-q‐Fractional Hesitant Fuzzy Multicriteria Decision‐Making Approaches for Uncertain Power System Performance Evaluation

-Enhanced MCDM Based on the TOPSIS Technique and Aggregation Operators Under the Bipolar pqr-Spherical Fuzzy Environment: An Application in Firm Supplier Selection

-Generalized Euler's Φ𝑤-function and the divisor sum 𝑇𝑘𝑤-function of edge weighted graphs

-On Gaussian Fibonacci Functions with Periodicity

-Vertex Connected Domination Polynomial of some Coalescence of Complete and Wheel Graphs

-Generalized the Divisor Sum T k -Function of Graph

-Generalized the Liouville's and Möbius functions of graph

-ON GAUSSIAN FIBONACCI FUNCTIONS WITH GAUSSIAN FIBONACCI AND FIBONACCI NUMBERS

-Generalized Euler's Φ−function of graph

-MULTIPLE CO-PRIME DIVISORS AND MULTIPLE DIVISORS GRAPHS

• Fuzzy Set Theory
• Measure Theory
• Number Theory
• Mathematical Analysis

I have taught a range of undergraduate and postgraduate courses in mathematics and related areas. My experience covers both theoretical and applied subjects, allowing me to work with diverse groups of students and learning styles.

* **Mathematical Analysis:**

Delivered rigorous lectures on limits, continuity, sequences, differentiation, and integration. Developed problem sets focused on conceptual understanding and proof-writing.

* **Complex Analysis:**

Taught analytic functions, Cauchy’s theorem, contour integration, and residue calculus. Guided students in solving real-world applications through complex methods.

* **Functional Analysis:**

Introduced Banach and Hilbert spaces, linear operators, normed spaces, and spectral theory. Ensured students gained strong foundations in abstract reasoning and theorem proving.

* **Calculus & Advanced Calculus:**

Taught differential and integral calculus in single and multivariable settings. Designed examples linking theory with physics, engineering, and optimization.

* **Number Theory:**

Lectured on divisibility, modular arithmetic, congruences, and prime number theory. Created exercises that encouraged logical thinking and hands-on problem solving.

* **Fuzzy Set Theory:**

Covered membership functions, operations on fuzzy sets, and fuzzy decision-making. Guided students in understanding extensions such as intuitionistic, pythagorean, and q-rung orthopair fuzzy sets.

* **English Language:**

Provided instruction in grammar, writing, and academic English skills for students needing language support in STEM environments.

My teaching focuses on clarity, rigorous reasoning, and connecting theory with practical applications. I use examples, visual explanations, and student engagement strategies to ensure concepts are understood deeply, not just memorized.

I have only supervised undergraduate students.

I have worked in many committees in my department.

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