My research

My research is in the area of algebraic number theory, and is mainly concerned with Galois representations. For a more detailed description of my research, you can read my research statement.

Sage code

I wrote some Sage code to handle Serre weights and mod p representations as they show up in my research. Here are the files:

• serre_weight.py - provides a SerreWeight class.
• inertial_mod_p_rep.py - provides an InertialModPRep class.
• type_22+.sage - an example sage file using the SerreWeight and InertialModPRep classes to determine whether a given Serre weight is an explicit weight of a given mod p representation.

3D Picture

In order to help myself understand some of the objects I work with, I created the following 3D anaglyph picture, which can be viewed with red-cyan 3D glasses. A short summary of how this picture shows up in my research is available here.