Career Opportunities: PhD Positions in Mathematics & Decision

Vanguard works on the development of innovative and interdisciplinary applied research projects. From technological innovation to the transfer of research to industry, Vanguard has also the mission of developing an ecosystem of related start-ups.

Welcome to the Mathematics & Decision Graduate Program at UM6P. Our program is designed to equip students with advanced mathematical skills and decision-making capabilities essential for addressing complex problems in various industries and research fields.

Our interdisciplinary curriculum bridges theoretical mathematics and practical decision sciences, preparing graduates to apply mathematical models and analytical techniques to real-world scenarios. 

The primary objectives of the Mathematics & Decision Graduate Program are to:

• Develop a deep understanding of advanced mathematical concepts and their applications.
• Enhance analytical and problem-solving skills.
• Equip students with the ability to formulate and solve complex decision-making problems.
• Prepare graduates for careers in academia, industry, and government sectors.

Career Prospects:

Graduates of our program are well-prepared for a variety of career paths, including:

• Academia: Pursuing doctoral studies or academic positions in mathematics, statistics, and related fields.
• Industry: Working as data scientists, operations researchers, financial analysts, and consultants in sectors such as finance, technology, healthcare, and logistics.
• Government and Public Policy: Contributing to policy-making and public administration through analytical and data-driven decision-making skills.

Research Areas

PhD candidates will have the opportunity to work on innovative projects in the following areas:

• Linear Algebra and Applications:
  • Preconditioning of Large Linear systems of discretized PDEs, with a focus on Saddle Point Problems and their applications.
  • Physics-based preconditioning of MHD and related problems.
  • Multi-Shifted and Multiple Right-Hand Sides Linear systems.
  • Model Order Reduction of Nonlinear Biological Systems.
  • Model Order Reduction of Parametric Partial Differential Equations.
• Control Theory:
  • Optimal Control for Eddy Current Problem.
  • Koopman Operator for Dynamical Systems: Learning, Analysis, and Control.
  • Wave Equations with Kinetic Boundary Conditions: Numerics and Control.
• Differential Game Theory and Applications.
• Applied Mathematics for Biological Systems:
  • Analysis of Coagulation-Fragmentation Models and Applications
  • Multi-Scale Immuno-Epidemiological Modeling of Intra- and Inter-Host Infection Dynamics
  • Non-Autonomous Differential Systems and Variable Aggregation; Applications in Population Dynamics
• Computational Material Science and Energy:
  • Quantum optimal control of Rydberg atoms and ions
  • Materials properties Predictions using machine learning and Density Functional Theory
  • Hydrogen transport and storage simulations.
• Operational Technology Cybersecurity:
  • Blockchain for Enhancing Security in OT Networks
  • Cyber-Physical System Security
  • Resilience and Recovery in OT Systems
• Drone Swarm:
  • Jamming-Resistant Communication Protocols for Drone Swarms
  • Detection and Mitigation of Jamming Attacks on Drone Swarms
  • RF Fingerprinting for Drone Identification and Authentication
  • Machine Learning Approaches for Jamming Identification and Evasion
  • Game-Theoretic Approaches to Jamming and Anti-Jamming

Eligibility

Applicants should have a strong academic background in related fields such as mathematics, engineering, computer science, or physics. Previous research experience and a passion for interdisciplinary collaboration are highly desirable.

Benefits

• Access to state-of-the-art research facilities and resources.
• Collaboration with leading experts and industry partners.
• Competitive scholarships and funding opportunities.
• A stimulating and supportive academic environment within a dynamic and growing research community.

How to Apply

Interested candidates should submit the following documents:

• A detailed CV highlighting academic achievements and research experience.
• A statement of purpose outlining research interests and career goals.
• Academic transcripts and degree certificates.
• Contact information for at least two academic or professional references.

Number of opened positions: up to 16

Applications should be submitted via the UM6P platform, via this link.