PhD Position in Mathematical and Computational Modelling of Tree–Soil Interactions at University of Luxembourg

PhD Position: Mathematical and Computational Modelling of Tree–Soil Interactions

Forest Ecosystem Modelling, Multiscale Computational Methods, Applied Mathematics
University of Luxembourg
Luxembourg City, Luxembourg
Application Deadline: Open – early application encouraged

Overview

The University of Luxembourg invites applications for a fully funded PhD position in mathematical and computational modelling within the FORFUS (Forest Function Under Stress) doctoral training unit.

This project addresses the mechanistic modelling of underground tree–soil interactions, focusing on carbon, water, and nutrient exchange via roots and mycorrhizal fungi networks. The research integrates applied mathematics, computational mechanics, and biological network modelling to understand forest resilience under environmental stressors such as droughts and heatwaves.

Research Focus

The doctoral researcher will:

• Develop Partial Differential Equation (PDE)-based models for coupled dynamics of roots, fungi, and soil resources

• Implement computational frameworks simulating adaptive root–fungal networks under varying environmental conditions

• Collaborate with experimental soil scientists, ecologists, and forest modellers to validate models

• Integrate multiscale and adaptive network modelling strategies from computational mechanics into environmental modelling

• Disseminate research through publications and conferences, contributing to next-generation mechanistic ecosystem models

Academic Field and Research Domain

Primary Field

• Applied Mathematics, Computational Science

Core Disciplines

• Partial Differential Equations and Numerical Methods

• Multiscale Modelling and Computational Mechanics

• Network Modelling of Biological Systems

• Environmental and Forest Systems Modelling

Applied Research Areas

• Forest resilience and underground carbon/nutrient dynamics

• Tree–soil–fungal interaction modelling

• Interdisciplinary approaches combining mathematics and environmental science

Candidate Profile

Applicants should have:

• Master’s degree in Applied Mathematics, Computational Science, Physics, Engineering, or related fields

• Strong foundation in differential equations and numerical methods

• Solid programming skills (Python, C++, Julia, or similar)

• Interest in interdisciplinary research bridging mathematics and environmental systems

• Ability to work independently and collaboratively in an international environment

• B2-level proficiency in the language of the thesis

Employment Conditions

• Full-time doctoral researcher, 36-month fixed-term contract

• Work Hours: 40 hours/week

• Gross annual salary: €41,976

• Location: Belval Campus, University of Luxembourg

• Opportunity to work in a multilingual and international research environment with access to modern infrastructure and close ties to society and industry

Research Environment

• Embedded in the FORFUS doctoral training unit, focusing on forest function under stress

• Close collaboration with the computational mechanics group of Prof. Stéphane Bordas (www.legato-team.eu)

• Exposure to multidisciplinary approaches: mathematics, computational mechanics, soil science, ecology, and forest modelling

• Participation in project meetings, secondments, and collaborations with academic and industrial partners

This PhD position is ideal for candidates seeking to combine applied mathematics and computational science with environmental and forest ecosystem research, gaining expertise in mechanistic modelling of complex biological and environmental networks.