The goal of this learning seminar is to obtain a broad acquaintance of modern number theory through the study of Diophantine equations, the theory of heights, as well as the relevant algebro-geometric tools. Other topics are also welcome upon the request of participants.

reference: 

[1] E. Bombieri and W. Gubler, Heights in Diophantine Geometry, Cambridge University Press (2006).  

[2] M. Hindry and J. Silverman, Diophantine Geometry: An Introduction. Springer (2000).