Teaching and Projects.

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• Modelling complex ecosystems with random Lotka-Volterra equations (MSc project, summer 2025)
   

• Martingale approach to the gambler's ruin problem (BSc project, 2024-2025)
   

• Modelling complex ecosystems with random Lotka-Volterra equations (BSc project, 2024-2025)
   

• Exploration of the Delayed Transition from Homogeneous State in Binary Mixture (MSc project, summer 2024)
   

• Stability and Phase Behavior in Liquid Mixing Models: From Binary to Multi-Component Systems (MSc project, summer 2024)
   

• Analyzing Ecosystem Stability in Watts-Strogatz Small-World Networks:An Exploration of the Lotka-Volterra Model (MSc project, summer 2024)
   

• Modelling complex ecosystems with random Lotka-Volterra equations (MSc project, summer 2024)
   

• Exploring Ecosystem Stability in Complex Networks: The Application of the Lotka-Volterra Model in Erdos-Renyi Random Graphs (MSc project, summer 2024)
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• Percolation in spatial directed networks (MSc project, summer 2023) 
   

• ​Non-linear stability analysis for large dynamical systems on directed hypergraphs (MSc project, summer 2023)
   

• Modelling Complex Systems with Randomly coupled Lotka-Volterra equations (MSc project, summer 2023)
   

• Analysing Traffic Jams in a model for Vehicular Traffic on a Ring (BSc project, 2022-2023)
   

• Modelling Complex Ecosystems with Randomly Coupled Lotka-Volterra Equations (MSci project 2022-2023)
   

• Influence of Planarity on Percolation in Random Directed Graphs (MSc project, fall 2022)
   

• Understanding of Bulk Tails in the distribution of firm sizes in the Moran-Bouchaud model (MSc
  project, fall 2022)
   

• The Influence of Network Structure On the Stability of a Random Economy (MSc project, summer 2022)
   

• Modelling Food Webs (BSc project, 2021-2022) 
   

• Analysing Traffic Jams (BSc project, 2021-2022)

 

• Markov State Models: Dimensionality Reduction, Mean First passage Times and the Kemeny Constant (MSc project, fall 2021)

 

• Nagel-Schrekenberg Model on Networks with Junctions (MSc project, summer 2021)

 

• Two Lanes and Lane-Merging Simulations based on the Nagel-Schreckenberg Model (MSc project, summer 2021)

 

• On the Localisation of Right Eigenvectors of Random Directed Graphs with Correlated Outdegrees and Indegrees (MSc project, summer 2021)
   

• Visualisation of Large Food Webs (KURF fellowship, summer 2021)
   

• Jam Formation in Traffic Processes through Networks (MSc project, summer 2020)
   

• Analysis the Spectrum of a Real-World Network with Cavity Method (MSc project, summer 2020)
   

• Investigating Spectral Features of a Real World Social Network (MSc project, summer 2020)
   

• Kinetic Model of Interconnected Traffic Flow (MSc project, summer 2020)
   

• Naive Bayes Approach for the Analysis of Medical Data (MSc project, summer 2020)
   

• Inferring Network Structure in United Nations Development Data (KURF fellow, summer 2020)
   

• Pattern Recognition through Neural Networks on Sparse Directed Graphs (MSci project, 2018-2019)
   

• How motor proteins avoid traffic jams (KURF fellow, summer 2019)
   

• Stability of Complex Systems (MSc project, summer 2019)