Computations and Code

I am involved in creating the Explicit Hypergeometric Modularity Method (EHMM) calculator, together with Michael Allen, Brian Grove, Ling Long, and Fang-Ting Tu. The calculator computes the basic hypergeometric information important in the EHMM papers, including the values of finite field hypergeometric series that are not defined over Q, zigzag diagrams, and other useful data. The calculator can also be used to construct the modular forms described in the sequence of papers written by the authors mentioned above and myself. The Sage files necessary to run the program are here and I also wrote the documentation  file, which is is here. Please email me if you notice any bugs or if you have any other questions. 

Zigzag diagrams (above) and p-adic orders of coefficients of a hypergeometric series (below) found using the EHMM calculator

In my joint work with Mathilde Gerbelli-Gauthier, Wanlin Li, Ajmain Yamin, Zecheng Li, and Alan Zhao, we are currently writing a program to compute cohomology vectors for locally symmetric spaces. Much of code has been written, and I hope to be able to provide a link to our program here soon.