Emma Jin

First, I will present a series of classical results on symmetric generating functions and permutation statistics, including the classical results by Carlitz, Roselle and Scoville (1966), by Garsia and Gessel (1978), by Gessel and Reutenauer (1993)...

I will give a brief overview of the various types of generating functions and its applications in determining likely/unlikely behaviors of random structures. Second, I will focus on my recent work on the asymptotics and statistics of random Fishburn...