmetric and Skew-Symmetric 0,±1-Matrices with Large Determinants. Journal of Combinatorial Designs 25, 507-522 (2017); Greaves, G., Suda, S.: On the Smith normal form of a skew symmetric d-optimal design of order n=2 (mod 4). Journal of Combinatorial Designs 27, 123-141 (2019)) devoted to proving two conjectures stated by him.
In addition, he has co-authored 11 papers with international experts in the theory of Hadamard matrices as Professors Dane Flannery (University of Galway, Ireland), Ronan Egan (Dublin City University, Ireland), Hadi Kharaghani (University of Lethbrigde, Canada), Padraig Ó Catháin (Dublin City University, Ireland) and Patrick Solé (CNRS-Marselle, France).
Besides, he serves regularly as a referee for some journals: Linear and Multilinear Algebra, Journal of Combinatorial Designs, Algebraic Journal of Combinatorics... and as a reviewer for Mathscinet (with 32 items). He was part of the Scientific Committee of the international meeting in Combinatorial Designs and Codes (CODESCO'24) held in Seville, 8-12 July 2024, and a co-chair as well. He is a guess editor of the collection Combinatorial Designs and Codes of the journal Mathematics in Computer Science (MSC) of Springer. He has also been a consultant for the Croatian Science Foundation taking part in peer review of a project proposals, June 2018; and for the School of Physical and Mathematical Sciences, Nanyang Technological University (Singapur) in the School Review Committee (SRC) for the 2020 Lecturer-track Promotion Exercise (LPPE9) for a candidate, June 2020.
Concerning scientific dissemination, he has given a short talk on the principles of Post-quantum Cryptography in the TV-program EnRed of the Channel CanalSurMás https://canalsurmas.es/videos/detail/124045-enred-20022024 (20/02/2024).
He has positive evaluations of two six-year research periods. He is currently the leader of the Research Group, FQM-016 'Codes, Designs, Cryptography and Optimization' from Junta de Andalucía and coordinator of the Mathematics-Informatics Double Degree appointed by the ETSI Informática School board since July 2021. He has served as secretary of his department since December 2023.
José Andrés Armario Sampalo received a B.Sc. Degree in Mathematics in 1993 and a Ph.D. Degree in Mathematics in 1998, from the University of Seville, Spain. He did his PhD thesis in the field of Computational Algebraic Topology. Among the results of his thesis, there was an algorithm for computing the homology of certain groups, like semi-direct groups. In 2000, he stayed for 7 weeks at RMIT University Melbourne, Australia, under Professor Kathy Horadam's supervision. He worked in the interaction of his techniques and results, on homology of groups, within the Cocyclic Design Theory developed for Horadam-Flannery-De Launey in the 90s.
From that moment, his research interests have bent towards the topics in Combinatorial Matrix Theory and Designs Theory and their applications to Coding Theory and Cryptography. In 2007, he was a member of the organization team of the second International Workshop on Algebraic Design Theory and Hadamard Matrices (Seville, Spain). Since then, he has been a speaker in all the conferences of this series (Galway-2009, Melbourne-2011, Lethbrige-2014, Budapest-2017 and Krakow-2022). In the last three editions, he has been an invited speaker. He will also be the main chairman for the next one, which will be held in Seville, 26-30 May 2025 https://gestioneventos.us.es/hadamard2025. In 2014, he received an invitation to attend to BIRS Workshop 14w2199 Algebraic Design Theory with Hadamard matrices: Applications, current trends and future direction in Banff (Canada), where he gave a talk. Some remarkable aspects of his research career are:
- JA Armario, MD Frau (2016). On skew E-W matrices. Journal of Combinatorial Designs 24, 461-472. This paper solves partially Peter Cameron's conjecture on the maximal determinant of certain matrices.
- JA Armario, D Flannery (2020). Almost supplementary difference sets and quaternary sequences with optimal autocorrelation. Cryptography and Communications 12, 757-768. Here, a characterization of the optimal quaternary sequences of odd length in terms of difference sets is given. In addition, a new kind of difference set is introduced.
- Proof of the impact of his research are these two papers (Greaves, G., Suda, S.: Symmetric and Skew-Symmetric 0,±1-Matrices with Large Determinants. Journal of Combinatorial Designs 25, 507-522 (2017); Greaves, G., Suda, S.: On the Smith normal form of a skew symmetric d-optimal design of order n=2 (mod 4). Journal of Combinatorial Designs 27, 123-141 (2019)) devoted to proving two conjectures stated by him.
In addition, he has co-authored 11 papers with international experts in the theory of Hadamard matrices as Professors Dane Flannery (University of Galway, Ireland), Ronan Egan (Dublin City University, Ireland), Hadi Kharaghani (University of Lethbrigde, Canada), Padraig Ó Catháin (Dublin City University, Ireland) and Patrick Solé (CNRS-Marselle, France).
Besides, he serves regularly as a referee for some journals: Linear and Multilinear Algebra, Journal of Combinatorial Designs, Algebraic Journal of Combinatorics... and as a reviewer for Mathscinet (with 32 items). He was part of the Scientific Committee of the international meeting in Combinatorial Designs and Codes (CODESCO'24) held in Seville, 8-12 July 2024, and a co-chair as well. He is a guess editor of the collection Combinatorial Designs and Codes of the journal Mathematics in Computer Science (MSC) of Springer. He has also been a consultant for the Croatian Science Foundation taking part in peer review of a project proposals, June 2018; and for the School of Physical and Mathematical Sciences, Nanyang Technological University (Singapur) in the School Review Committee (SRC) for the 2020 Lecturer-track Promotion Exercise (LPPE9) for a candidate, June 2020.
Concerning scientific dissemination, he has given a short talk on the principles of Post-quantum Cryptography in the TV-program EnRed of the Channel CanalSurMás https://canalsurmas.es/videos/detail/124045-enred-20022024 (20/02/2024).
He has positive evaluations of two six-year research periods. He is currently the leader of the Research Group, FQM-016 'Codes, Designs, Cryptography and Optimization' from Junta de Andalucía and coordinator of the Mathematics-Informatics Double Degree appointed by the ETSI Informática School board since July 2021. He has served as secretary of his department since December 2023.
