Free University Berlin - Germany

Author Profile

🔍 Early academic pursuits

Heinrich gottfried werner begehr his academic path began with an enduring interest in mathematics, leading to a diploma (dipl. math.) in 1966 from the free university (fu) of berlin. his doctoral research, completed in 1968 under the supervision of alexander dinghas, focused on der beitrag zum satz von picard-borel-nevanlinna auf riemannschen flächen, marking his early commitment to complex analysis. he followed up with his habilitation in 1970, with a thesis on the wertverteilung approximativ analytischer funktionen, establishing a foundation for his lifelong research trajectory.

🧑‍🏫 Professional endeavors

Begehr's professional career has been closely associated with the free university of berlin, where he started as an assistant in 1966, progressed to a tenured assistant in 1969, and became an associate professor in 1970. from 1972 to 2004, he served multiple terms as director of the first mathematics institute at fu berlin. beyond his academic base, begehr contributed significantly as a guest professor in numerous institutions worldwide including universities in the usa, china, japan, poland, kazakhstan, and russia. his commitment to international collaboration led to long-standing educational exchanges and research development, with emerging themes that indirectly intersect with mathematical foundations applicable in power electronics and computational modeling.

📘 Contributions and research focus

Heinrich Begehr has specialized in complex analysis, elliptic equations, and applied mathematical analysis. his research has consistently bridged theoretical and applied domains, with notable relevance in systems that resemble signal processing and modeling structures, often seen in modern power electronics. his influence extends to analytical functions, approximation theory, and Mathematics differential equations, laying mathematical groundwork with practical applications in scientific computing. his editorial work and mentorship have promoted interdisciplinary approaches that inform both theoretical and engineering contexts.

🌍 Impact and influence

Through his editorships and board memberships in over 20 mathematical journals, including complex variables and elliptic equations and advances in pure and applied mathematics, begehr has Mathematics shaped the direction of global mathematical research. he was a founding leader in the international society for analysis, its applications and computation (isaac), serving as president, secretary, and treasurer for over two decades. the society became a platform fostering collaboration in areas such as mathematical analysis and its intersections with physical sciences—including areas like power electronics where computational accuracy and modeling are critical. he also held several leadership roles within the berlin mathematical society.

🏛️ Academic sites and affiliations

Heinrich Begehr is a member of multiple prestigious academies, including the russian academy of natural sciences (armenian branch, since 2002) and the european academy of sciences (since 2004). his official academic profiles are accessible through isaac’s homepage and fu berlin’s departmental site. he maintains visibility through a long-standing presence in the orcid registry, Mathematics marking his scholarly contributions and collaborations.

🧾 Legacy and future contributions

Even after his retirement in 2004, begehr continues to influence the mathematical community through editorial leadership, global academic visits, and as a guiding figure in complex analysis. his structured approach to mathematical theory serves as a pedagogical model for future researchers. the cross-disciplinary reach of his work, especially where mathematics underpins evolving fields like signal systems, electrical circuit theory, and power electronics, ensures his contributions remain impactful. future generations of mathematicians and engineers will continue to draw upon his theoretical constructs and commitment to global scholarly exchange.

Notable Publications

Title: Hyperbolic tessellation: harmonic Green function for a Schweikart triangle in hyperbolic geometry
Author(s): Heinrich Begehr
Journal: Complex Variables and Elliptic Equations
Title: A Neumann problem for the polyanalytic operator in planar domains with harmonic Green function
Author(s): Mohamed Akel, Heinrich Begehr, Alip Mohammed
Journal: Applicable Analysis
Title: A pair of rational double sequences
Author(s): Serik Altynbek, Heinrich Begehr
Journal: Georgian Mathematical Journal
Title: One Century since Bergman, Szegö and Bochner
Author(s): Heinrich Begehr, Saburo Saitoh
Journal: International Journal of Reproducing Kernels
Title: 1, 2, 3, 1,2,3, some inductive real sequences and a beautiful algebraic pattern
Author(s): Sarsengali Abdygalievich Abdymanapov, Serik Altynbek, Anton Begehr, Heinrich Begehr
Journal: Analysis

Assoc. Prof. Dr. Mohamed Ali El Sayed Fahim – applied mathematics – Best Researcher Award

Posted on 19/04/202519/04/2025 by Innovator Awards

Assoc. Prof. Dr. Mohamed Ali El Sayed Fahim - applied mathematics - Best Researcher Award

Basic sciences department -faculty of engineering - Egypt

Author Profile

SCOPUS

ORCID

🎓 Early academic pursuits

Mohamed Ali El Sayed Fahim his academic journey began with a passion for engineering and mathematics, culminating in a bachelor's degree in electrical engineering with a specialization in measurements and controls from benha university in 2008. earning a "very good with honors" distinction, he demonstrated early on a strong foundation in technical sciences, particularly in power electronics and engineering mathematics. his growing interest in advanced mathematical modeling led him to pursue postgraduate studies in mathematical programming and operations research.

👨‍🏫 Professional endeavors

Fahim's professional academic career began in 2009 as a demonstrator of engineering mathematics at the faculty of engineering, benha university. over the next several years, he steadily rose through academic ranks, from assistant teacher in 2014 to lecturer in 2018, and ultimately to associate professor in 2023. he served at both benha university and bader university in cairo (buc), where he has been a cornerstone in the department of basic engineering sciences.

📚 Contributions and research focus

Associate professor fahim’s primary research interests lie in mathematical programming, operations research, and multi-objective optimization. his academic work bridges theory with applied mathematics engineering applications, offering solutions to complex, uncertain systems.

🌍 Impact and influence

Fahim’s research has significantly influenced both academic and industrial spheres. his work on multi-level programming and uncertain optimization models has been applied in engineering applied mathematics contexts, especially where systems like power electronics require precise and adaptive control methods.

📈 Academic citations and recognitions

Mohamed Fahim is a registered researcher on international platforms such as orcid and scopus. he is recognized for his scholarly productivity, particularly in the fields of operations research applied mathematics and mathematical modeling. his citation metrics on scopus reflect the growing relevance of his research in global academic circles.

🧭 Legacy and future contributions

Looking ahead, fahim envisions continuing his work at the intersection of mathematics and engineering. his goal is to advance optimization algorithms that can support next-generation technologies, particularly within power electronics systems and intelligent control networks.

Notable Publications

Title: Two TOPSIS-Based Approaches for Multi-Choice Rough Bi-Level Multi-Objective Nonlinear Programming Problems
Authors: Mohamed A. El Sayed, Farahat A. Farahat, Mohamed A. Elsisy, Maazen Alsabaan, Mohamed I. Ibrahem, Haitham Elwahsh
Journal: Mathematics
Title: Performance Analysis of Fully Intuitionistic Fuzzy Multi-Objective Multi-Item Solid Fractional Transportation Model
Authors: Sultan Almotairi, Elsayed Badr, M. A. Elsisy, F. A. Farahat, M. A. El Sayed
Journal: Fractal and Fractional
Title: Multi-choice fractional stochastic multi-objective transportation problem
Authors: M. A. El Sayed, Ibrahim A. Baky
Journal: Soft Computing
Title: The Karush–Kuhn–Tucker (KKT) optimality conditions for fuzzy-valued fractional optimization problems
Authors: Deepika Agarwal, Pitam Singh, M. A. El Sayed
Journal: Mathematics and Computers in Simulation
Title: Stability of Parametric Intuitionistic Fuzzy Multi-Objective Fractional Transportation Problem
Author: M. A. El Sayed
Journal: Fractal and Fractional

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

Posted on 09/01/202509/01/2025 by Innovator Awards

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

Assist. Prof. Dr Shahid Hussain – Computational Mathematics – Best Researcher Award

Posted on 24/12/202424/12/2024 by Innovator Awards

Assist. Prof. Dr Shahid Hussain - Computational Mathematics - Best Researcher Award

College of mathematics and System Sciences , Xinjiang University Urumqi - China

Author Profile

ORCID

📘 Early academic pursuits

Dr. Shahid Hussain embarked on his academic journey with a strong foundation in mathematics, earning a bachelor of science in mathematics (honors) from karakoram international university, pakistan. his early passion for numerical analysis and computational techniques was evident as he pursued his ms/m.phil in mathematical modeling and scientific computing from air university, islamabad, where he specialized in numerical solutions of partial differential equations and computational fluid dynamics. this academic trajectory set the stage for his research career in applied mathematics.

🧮 Professional endeavors

Following his academic achievements, dr. hussain pursued a ph.d. in applied mathematics with a focus on finite element methods at east china normal university, shanghai. his professional career is marked by teaching and research roles, where he has made significant contributions to computational mathematics. currently affiliated with xinjiang university, urumqi, china, dr. hussain has demonstrated expertise in magnatohydrodynamics, viscoelastic fluids, and fluid-fluid interaction, contributing to both theoretical and applied advancements in the field.

🔍 Contributions and research focus

Dr. Hussain’s research is centered on developing and applying numerical methods to solve complex problems in computational fluid dynamics and mathematical modeling. his work in finite Computational Mathematics element and finite difference methods has provided insights into the behavior of viscoelastic fluids and fluid interactions under various physical conditions. these contributions have not only advanced understanding in the field but also opened pathways for further exploration in magnatohydrodynamics and fluid mechanics.

🏅 Accolades and recognition

Throughout his career, dr. hussain has been recognized for his commitment to excellence in both teaching and research. his dedication and achievements have positioned him as a respected Computational Mathematics figure in computational mathematics. his ability to foster a collaborative and innovative environment among peers and students has earned him accolades in academic and research settings.

🌟 Impact and influence

Dr. Hussain’s influence extends beyond his immediate research outputs. as an educator, he has mentored students and researchers, instilling in them a passion for problem-solving and critical Computational Mathematics thinking. his collaborative approach and innovative methods have inspired a new generation of mathematicians to pursue challenging and impactful research.

🧭 Legacy and future contributions

With a solid foundation in applied mathematics and a vision for future advancements, dr. hussain aims to continue contributing to the fields of computational mathematics and fluid dynamics. his ongoing research and teaching endeavors promise to leave a lasting legacy, bridging theoretical advancements with real-world applications in science and engineering.

Notable Publications

Stabilization of interconnected models with Nitsche's interface conditions using the two-grid approach: A finite element study
- Authors: Shahid Hussain, Md. Abdullah Al Mahbub, Xinlong Feng, Fateh Ali Rana, Fazal Haq, Arshad Hussain
- Journal: Physics of Fluids
On Fractional Operators Involving the Incomplete Mittag-Leffler Matrix Function and Its Applications
- Authors: Ahmed Bakhet, Shahid Hussain, Mohra Zayed
- Journal: Symmetry
A Linear Stabilized Incompressible Magnetohydrodynamic Problem with Magnetic Pressure
- Authors: Shahid Hussain, Ahmed Bakhet, Ghada AlNemer, Mohammed Zakarya
- Journal: Mathematics
Optimization and sensitivity analysis of heat transfer for Powell–Eyring fluid between rotating rolls with temperature-dependent viscosity: A mathematical modeling approach
- Authors: Fateh Ali, Yanren Hou, Xinlong Feng, J. K. Odeyemi, M. Zahid, Shahid Hussain
- Journal: Physics of Fluids
Entropy optimization in bio-convective chemically reactive flow of micropolar nanomaterial with activation energy and gyrotactic microorganisms
- Authors: Shahid Hussain, Fazal Haq, Hassan Ali Ghazwani, Muzher Saleem, Arshad Hussain
- Journal: Case Studies in Thermal Engineering