The main goal of the project is the construction of new hyperbolic disc bundles over surfaces. We initially plan to present a new and more systematic construction of the known examples; eventually, we expect to improve the results of Feng Luo on the best known bound for the Gromov-Lawson-Thurston conjecture. The project is planned for 2-3 years, but we expect some developments to take place already in the first year. In spite of being young, the student has a considerable mathematical background; for instance, during the entire second semester, he attended to advanced undergraduate and graduate level seminars.
News published in Agência FAPESP Newsletter about the scholarship: