Mr. Molahlehi Charles Kakuli  – Lie Symmetry Analysis – Best Researcher Award

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Mr. Molahlehi Charles Kakuli  - Lie Symmetry Analysis - Best Researcher Award

Walter Sisulu University - South Africa

AUTHOR PROFILE 

SCOPUS 

ORCID 

🎓 EARLY ACADEMIC PURSUITS

Molahlehi Charles Kakuli began his academic journey with a strong foundation in mathematics and computer science at the University of Fort Hare, where he earned his B.Sc. in 2006. His passion for mathematical sciences propelled him to pursue further studies, leading to a B.Sc. Honors in Mathematics in 2008 from the same institution. Building on this solid base, he completed his M.Sc. in Applied Mathematics at Walter Sisulu University in 2018, where he delved into the complex world of Lie Symmetry Analysis, focusing on a nonlinear Fokker-Planck diffusion-convection model. Currently, Mr. Kakuli is in the final stages of his Ph.D. at the University of the Witwatersrand, Johannesburg, with a thesis centered on the double reduction theory applied to (n + 1)-dimensional scalar partial differential equations (PDEs) and systems of PDEs, aiming for graduation in May 2025.

👨‍🎓 PROFESSIONAL ENDEAVORS

Mr. Kakuli’s professional career is deeply rooted in academia, where he has been contributing as a lecturer since 2012. His journey began at Walter Sisulu University’s Applied Informatics & Mathematical Sciences department, where he taught engineering students in Butterworth until 2019. In 2020, he transitioned to the Mathematical Sciences & Computing department in Mthatha, where he continues to inspire undergraduate and postgraduate students with his in-depth knowledge and engaging teaching methodologies. His roles have extended beyond lecturing, as he has taken on responsibilities such as course design, curriculum development, and even serving as the Head of Department (HOD) on several occasions, ensuring the smooth functioning of academic activities.

📚 CONTRIBUTIONS AND RESEARCH FOCUS

Mr. Kakuli’s research interests lie at the intersection of theoretical mathematics and practical applications. His primary focus is on Lie’s symmetry analysis of differential equations, a powerful tool for solving complex equations by leveraging their inherent symmetries. His contributions in this area include advanced mathematical techniques that enhance the understanding and Lie Symmetry Analysis solutions of PDEs. Through his Ph.D. research, he has expanded the theoretical framework and provided new insights into the application of double reduction theory in higher-dimensional PDEs.

🌟 ACCOLADES AND RECOGNITION

Throughout his academic and professional journey, Mr. Kakuli has garnered respect and recognition for his dedication and contributions to mathematics. His work in Lie Symmetry Analysis Lie Symmetry Analysis has been well received by the academic community, earning him a place among notable researchers in his field. His teaching excellence and commitment to student mentorship have further cemented his reputation as a respected educator and mentor at Walter Sisulu University.

👨‍🔧 IMPACT AND INFLUENCE

Mr. Kakuli’s impact extends beyond his research contributions to his role as an educator and mentor. He has significantly influenced the academic paths of many students, guiding them through complex mathematical concepts and fostering a deep appreciation for the subject. His involvement in curriculum development and departmental planning has also shaped the Lie Symmetry Analysis academic structure and quality of education at Walter Sisulu University, ensuring that students receive a well-rounded and robust mathematical education.

🔗 LEGACY AND FUTURE CONTRIBUTIONS

As Mr. Kakuli approaches the completion of his Ph.D., he stands at the cusp of further significant contributions to the field of mathematics. His ongoing research and teaching endeavors are set to leave a lasting legacy in both the academic and scientific communities. His commitment to bridging theoretical mathematics with real-world applications ensures that his future contributions will continue to push the boundaries of mathematical sciences, making a meaningful impact on both academic research and practical problem-solving.

NOTABLE PUBLICATIONS 

  • Title: Application of the Generalized Double Reduction Method to the (1+1)-Dimensional Kaup–Boussinesq (K–B) System: Exploiting Lie Symmetries and Conservation Laws
    Authors: Molahlehi Charles Kakuli
    Journal: Partial Differential Equations in Applied Mathematics
    DOI: 10.1016/j.padiff.2024.101004
  • Title: Symmetry Reductions of the (1+1)-Dimensional Broer–Kaup System Using the Generalized Double Reduction Method
    Authors: Molahlehi Charles Kakuli, Winter Sinkala, Phetogo Masemola
    Journal: Axioms
    DOI: 10.3390/axioms13100725
  • Title: Conservation Laws and Symmetry Reductions of the Hunter–Saxton Equation via the Double Reduction Method
    Authors: Molahlehi Charles Kakuli, Winter Sinkala, Phetogo Masemola
    Journal: Mathematical and Computational Applications
    DOI: 10.3390/mca28050092

Dr. Sarah Aljohani  – algebra – Best Researcher Award 

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Dr. Sarah Aljohani  - algebra - Best Researcher Award 

Prince Sultan University - Saudi Arabia

Author Profile 

SCOPUS 

ORCID 

🎓 EARLY ACADEMIC PURSUITS

Sarah Aljohani's academic journey began with a deep passion for mathematics, leading her to earn a Bachelor's Degree in Mathematics from King Saud University in Riyadh, Saudi Arabia. Her commitment to the field was further solidified during her Master’s studies at the University of Missouri, St. Louis, where she delved into advanced mathematical theories and honed her expertise. Culminating her academic pursuits, Sarah earned a Ph.D. in Mathematics from Saint Louis University, where her dissertation focused on the "Generalizations of Prime Ideals for Leavitt Path Algebras," reflecting her innovative approach to mathematical research.

🏛️ PROFESSIONAL ENDEAVORS

Sarah's professional career spans over eight years in academia, where she has excelled as a mathematician and educator. She began as a lecturer at Saint Louis University, where she designed and taught engaging mathematics courses, conducted research, and guided students toward academic success. Returning to Saudi Arabia, Sarah continued to inspire students as an Assistant Professor at the Arab Open University and later at Prince Sultan University. Her teaching repertoire includes statistics, mathematics for business, and other specialized courses, complemented by her active participation in institutional committees.

🔢 CONTRIBUTIONS AND RESEARCH FOCUS

A mathematician with a robust foundation in cryptography, Sarah has significantly contributed to enhancing data security through advanced mathematical principles. Her research explores algebra numerical analysis, algebra, and applied numerical computing, with a focus on cryptographic solutions for modern challenges. Her dissertation on Leavitt Path Algebras has provided valuable insights into abstract algebra, enriching the mathematical community's understanding of prime ideals and their generalizations.

🏅 ACCOLADES AND RECOGNITION

Sarah's achievements underscore her excellence in mathematics. She was a Grand Awards Judge at the prestigious Regeneron International Science and Engineering Fair in May 2023, a testament to her expertise and leadership in the field. During her doctoral studies, she maintained an exceptional GPA of 3.96/4, earning an assistance ship from Saint Louis University. As a algebra speaker, she has represented her research at international conferences, such as "Emerging Trends in Pure and Applied Mathematics" and "AMS 2021 Spring Sectional Meetings," further solidifying her reputation as a thought leader.

🌍 IMPACT AND INFLUENCE

Sarah’s work has a far-reaching impact, particularly in integrating mathematical principles with cryptographic applications. Her research publications, including a paper in the journal algebra Communications in Algebra, have advanced the theoretical framework of algebra. As an educator, Sarah has profoundly influenced her students by fostering critical thinking and analytical skills, preparing them to address complex challenges in mathematics and related fields.

✨ LEGACY AND FUTURE CONTRIBUTIONS

Looking ahead, Sarah aims to further her contributions to mathematics and cryptography, driving innovation in data security and encryption. Her dedication to teaching and research ensures her continued influence in shaping the next generation of mathematicians. By integrating advanced analytics with creative problem-solving, Sarah envisions developing groundbreaking solutions that address contemporary issues in mathematics and its applications.

Notable Publications 

  • Title: Double Composed Metric-Like Spaces via Some Fixed Point Theorems
    Authors: Anas A. Hijab, Laith K. Shaakir, Sarah Aljohani, Nabil Mlaiki
    Journal: AIMS Mathematics
  • Title: Elementary Function-Based Fermatean Fuzzy Similarity Measures: Applications to Medical Pattern Recognition and Multi-Criteria Decision-Making
    Authors: Zhe Liu, Donglai Wang, Sukumar Letchmunan, Sarah Aljohani, Nabil Mlaiki
    Journal: IEEE Access
  • Title: Generalised Ulam-Hyers Stability Analysis for System of Additive Functional Equation in Fuzzy and Random Normed Spaces: Direct and Fixed Point Approach
    Authors: P. Agilan, K. Julietraja, Sarah Aljohani, Nabil Mlaiki
    Journal: International Journal of Analysis and Applications
  • Title: Exploring the Influence of Generalized Kernels on Green’s Function in Fractional Differential Equations
    Authors: Sarah Aljohani, Maliha Rashid, Amna Kalsoom, Nabil Mlaiki
    Journal: International Journal of Analysis and Applications
  • Title: Existence and Uniqueness Solutions of Multi-Term Delay Caputo Fractional Differential Equations
    Authors: Gunaseelan Mani, Purushothaman Ganesh, Karnan Chidhambaram, Sarah Aljohani, Nabil Mlaiki
    Journal: International Journal of Analysis and Applications