István Gaál | Number Theory | Best Researcher Award

Posted on by Popular Engineer

Prof. István Gaál | Number Theory | Best Researcher Award

Professor, University of Debrecen, Hungary

Prof. Dr. István Gaál, born on December 17, 1960, in Debrecen, Hungary, is a distinguished mathematician at the Institute of Mathematics, University of Debrecen. With over 30 years in academia, he has contributed significantly to number theory and algebra, focusing on Diophantine equations and algebraic number fields. He completed his studies at Kossuth Lajos University, Debrecen, before obtaining his PhD and later his Doctorate of Academy. Prof. Gaál has received numerous accolades for his work, including being a Fellow of the Alexander von Humboldt Foundation. His academic leadership and contributions to mathematical research have established him as a prominent figure in Hungary and internationally.

Profile

Orcid

Education

Prof. Dr. István Gaál began his academic journey at Kossuth Lajos University, Debrecen, where he studied Mathematics from 1979 to 1984. He earned a University Doctorate in December 1987, with his thesis on “Inhomogeneous decomposable form equations and their applications.” He continued his academic progression by earning a PhD in June 1990, focusing on “Decomposable polynomial equations and their applications.” In 1995, he obtained his PhD degree, followed by his habilitation in 1998. His scholarly pursuits culminated in a Doctor of Academy degree in 2003, for his thesis on “Constructive methods for solving Diophantine equations.”

Experience

Prof. Gaál’s career spans several decades, during which he has held notable academic and administrative positions. He served as an Assistant Professor at Kossuth Lajos University from 1987 to 1990 and was promoted to Associate Professor in 1993. He became a full Professor at the University of Debrecen in 2004. His leadership roles include Vice Director at the Institute of Mathematics and Informatics (1993-1999), Vice Dean of the Faculty of Natural Sciences (1999-2004), and Vice Rector of the University of Debrecen (2014-2015). He also served as Head of the Department of Algebra and Number Theory from 2005 to 2016. Prof. Gaál has been an editor and reviewer for major mathematical journals, including Zentralblatt für Mathematik and Mathematical Reviews, while managing several prominent research projects.

Awards and Honors

Prof. Dr. István Gaál has been honored with several prestigious awards throughout his career. He received the Kató Rényi Memory Prize (1984) for outstanding mathematical research and the Géza Grünwald Memory Prize (1988) for his contributions to number theory. In 1992, he shared the Academy Prize, reflecting his profound impact on Hungarian mathematics. Additionally, Prof. Gaál earned the Széchenyi Professor Scholarship (1998-2001) and served as a Fellow of the Alexander von Humboldt Foundation in 1991-1993. In 2020, he was awarded the Prize for Teacher Training by the University of Debrecen, recognizing his excellence in educating future generations. He also received the Brassai Sámuel Art Prize in 2020 for his overall contribution to the arts and sciences.

Research Focus

Prof. Dr. István Gaál’s research focuses primarily on number theory, with an emphasis on Diophantine equations and the monogenity of number fields. He has contributed significantly to understanding power integral bases and the algebraic structures within number theory. His work on decomposable polynomial equations and inhomogeneous decomposable form equations has advanced the field by providing new methods for solving complex equations. Additionally, his research has explored the monogenity of quartic number fields, particularly the relations within pure quartic relative extensions. Prof. Gaál’s extensive publications include influential journal articles and books that continue to shape mathematical research in these areas. His expertise in constructive methods for solving Diophantine equations is well recognized within the global academic community.

Publication Top Notes

  • On the Monogenity of Quartic Number Fields Defined by x4ax2b++ (2025) 📝
  • Monogenity and Power Integral Bases: Recent Developments (2024) 🔎
  • On the Monogenity of Pure Quartic Relative Extensions of $\mathbb{Q}(i)$ (2023) 🔢

 

Ali Mubaraki | Applied Mathematics | Best Researcher Award

Posted on by Popular EngineerLeave a Comment on Ali Mubaraki | Applied Mathematics | Best Researcher Award

Dr. Ali Mubaraki | Applied Mathematics | Best Researcher Award

Professor assistant, Taif University, Saudi Arabia.

Dr. Ali Mohammed Ali Mubaraki is an accomplished academic and researcher in the field of mathematics, currently serving as an Assistant Professor at Taif University, Saudi Arabia. He completed his Ph.D. in Mathematics from Keele University, UK, in 2021, specializing in asymptotic models for surface waves in coated elastic solids. With a rich academic background, including a Master’s from Taibah University and a Bachelor’s from King Abdulaziz University, Dr. Mubaraki’s work focuses on wave propagation, elasticity, and surface waves. He has contributed significantly to multiple publications and remains active in advanced research areas. He is an influential member of the academic community, having worked as a lecturer at the Federal University of Dutse, Nigeria, prior to his tenure at Taif University. His expertise extends to areas such as MATHEMATICA, Maple, and LaTeX, making him a valued asset in both teaching and research.

Education

Dr. Mubaraki holds a Doctor of Philosophy (Ph.D.) in Mathematics from Keele University (2021), where his thesis focused on surface wave propagation in coated elastic solids under varying conditions. Before that, he earned a Master of Science (M.Sc.) from Taibah University, Saudi Arabia (2016), where he studied nearly open sets in topological spaces, achieving a CGPA of 4.87 out of 5.0. His academic journey began with a Bachelor of Science (B.Sc.) in Mathematics from King Abdulaziz University, Saudi Arabia (2001), graduating with a CGPA of 4.27 out of 5.0. Dr. Mubaraki’s educational trajectory has been marked by excellence, supported by scholarships throughout his studies, including full-time doctorate and master’s scholarships from Taif University and the Saudi Ministry of Education.

Experience

Dr. Mubaraki’s professional experience includes his current position as Assistant Professor in the Department of Mathematics at Taif University since 2021. Prior to this, he served as a Lecturer I at the Federal University of Dutse, Nigeria, for nearly seven years (2014-2021). Additionally, Dr. Mubaraki has extensive teaching experience as a Classroom Teacher in Jizan and Madinah, Saudi Arabia, from 2001 to 2014. His teaching expertise spans a range of mathematical fields, including wave theory, elasticity, and differential equations. At Taif University, he engages in both undergraduate and graduate-level teaching while conducting cutting-edge research in mathematical modeling, wave propagation, and elasticity. He utilizes software like MATHEMATICA, Maple, and LaTeX to complement his teaching and research endeavors.

Awards and Honors

Dr. Ali Mubaraki has earned notable scholarships in recognition of his academic excellence. He was awarded a full-time Doctorate Degree Scholarship from Taif University (2015-2021), as well as a full-time Master’s Degree Scholarship from the Saudi Ministry of Education to study at Taibah University (2009-2011). These scholarships are a testament to his exceptional academic performance and research potential. Throughout his career, Dr. Mubaraki’s research contributions have gained recognition from international academic communities, further solidifying his reputation as a leading researcher in the field of mathematics. His contributions to wave propagation and elasticity models have been cited extensively in top scientific journals, affirming the significance of his work in both theoretical and applied mathematics.

Research Focus

Dr. Ali Mubaraki’s research primarily focuses on wave propagation, elasticity, and surface waves in mathematical modeling. His work explores complex phenomena such as surface waves in coated elastic solids, wave solutions in porous media, and wave behaviors under fractional temporal variation. He also investigates applications in thermoelasticity, heat interactions, and the effects of external forces on wave propagation. Dr. Mubaraki employs asymptotic methods to model wave behavior in various materials, providing valuable insights into the mechanical properties of solids under different conditions. His research extends to the analysis of solitons, nonlinear dynamics, and the effects of external fields like magnetic forces and gravitational forces. Dr. Mubaraki’s contributions are advancing both theoretical and applied mathematics, particularly in the fields of elasticity and wave propagation.

Publications

  1. Wave propagation in an elastic coaxial hollow cylinder when exposed to thermal heating and external load 📚
  2. Wave solutions and numerical validation for the coupled reaction-advection-diffusion dynamical model in a porous medium 📐
  3. Effect of fractional temporal variation on the vibration of waves on elastic substrates with spatial non-homogeneity 🌊
  4. Additional solitonic and other analytical solutions for the higher-order Boussinesq-Burgers equation 📝
  5. Explicit model for surface waves on an elastic half-space coated by a thin vertically inhomogeneous layer 🔬
  6. Surface wave propagation in a rotating doubly coated nonhomogeneous half space with application 🌐
  7. Homoclinic breathers and soliton propagations for the nonlinear (3+1)-dimensional Geng dynamical equation 🚀
  8. Heat and wave interactions in a thermoelastic coaxial solid cylinder driven by laser heating sources 🌞
  9. Propagation of surface waves in a rotating coated viscoelastic half-space under the influence of magnetic field and gravitational forces ⚛️
  10. Modeling the dispersion of waves on a loaded bi-elastic cylindrical tube with variable material constituents 🧲
  11. On Rayleigh wave field induced by surface stresses under the effect of gravity 🌍
  12. Asymptotic models for surface waves in coated elastic solids 📏
  13. Pulse-driven robot: motion via distinct lumps and rogue waves 🤖
  14. Surface waves on a coated homogeneous half-space under the effects of external forces 🌐
  15. Analysis of horizontally polarized shear waves on a highly inhomogeneous loaded bi-material plate 📊
  16. Closed-form asymptotic solution for the transport of chlorine concentration in composite pipes 🚰
  17. Optical devices: motion via breathers, rogue waves and rational solitons 💡
  18. Modeling the dispersion of waves in a multilayered inhomogeneous membrane with fractional-order infusion 🧬
  19. A New Class of Coordinated Non-Convex Fuzzy-Number-Valued Mappings with Related Inequalities and Their Applications 🧠
  20. Asymptotic Consideration of Rayleigh Waves on a Coated Orthorhombic Elastic Half-Space Reinforced Using an Elastic Winkler Foundation 📐