[file name]: research.html [file content begin] Research - LAMDA-RO

Research Excellence

Pioneering mathematical research across theoretical frontiers and real-world applications

6 Core Research Areas 26+ Doctoral Projects 150+ Publications
6 Research Teams
26+ Doctoral Students
150+ Publications
3 Emerging Areas
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New Research Perspectives

Exploring cutting-edge intersections between mathematics and emerging technologies to address complex real-world challenges.

Applied Mathematics in Industry and Services

Bridging theoretical mathematics with practical industrial applications through advanced mathematical modeling and computational methods.

Key Research Directions
  • Supply Chain Optimization: Mathematical models for logistics and distribution
  • Manufacturing Process Optimization: Operations research for production efficiency
  • Financial Mathematics: Risk assessment and algorithmic trading models
  • Energy Sector Applications: Renewable energy integration and grid optimization
  • Healthcare Operations: Resource allocation and patient flow optimization
  • Service Industry Analytics: Customer service and queue management
Methodologies
Stochastic Optimization Multi-objective Decision Making Game Theory Network Optimization Time Series Analysis
Research Keywords
Supply Chain Optimization Process Engineering Financial Modeling Energy Systems Healthcare Analytics Service Operations Stochastic Optimization Industrial Mathematics

Artificial Intelligence Applied to Mathematics

Exploring the synergy between artificial intelligence and mathematical sciences to advance both fields through innovative methodologies.

Key Research Directions
  • Automated Theorem Proving: AI-assisted mathematical proof discovery
  • Mathematical Problem Solving: ML applications for complex problems
  • AI-Enhanced Modeling: Neural networks for parameter estimation
  • Symbolic Mathematics: Combining symbolic computation with ML
  • Mathematical Discovery: Pattern identification and conjectures
  • Explainable AI: Mathematical frameworks for AI interpretation
Methodologies
Deep Learning Reinforcement Learning Genetic Algorithms Natural Language Processing Graph Neural Networks
Research Keywords
Machine Learning Automated Theorem Proving Neural Networks Symbolic AI Mathematical Discovery Explainable AI Reinforcement Learning AI in Mathematics

Digital Twins

Developing mathematical frameworks for creating virtual replicas of physical systems for simulation, analysis, and predictive control.

Key Research Directions
  • Mathematical Foundations: Theoretical frameworks for digital representations
  • Real-time Data Integration: Dynamic simulation with sensor data
  • Predictive Maintenance: Failure prediction and optimization
  • Urban Digital Twins: City-scale planning and management
  • Manufacturing Twins: Production system optimization
  • Healthcare Twins: Patient-specific treatment planning
Methodologies
Differential Equations Multi-scale Modeling Data Assimilation Uncertainty Quantification Real-time Optimization
Research Keywords
Digital Twins Virtual Simulation Real-time Modeling Predictive Maintenance Urban Planning Manufacturing Optimization Healthcare Modeling Data Assimilation

Core Research Areas

Foundational mathematical research driving innovation across multiple domains with both theoretical depth and practical applications.

Mathematical Analysis

Theoretical foundations and applications in differential equations, functional analysis, and numerical methods.

  • Nonlinear ODEs and PDEs
  • Fractional calculus applications
  • Numerical approximations
  • Fixed point theory
Differential Equations Functional Analysis Numerical Methods Fractional Calculus

Graph Theory

Combinatorial optimization, domination theory, and network algorithms with practical applications.

  • Domination theory variants
  • Roman domination
  • Vertex and edge coloring
  • Complexity analysis
Domination Theory Combinatorial Optimization Network Algorithms Graph Coloring

Operations Research

Modeling and optimization of complex systems through queueing theory, simulation, and game theory.

  • Queueing systems analysis
  • Simulation methodologies
  • Reliability engineering
  • Supply chain optimization
Queueing Theory Simulation Reliability Game Theory

Statistics & Probability

Advanced statistical methods for risk analysis, time series, and extreme value theory applications.

  • Extreme value theory
  • Risk measures and copulas
  • Time series analysis
  • Bayesian statistics
Extreme Value Theory Risk Analysis Time Series Bayesian Methods

Algebra & Number Theory

Pure mathematical investigations in number theory, combinatorics, and algebraic structures.

  • Elementary number theory
  • Combinatorics
  • Witt rings
  • Cryptography applications
Number Theory Combinatorics Algebraic Structures Cryptography

Fractional Calculus

Advanced fractional operators and their applications across physics, engineering, and interdisciplinary domains.

  • Fractional operators
  • Differential equations
  • Interdisciplinary applications
  • Numerical methods
Fractional Operators Differential Equations Interdisciplinary Numerical Analysis

Doctoral Research

Cutting-edge doctoral research projects advancing mathematical knowledge across diverse domains under expert supervision.

LMD Doctorate Program
# Researcher Start Date Supervisors Research Topic
1 LAMOURI Meriem 12/04/2021 RASSOUL Abdelaziz (Prof. ENSH Blida)
TAMI Omar (MCB, Univ. Blida 1)		 Statistical inference of risk measures based on expectiles for Pareto-type models
2 DAHMANI Achaima 12/04/2021 HACHAMA Mohamed (Prof. ENSM Sidi Abdallah)
BENBACHIR Maamar (Prof. ENSM Sidi Abdallah)		 Fractional differential equations applied to image processing
18 RABER Dalila March 2025 DAHMANI Zoubir (Prof. Univ. Blida 1)
YAZID Gouari (MCA ENS-Mostaganem)		 Fractional integral inequalities: applications to differential equations and integral equations
Science Doctorate Program
# Researcher Start Date Supervisors Research Topic
1 KADIK Fatiha 22/12/2012 EL HADI Djamel (MCA USDB)
RASSOUL Abdelaziz (Prof. ENSH)		 Statistical and stochastic study of a nonlinear mathematical model: Application in hydrocarbon domains
8 BENKACI Azzedine 2021/2022 BOUCHOU Ahmed (MCA Univ de Médéa) Study of problems related to dominant coloring and dominated coloring in graphs

Interested in Doctoral Research?

Join our vibrant research community and contribute to cutting-edge mathematical discoveries.

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