Open Projects

I’m always keen to supervise Bachelor/Master theses and semester projects at the intersection of applied mathematics, topological data analysis (TDA), computational neuroscience, finance, and food analytics. The projects listed here are just illustrative; if these areas interest you, please contact me to discuss additional or tailored topics that fit your background — including opportunities in finance, clinical neuroscience, and food network.

Temporal higher-order analysis

Spectral methods for higher-order temporal data analysis

Develop novel computational approaches using spectral theory and Topological Data Analysis to detect and analyze higher-order co-fluctuations in temporal data from complex systems like financial markets, brain networks, and ecosystems.

Reducibility of multivariate signals

Quantifying reducibility in multivariate time series with a multiplex approach

Explore how high-dimensional signals can be reduced to simpler representations using a novel multiplex network approach. Develop metrics to quantify information redundancy and uniqueness in complex systems like the human brain.

Temporal dynamics of emotion using film fMRI

Uncovering the higher-order signature of emotion using film fMRI

Use Topological Data Analysis to study how the brain's functional organization evolves during emotional experiences. Analyze the EmoFilM dataset to link brain network dyanmics with continuous emotional states while watching films.

Tinnitus and fMRI neurofeedback

Brain network reconfiguration in tinnitus patients following fMRI neurofeedback

Analyze longitudinal fMRI data from a clinical trial to understand how fMRI neurofeedback therapy changes brain networks in tinnitus patients. Map network reconfiguration and identify markers for improved recovery.