Welcome to Shane Chern's webpage!

I am currently a Postdoctoral Researcher at the University of Vienna, working with Christian Krattenthaler, under the SFB Project: Discrete Random Structures: Tiling Enumeration (TP3) supported by the Austrian Science Fund (grant no. 10.55776/F1002).

I am a member of the Combinatorics Group at the Faculty of Mathematics.

My research focuses on combinatorics, number theory, special functions, and their applications to other branches of mathematics and physics. I also have a lasting interest in the work of Srinivasa Ramanujan.

I was a (Killam) Postdoctoral Fellow at Dalhousie University from 2021 to 2024, working with Karl Dilcher. The first two years of this period were supported by a fellowship from the Killam Trusts.

I obtained my Ph.D. in Mathematics from Penn State in 2021 under the supervision of George 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. It received the Raymond and Christine Ayoub Award from the Department of Mathematics at Penn State.