Kimball Strong  NotesHome  Research  Notes  Miscellaneous 
A calculation of the cohomology rings of real and complex projective spaces, starting by proving the LerayHirsch Theorem for fibre bundles, and then specializing to the Thom class of a vector bundle: Cohomology of projective spaces.

Slides from a presentation I gave at the end of a course on topological theory. It followed a presentation on the SerreSwan Theorem, and was meant to motivate algebraic Ktheory of a ring: Algebraic Vector Bundles and KTheory

A topological proof that every nontrivial monotone graph property on a prime power number of vertices is evasive. Written as a final project with Chase Vogeli for an Analysis of Algorithms class: Evasiveness

Notes on spectral sequences made in preparation for my AExam, which was pronounced "least computational spectral sequences talk I've ever seen" by my advisor. The first introduces the concept of a spectral sequence with some unorthodox basic examples, and the other two are about particular spectral sequences. Knowledge of the Serre Spectral sequence is required to fully understand the latter two. 