Optimization methods for agriculture insurance

This project is an application of mathematical modelling and optimization to a livestock insurance problem. The goal is to analyze various scenarios from a farmer’s perspective and to minimize the loss. The main idea is to design and implement in Python a numerical simulation, including various scenarios in terms of the farm size and insurance premiums.  

Integrals for Hopf algebras

In the pure algebraix setting, it is known that there exists a non-unital Hopf algebra which does not admit an integral. The project we are proposing is to extend this example to the case of Hopf C*-algebra. The main difficulty is to deal with the setting of norm topology.

Learning Partial Differential Equations with fMRI Data

In this project, we apply an appropriate data-driven method to derive the potential partial differential equation model hidden in an fMRI dataset collected by Visconti di Oleggio Castello, Matteo et al. (2020). This dataset records the responses of 25 subjects who watched part of the feature film "The Grand Budapest Hotel" by Wes Anderson.

Numerical analysis with Python (part 3 of 3)

The student will write and test Python code for the labs for Numerical Analysis