Welcome to Shane Chern's webpage!
I am currently a Postdoctoral Researcher at the University of Vienna, working with Prof. Christian Krattenthaler, under the SFB Project: Discrete Random Structures: Tiling Enumeration (TP3) supported by the Austrian Science Fund.
I was a Killam Postdoctoral Fellow at Dalhousie University, working with Prof. Karl Dilcher, from 2021 to 2024.
I obtained my Ph.D. in Mathematics from Penn State in 2021 under the supervision of Prof. George E. Andrews.
The title of my thesis reads "The World of p and q: Congruences, Identities and Asymptotics". An electronic copy can be downloaded through this link.
My current research focuses on number theory, combinatorics and special functions. I also have a lasting interest in the work of Srinivasa Ramanujan. In particular, I am working on