It may seem quite obvious that graphs carry a lot of geometric
structure. Don't we learn in algorithm classes how to solve
all-pairs-shortest-paths, minimum spanning trees etc.?
However, in this talk, I will try to impress on you the idea
Sixth and higher moments of L-functions are important and
challenging problems in analytic number theory. In this talk, I
will discuss my recent joint works with Xiannan Li, Kaisa
Matom\"aki and Maksym Radziw\il\l on an asymptotic formula of