During this internship I was working on three different projects in which I was responsible for solving mathematical and statistical problems. Two of them were noncommercial research projects. Among the two, one was rooted in game theory and graph theory. The other one was an attempt to model consumers behavior under the so-called bounded rationality assumption. The third project was commercial and focused on security issues for online and publicly available databases. Providers of such databases are facing the risk of sensitive information leakages. Our aim was to find weak points in our clients database and advise on possible security improvements. I was communicating the results of those three projects to an audience with different background on multiple occasions.
While working on the first project I deepened my knowledge in game theory and graph theory. In the second project my colleagues and I designed a mathematical model for consumer behavior, taking into account the decision making processes. Our model was then implemented by the other part of the team which created an application for simulating consumers behavior on the market. This lead to a better understanding of decision making processes under bounded rationality assumption. The third project, resulted in a set of advices which helped the client to improve his database security and lower the risk of sensitive information leakage.