I will discuss how to use tools from analytic number theory to connect the geometry and spectral theory of tori. Some number-theoretic problems arising from this work will also be presented. This is joint work with Yu Deng, Pierre Germain and Larry Guth.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/246