A website for my math(s).

Hello! I'm Daniel Tan (usually shortened to Dan Tan by those who admire symmetry).  I'm a postdoc mathematician at the Yau Mathematical Sciences Center, Tsinghua University.  My mentor is Robert McRae.

I'm interested in vertex operator algebras, their representations, and structures you can build out of their representation theory (for example tensor categories and conformal field theories).  

In May of 2026, I completed my PhD at Rutgers University with advisors Yi-Zhi Huang and James Lepowsky. I studied problems on the convergence of correlation functions in orbifold conformal field theory.  Here is my thesis.

This work forms part of Yi-Zhi Huang's program to develop mathematical orbifold conformal field theory with the representation theory of vertex operator algebras. Also working on the program, is my academic brother Jishen Du.

Currently, I'm still looking at twisted modules of vertex operator algebras and twisted intertwining operators among them. I'm working on proving convergence results in new cases and applying these results to build tensor-categorical structures.

(Fall 2026)

You can contact me at ...

(Email changing soon -  old email  dwt24@scarletmail.rutgers.edu)

Office 626 Hill Center, Busch Campus, Rutgers University - New Brunswick (old office, you won't find me here!)