I supervised the following undergraduate research projects

(1) Hossam Shoman: On partitioning of positive Integers.

(2) AlaEddin Douba: On multiplicative groups module n with identity different from one.

 

(3) Taha Ameen Ur Rahman: Z_n Graphs

He spends summer 2019 as research intern at Finnish university

2020-2025: PhD at the University of Illinois at Urbana-Champaign (UIUC), where he recently (2021) received the prestigious James Henderson Fellowship.

(4) Reem Mahmoud : Rings of the form {a + bi| a, b in Z_n}; ( received a Ph.D in Graph Theory at Virginia Commonwealth University, USA, 2024.).

5) Fall 2020 (Covid 19+): Saood Almarzooqi, "Zero-divisor graph of integers module n (Z_n)."

Saood's presentation on youtube

6) Spring 2023: Aline Jerman, Partition Z_n into multiplicative groups

7) Spring 2023: Dara Varam, Construction of Multiplicative Groups of
Polynomials with Non-Zero Identities in (Z_p[x])_m(x)

Fall 2024: Five undergraduate senior projects.

1. Abdelrahman Mohamad Hamzeh: On Jordan and Rational Forms
of n × n Matrices

2. Joshua Thomas: The Z-Graph

3. Mohamad Jawad Ahmad Kaddoura: Prime-Coefficient Graphs from
the Gaussian Ring of Integers Modulo n

4. Rumisal Saleem Khan: : Linear Algebra Over Zn

5. Valid Jerman: The Annihilator Graph of Zn

 

I supervised the following Master Thesis

1) Mohammad Abdullah (pursuing a Ph.D in Math at the University of Potsdam, Germany.);

His thesis is published here (Web of Science and Scopus)

2) Yasmeen El-Ashi

Yasmeen's Thesis is published here.

Fall 24 and Spring 25: Three master thesis

1. Djamila AitElhadi: : The n-total graph of a commutative ring, the paper will appear in AMS Contemporary Mathematics.

2. Myriam Abi Habib: The n-total graph of an Integral Domain.

3. Imane Sahel: On Some Quadratic Diophantine Equations and Semiperfect Numbers