notes

these notes taken during my time studying math have proven helpful to some.³

• analytic number theory
• elementary number theory
• point-set topology
• probability theory
• graph theory and combinatorics
• set theory and category theory
• commutative algebra
• algebraic geometry
• chip-firing

expository posts

these bite-sized papers are mostly either primers for outreach talks that i have given or short blog posts from a old iteration of my site.⁴

• how to make math make choices for you
• sum-free subsets of finite abelian groups
• functors, natural transformations, and adjoints
• the category-theoretic perspective
• why is algebra important in combinatorics?
• why is algebra important in number theory?
• why is algebra important in topology?