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CURRICULUM VITA
Mohammed Lamine Nadji
Assistant Professor, Class B
Department of Operations Research
RECITS laboratory
University of Science and Technology Houari Boumediene
Research Interests
Research Interests
Discrete Mathematics, Applied Mathematics, Operations Research, Number Theory, Combinatorics, Integer Partitions, Theoretical Computer Science, Combinatorial Optimization, Graph Theory, Linear Programming, Multi-objective Optimization, Data Mining, Artificial Neural Network.
My Ph.D. thesis explores new classes of integer partitions, examining their combinatorial and arithmetic properties, as well as their connections to prominent theorems in partition theory.
Education
Education
University of Science and Technology Houari Boumediene, Algiers, February 2025
Ph.D. in Applied Mathematics (Very Honorable, with Committee Praise)
Specialization: Operations Research, Discrete Mathematics
Thesis Adviser: Professor Moussa Ahmia
Thesis Title: Arithmetic and Combinatorial Study of Partition and Overpartition Functions
Yahia Fares University, Medea, September 2020
M.Sc. in Applied Mathematics (Distinction, 18/20)
Specialization: Operations Research
Adviser: Dr. Mohammed Benatallah
Dissertation Title: The Effect of Adding a Path Between Two Vertices on The Connected Domination Number
Chapter 3 of this dissertation was published as:
Mohammed L. Nadji, Mohamed Benatallah, and Ibrahim Boufelgha, Changing and unchanging of the connected domination number. J. Combin. Math. Combin. Comput. To Appear
Yahia Fares University, Medea, May 2018
B.S. in Mathematics
Teaching Experience
Teaching Experience
Assistant Professor Class B ,University of Science and Technology Houari Boumediene, Algiers, Algeria (September 2025 - present day).
Undergraduate: MATH 03
Undergraduate: MATH 03
Yahia Fares University, Medea (2021/2022 - 2022/2023 -2024/2025)
Chapter 1: Multiple Integrals
1.1 Review of the Riemann Integral and Antiderivative Calculation
1.2 Double and Triple Integrals
1.3 Applications to the Calculation of Areas, Volume...
Chapter 2: Improper Integrals
2.1 Integrals of Functions Defined on an Unbounded Interval
2.2 Integrals of Functions Defined on a Bounded Interval, Infinite at One of the Endpoints
Chapter 3: Differential Equations
3.1 Review of Ordinary Differential Equations
3.2 Partial Differential Equations
3.3 Special Functions
Chapter 4: Series
4.1 Numerical Series
4.2 Sequences and Series of Functions
4.3 Power Series, Fourier Series
Chapter 5: Fourier Transform
5.1 Definition and Properties
5.2 Application to Solving Differential Equations
Chapter 6: Laplace Transform
6.1 Definition and Properties
6.2 Application to Solving Differential Equations
Undergraduate: Algebra II
Undergraduate: Algebra II
Yahia Fares University, Medea (2024/2025)
Chapter 1: Vector Space
1.1 Definition of a vector space and a subspace, direct sum
1.2 Generating set, generated subspace
1.3 Linear independence, basis, and dimension
1.4 Rank and row-reduction
Chapter 2: Linear Map
2.1 Definition and properties of linear maps in finite dimensions
Chapter 3: Matrix
3.1 Concept of a matrix
3.2 Matrices associated with a linear map and their properties
3.3 The ring of square matrices and its properties
3.4 Rank of a matrix, regular (invertible) matrices, and some inversion methods
3.5 Similar matrices and equivalent matrices
Chapter 4: Systems of Linear Equations
4.1 Cramer's System (Cramer's Rule)
Undergraduate: Analysis I
Undergraduate: Analysis I
University of Science and Technology Houari Boumediene, Algiers (2025/2026)
Chapter 1: Properties of the Set of Real Numbers
1.1 Definition of a real number
1.2 Fundamental properties of real numbers : Absolute value, integer part
1.3 Parts or subsets of the set of real numbers
1.3.1 Upper and lower bounds of a part of R
1.3.2 Greatest element and smallest element of a part of R
1.3.3 Supremum, infimum of a part of R
Chapter 2: Real number sequences
2.1 Definition of a sequence, definition of a convergent sequence and a divergent sequence
2.2 Criteria for convergence of a sequence (comparison, convergence theorem for monotonic sequences)
2.3 Adjacent sequences
2.4 Sub-sequences
2.5 Special sequences (arithmetic, geometric, and recursive)
Chapter 3: Functions of real variable
3.I Review of basic functions
3.I.1Trigonometric functions (periodicity, parity, graphs, solving trigonometric equations and inequalities)
3.I.2 New functions introduced (hyperbolic functions) (definition, parity, monotonicity, graph)
3.II. Continuous functions
3.II.1 Calculating limits and studying continuity
3.II.2 Some fundamental theorems of continuous functions on an interval
3.II.2.1 Continuous function on an interval
3.II.2.2 Intermediate value theorem
3.II.2.3 Reciprocal functions and monotonic bijection theorem
3.II.3.1 Definition of a reciprocal function
3.II.3.2 Theorem on the existence of the reciprocal function (monotonic bijection theorem)
3.II.3.3 Application of the theorem (definition of reciprocal trigonometric functions and reciprocal hyperbolic functions)
Chapter 4: Differential Calculus (Differentiability)
4.1 Differentiability at a point (derived number), Differentiability on the right and on the left of a point
4.2 Geometric interpretation of differentiability, concept of the differential
4.3 Differentiability over an interval, derivative function, and calculation of derivatives (derivatives of composite functions, reciprocal functions)
4.4 Some fundamental theorems of differential calculus (Rolle's theorem, mean value theorem, Hospital's rule)
4.5 Higher-order derivatives (successive derivatives)
Chapter 5: Integral Calculus
5.1 Antiderivative or primitive function and indefinite integrals
5.2 Definite integrals (definition, Chasles's relation, and the mean value formula)
5.3 Methods for calculating integrals
5.3.1 Direct methods
5.3.2 Integration by parts
5.3.3 Integration by change of variable
5.3.4 Integration of rational functions
5.4 Integration of some specific functions
5.5 Application of integral calculus
Undergraduate: Analysis II
Undergraduate: Analysis II
University of Science and Technology Houari Boumediene, Algiers (2025/2026)
Chapter 1: Ordinary differential equations
1.1 First-order ordinary differential equations
1.1.1 Form of a first-order differential equation with some physical models
1.1.2 Solving differential equations with separated variables
1.1.3 First-order linear differential equations
1.2.1 Solving the equation without the associated second member
1.2.2 Search for a particular solution for the complete equation.
Internships
Internships
Sabancı University, Faculty of Engineering and Natural Sciences, Türkiye
September - October, 2024
Enumerative combinatorics and its applications to partition theory and q-series.
Internship supervisor: Dr. Kağan Kurşungöz
Conferences and Talks
Conferences and Talks
The 140th talk of 'RECITS SEMINAR', Algiers, Algeria, December 2024
Journées Scientifiques du Laboratoire RECITS (JSL' 24), Algiers, Algeria, November 2024
International Colloquium on Methods and Tools for Decision Support, Tizi-Ouzou, Algeria, October 2024
The First International Conference on Nonlinear Mathematical Analysis and its Applications, Bordj Bou Arreridj, Algeria, May 2024
The 117th talk of 'RECITS SEMINAR', Algiers, Algeria, October 2023
International Conference on Contemporary Mathematics and its Applications, Mila, Algeria, May 2023
Journées Scientifiques du Laboratoire RECITS (JSL' 22), Algiers, Algeria, October 2022
The Second Conference on Mathematics and Applications of Mathematics, Jijel, Algeria, September 2022
Publications
Publications
Mohammed L. Nadji, Mohammed Benatallah, and Ibrahim Boufelgha, Changing and unchanging of the connected domination number of a graph. J. Combin. Math. Combin. Comput. To Appear
Submitted Papers
Submitted Papers
Mohammed L. Nadji, Moussa Ahmia and José L. Ramirez, Arithmetic properties of partitions into parts simultaneously biregular and distinct.
Mohammed L. Nadji and Moussa Ahmia, On the arithmetic properties of paritions into parts simultaneously 4-regular and 9-distinct.
Mohammed L. Nadji and Moussa Ahmia, Arithmetic properties of overpartition analogue of the Andrews-Göllnitz-Gordon theorem.
Mohammed L. Nadji and Moussa Ahmia, Arithmetic properties of partitions enumerated by the Andrews-Göllnitz-Gordon theorem.
Mohammed L. Nadji, Manjil P. Saikia and James A. Sellers, Arithmetic properties of t-Schur overpartitions.
El-Mehdi Mehiri and Mohammed L. Nadji, The power contamination problem on grids revisited: optimality, combinatorics, and links to integer sequences.
Scientific societies
Scientific societies
American Mathematical Society.
Journal Referee
Journal Referee
References
References
Faculty of Sciences, Department of Mathematics, University of Mohamed Seddik Ben Yahia, Jijel, Algeria
e-mail: moussa.ahmia@univ-jijel.dz
Faculty of Mathematics, Department of Operations Research, University of Science and Technology Houari Boumediene, Algiers, Algeria
e-mail: hbelbachir@usthb.dz
Dr. Mohammed Benatallah
Faculty of Sciences, Department of Mathematics and Computer Science, Ziane Achour University, Djelfa, Algeria
e-mail: m.benatallah@univ-djelfa.dz
Department of Mathematics, The National University of Colombia, Bogota, Colombia
e-mail: jlramirezr@unal.edu.co
Sabancı University, Faculty of Engineering and Natural Sciences, Türkiye
e-mail: kursungoz@sabanciuniv.edu
Department of Mathematics and Computer Science, College of the Holy Cross, Massachusetts, USA
e-mail: cballant@holycross.edu
Social Media
Social Media
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