About Me
My academic journey, research interests, and the tools I use
About Me
I am a Master's student in Fundamental Mathematics at the University of Mila, Algeria. My academic journey has been driven by a deep fascination with the elegance and rigor of pure mathematics, particularly in the areas of closed-form definite integrals, special functions, and advanced analysis.
My Journey
My love for mathematics began during my early education, where I was captivated by the logical structure of the subject and the elegance of rigorous proofs. This passion led me to pursue a Bachelor's degree in Mathematics at the University of Mila, where I developed a particular fascination with closed-form expressions, infinite series, and definite integrals—especially classical and famous problems in analysis.
During my undergraduate studies, I built a solid foundation in real and complex analysis, abstract algebra, and differential equations. I became increasingly interested in the search for closed forms of series and integrals, as well as the techniques used to evaluate challenging definite integrals, a theme that naturally evolved into the central focus of my graduate work and independent study.
Research
My current research, conducted under the supervision of [Advisor Name], focuses on the evaluation of definite integrals and infinite series, with an emphasis on obtaining closed-form expressions for problems arising in classical analysis. I am particularly interested in integrals and series that involve special functions, intricate transformations, or subtle convergence phenomena, especially those that appear in famous or historically significant problems.
I am also interested in:
- Closed-form evaluations of definite integrals, especially those connected to special functions and classical constants
- Infinite series, including convergence acceleration techniques and identification of closed forms
- Integral inequalities and their applications to analysis and approximation theory
Teaching & Outreach
I believe strongly in mathematical communication and enjoy sharing my knowledge through tutoring and writing. I regularly help fellow students with coursework in analysis and related areas, and I maintain this website as a platform to share mathematical ideas, problems, and resources with a wider audience.
Beyond Mathematics
When I'm not studying mathematics, I enjoy reading about the history and philosophy of science, exploring computational tools like Python and MATLAB for mathematical experimentation, and staying connected with the broader mathematical community through conferences and seminars.
Education
Master's Degree in Fundamental Mathematics
University of Mila, Algeria
Research focus on dynamical systems, advanced analysis, and topology. Thesis on the stability of discrete dynamical systems in metric spaces.
Bachelor's Degree in Mathematics
University of Mila, Algeria
Foundation in pure mathematics including real analysis, abstract algebra, topology, and differential equations. Graduated with honors.
Baccalauréat in Mathematics
Lycée Mohammed Boudiaf, Ferdjioua, Algeria
Scientific track with specialization in mathematics. Developed a strong foundation in calculus, algebra, and geometry.
1ère Année Lycée
Lycée Ayadi Berbes, Algeria
First year of secondary education with a scientific orientation.
Research Interests
Closed Form Definite Integrals
Evaluating definite integrals in closed form using advanced techniques such as differentiation under the integral sign, residue calculus, and special function identities.
Special Functions
Study of classical special functions including the Gamma function, Beta function, hypergeometric functions, and their roles in mathematical analysis and applied mathematics.
Linear Algebra
Vector spaces, linear transformations, eigenvalue theory, matrix decompositions, and their applications across pure and applied mathematics.
Advanced Analysis
Real and complex analysis, measure theory, functional analysis, and rigorous foundations of calculus and integration theory.