As the world continues to make significant progress in the realm of discrete mathematics and computer science, it remains crucial to investigate their continuous analogies and build dictionaries between these corresponding families of intricate objects. Results of this type provide the freedom to easily transition between equivalent interpretations of mathematical objects for the purpose of viewing them from several angles and hope to extract more valuable information.

I work between these realms, building techniques and tools from several areas of modern mathematics that serve to assist in bridging the gaps.