Selected articles on AI, Mathematics, and Strategy.
A strategic publication exploring the intersection of Mathematics and AI Leadership. Topics include AI Governance, the philosophy of Data Science, and navigating the transition to Agentic AI workflows.
Read on Substack →Focuses on Graph Data Science (Neo4j), Anomaly Detection (Autoencoders), and specialized clustering techniques. Notable for bridging pure math with Python-based implementation.
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The article highlights how rapidly advancing AI systems like ChatGPT raise new opportunities and challenges for society, especially in education, creativity, ethics, and intellectual property. It argues that while AI can augment human capabilities, it also forces us to rethink roles, regulations, and our understanding of language, reasoning, and authenticity.
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Opinion article about public governance and open data.
arXiv
Article/Book chapter chapter in Analysis, Cryptography and Information Science, N J. Daras et al. World Scientific 2023.
Springer, Applications of Mathematics and Informatics to Science and Engineering
In this article several practical applications of algebraic topology are presented. After a short technical review of the necessary theory applications to sensor networks are presented. A very short reference of applications to data analysis follows.
Journal of Applied Mathematics and Bioinformatics
The article consists of two parts. In the first part it presents a short overview of group-based cryptography. In the second part the notions of group-based cryptography are used to present a secret sharing scheme.
International Journal of Algebra, Vol. 6, No. 5-8
Abstract: In this article we define the class of groups G with the property that there exists a natural number n_0 such that H_n(G,M) is Z-torsion for every natural number n ≥ n_0 and ZG-module M.
1st National Conference of Hellenic Mathematical Society and Hellenic Society of Operational Research
In this article we investigate if the topology of the set and especially its Persistent Homology can provide a tool for defining the neighborhood used in Lazy Learning regression.
arXiv
In this paper a secret sharing scheme based on the word problem in groups is introduced. The security of the scheme and possible variations are discussed, concluding with the suggestion of two categories of platform groups for implementation.
Homology, Homotopy and Applications
In this paper, we use some specific properties that are enjoyed by group elements with non-zero Hattori-Stallings rank function and define, by homological means, a large class of groups that satisfy Bass' conjecture.