Pure Mathematics, Algebra, Group Theory, Semigroup Theory, and Algebraic Methods for AI.
Dr. Michael Nsikan John is a Pure Mathematics scholar whose core research areas include Algebra, Group Theory, Semigroup Theory, and algebraic structures, with expanding interdisciplinary interests in artificial intelligence through algebraic and semigroup-based methods, as well as secure mathematical systems.
Professional Snapshot
About
Academic profile and research background
Dr. Michael Nsikan John is a Pure Mathematics scholar specializing in Algebra, with a strong research focus on the structural and computational aspects of algebraic systems. He holds a Ph.D. in Pure Mathematics (Algebra) from Akwa Ibom State University, Nigeria, where his doctoral research examined the interaction between group theory and lattice-based cryptography, contributing to developments in post-quantum cryptographic systems.
He currently serves as a Lecturer II in Mathematics at Edo State University, Iyamho, Nigeria, where he is actively engaged in teaching, research, and academic development. He previously served at Nile University of Nigeria, Abuja, contributing to undergraduate and postgraduate instruction, curriculum design, and departmental growth. His teaching spans Abstract Algebra, Linear Algebra, Group Theory, Ring Theory, Field Theory, and Computational Mathematics, with a consistent emphasis on clarity, rigor, and deep conceptual understanding.
His research interests are rooted in Pure Mathematics, particularly Algebra, Group Theory, and Semigroup Theory, with extensions to lattice theory and algebraic cryptography. His work addresses finite groups, nilpotent and solvable groups, conjugacy classes, and structural classification problems. He also investigates computational group theory and algebraic approaches to cryptographic protocol design, including elliptic curve and lattice-based cryptographic systems relevant to quantum-era security challenges.
Dr. John has authored and co-authored numerous peer-reviewed publications in reputable international journals. His contributions cover computational group theory, elliptic curve cryptography, semigroup theory, modular structures, and algebraic encryption frameworks. His work provides both theoretical insight and practical relevance in secure communication systems and modern computational mathematics.
Beyond classical algebra, his research extends to interdisciplinary applications, particularly the integration of algebraic structures into artificial intelligence and advanced computational systems. He explores how group-theoretic and semigroup-based frameworks can support machine learning models, algorithm design, and secure digital infrastructures.
He is an active participant in the academic community, having attended conferences including the Nigerian Mathematical Society Annual Conference and other scientific forums. Through research, teaching, and mentorship, he contributes to the advancement of mathematical sciences and the development of future scholars.
His long-term vision is centered on advancing research in Algebra, strengthening mathematical education, and developing innovative algebraic frameworks applicable to cryptography, artificial intelligence, and computational sciences, while contributing to globally competitive research and academic excellence.
Research
Core research interests and emerging directions
Research Interests
Research Focus
Dr. Michael Nsikan John’s research is centered on Pure Mathematics, especially Algebra, Group Theory, and Semigroup Theory. His work examines the structural properties of algebraic systems and their applications in cryptography, computation, and advanced mathematical modeling.
His work includes finite groups, solvable and nilpotent groups, conjugacy classes, and semigroup structures, with emphasis on classification problems and algebraic foundations.
In emerging interdisciplinary directions, he investigates AI systems built on algebraic principles, particularly group-theoretic and semigroup-based frameworks for machine learning, symbolic computation, and intelligent systems design.
Conferences
Recent academic participation and scholarly engagement
Academic Strengths
Professional competencies and scholarly value
Publications
Complete list of publications
1. Michael N. John & Udoaka O. G. (2023). Algorithm and Cube-Lattice-Based Cryptography.
International Journal of Research Publication and Reviews, Vol. 4, No. 10, pp. 3312–3315.
2. Michael N. John, Udoaka O. G. (2023). Computational Group Theory and Quantum-Era Cryptography.
International Journal of Scientific Research in Science, Engineering and Technology, Vol. 10, Issue 6, pp. 01–10.
3. Michael N. John, Udoaka Otobong G., Alex Musa (2023). Key Agreement Protocol Using Conjugacy Classes of Finitely Generated Group.
International Journal of Scientific Research in Science and Technology, Vol. 10, Issue 6, pp. 52–56.
4. Michael N. John, Udoaka Otobong G., Boniface O. Nwala (2023). Elliptic-Curve Groups in Quantum-Era Cryptography.
ISAR Journal of Science and Technology, Vol. 1, Issue 1, pp. 21–24.
5. Michael N. John, Udoaka Otobong G., Alex Musa (2023). Nilpotent Groups in Cryptographic Key Exchange Protocol for N≥1.
Journal of Mathematical Problems, Equations and Statistics, 4(2), pp. 32–34.
6. Michael Nsikan John, Udoaka Otobong G., & Alex Musa (2023). Symmetric Bilinear Cryptography on Elliptic Curve and Lie Algebra.
GPH - International Journal of Mathematics, 6(10), pp. 01–15.
7. John, Michael N., Ozioma, O., Obi, P. N., Egbogho, H. E., & Udoaka, O. G. (2023). Lattices in Quantum-Era Cryptography.
International Journal of Research Publication and Reviews, 4(11), pp. 2175–2179.
8. Michael N. John, Ogoegbulem Ozioma, Udoaka Otobong G., Boniface O. Nwala, & Obi Perpetua Ngozi (2023). Cryptographic Encryption Based on Rail-Fence Permutation Cipher.
GPH - International Journal of Mathematics, 6(11), pp. 01–06.
9. Michael N. John, Ogoegbulem Ozioma, Obukohwo Victor, & Henry Etaroghene Egbogho (2023). Number Theory in RSA Encryption Systems.
GPH - International Journal of Mathematics, 6(11), pp. 07–16.
10. John, Michael N., Bassey, E. E., Udoaka, O. G., Otobong, J. T., and Promise, O. U. (2023). On Finding the Number of Homomorphism from Q8.
International Journal of Mathematics and Statistics Studies, 11(4), pp. 20–26.
11. Michael N. John, Otobong G. Udoaka, & Itoro U. Udoakpan (2023). Group Theory in Lattice-Based Cryptography.
International Journal of Mathematics and Its Applications, 11(4), pp. 111–125.
12. Michael N. John, Udoakpan I. U. (2023). Fuzzy Group Action on an R-Subgroup in a Near-Ring.
International Journal of Mathematics and Statistics Studies, 11(4), pp. 27–31.
13. Michael N. John, Edet Effiong, & Otobong G. Udoaka (2023). On Finding B-Algebras Generated by Modulo Integer Groups Zn.
International Journal of Mathematics and Statistics Invention, 11(6), pp. 01–04.
14. Michael N. J., Ochonogor N., Ogoegbulem O., and Udoaka O. G. (2023). Graph of Co-Maximal Subgroups in the Integer Modulo N Group.
International Journal of Mathematics and Statistics Studies, 11(4), pp. 45–50.
15. Michael N. John, Otobong G. Udoaka, & Alex Musa (2023). Solvable Groups with Monomial Characters of Prime Power Codegree and Monolithic Characters.
Bulletin of Mathematics and Statistics Research, 11(7), pp. 01–04.
16. Michael N. J., Musa A., and Udoaka O. G. (2023). Conjugacy Classes in Finitely Generated Groups with Small Cancellation Properties.
European Journal of Statistics and Probability, 12(1), pp. 1–9.
17. Michael N. J., Ochonogor N., Ogoegbulem O., and Udoaka O. G. (2023). Modularity in Finite Groups: Characterizing Groups with Modular σ-Subnormal Subgroups.
International Journal of Mathematics and Computer Research, 11(12), pp. 3914–3918.
18. John, M. N., Bassey, E. E., Godswill, I. C., & G. U. (2023). On the Structure and Classification of Finite Linear Groups: A Focus on Hall Classes and Nilpotency.
International Journal of Mathematics and Computer Research, 11(12), pp. 3919–3925.
19. John, M. N., & U. U. I. (2023). On Strongly Base-Two Finite Groups with Trivial Frattini Subgroup: Conjugacy Classes and Core-Free Subgroup.
International Journal of Mathematics and Computer Research, 11(12), pp. 3926–3932.
20. John, M. N., Etim U. J., & Udoaka O. G. (2023). Algebraic Structures and Applications: From Transformation Semigroups to Cryptography, Blockchain, and Computational Mathematics.
International Journal of Computer Science and Mathematical Theory, 9(5).
21. John, M. N., Ogoegbulem O., Etim U. J., & Udoaka O. G. (2023). Characterization Theorems for Just Infinite Profinite Residually Solvable Lie Algebras.
International Journal of Computer Science and Mathematical Theory, 9(5).
22. John, M. N., & Otobong G. U. (2023). Algebraic and Topological Analysis of Enveloping Semigroups in Transformation Groups: Proximal Equivalence and Homomorphic Image.
IJO - International Journal of Mathematics, 6(12), pp. 09–23.
23. John, M. N., Okeke S. I., Nwala B. O., & G. U. O. (2024). Para-G Relations and Hirsch Length in Residually Nilpotent Groups.
IJO - International Journal of Mathematics, 7(01), pp. 01–16.
24. Etim, U. J., Udoaka O. G., & John, M. N. (2024). Weak Solutions of Nonlinear Boundary Value Problems of Partial Differential Equations Using Variational Method.
IEEE-SEM, 12(1).
25. Michael N. John, Eno John, Enyiduru Ekwomchi Hannah, Otobong J. Tom (2024). Galois Conjugacy and Fitting Height 2: Classification of Finite Solvable Groups.
Sch J Phys Math Stat, 11(1), pp. 6–10.
26. Otobong J. T., Eno J., Udeme M. U., & Michael N. J. (2024). Ulm Function Analysis of Full Transitivity in Primary Abelian Groups.
International Journal of Mathematics and Statistics Studies, 12(2), pp. 1–8.
27. Michael N. J., Sampson M. I., Igiri C. F., Udoaka O. G., Effiong L. E., Jackson Ante (2024). A Study on the Relationship Between Minimal Generating Sets and Independence in Semigroups.
International Journal of Computer Science and Mathematical Theory, 10(1).
28. Udo-Akpan Itoro Ubom & Michael N. John (2024). Enhanced Algorithm for Modular Isomorphism Problem Resolution in Small Group Orders.
International Journal of Mathematics and Computer Research, 12(3), pp. 4091–4096.
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Open to academic collaborations, conference invitations, research discussions, supervision opportunities, institutional partnerships, and interdisciplinary work across Pure Mathematics, Algebra, Group Theory, Semigroup Theory, algebraic cryptography, and AI-related mathematical systems.