Shane Chern

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

• Enumerative Combinatorics: Partitions, Permutations, Sequences
• Number Theory: Circle and Sieve methods, Diophantine equations
• Special Functions: q-Series and Basic hypergeometric functions
• Mathematics of Ramanujan: Theta and Mock Theta functions