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.
Focuses on Graph Data Science (Neo4j), Anomaly Detection (Autoencoders), and specialized
clustering techniques. Notable for bridging pure math with Python-based implementation.
Introduces an analytical framework for measuring and analyzing AI-generated perceptions through structured prompting, embeddings, and quantitative analysis. As AI increasingly shapes discovery and decision-making, understanding and measuring these generated perceptions becomes a critical analytical challenge at the intersection of Python, analytics, and generative AI.
Live technical presentation and code demonstration showcasing how to build graph-based movie recommendation engines using Neo4j and graph data science algorithms, exploring graph modeling, collaborative filtering, and similarity metrics.
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.
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.
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.
2012 |
Research
Groups with Z-torsion Homology
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.
2011 |
Research
Persistent Homology and Lazy Learning
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.
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.
2008 |
Research
Group elements conjugate to their powers and Bass' conjecture
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.