Below are the posts on this blogged sorted into their natural types.
A computation a day
These posts are largely focused around just computing things, with little focus on background or intuition (outside of any very relevant to the problem).
A Computation a Day: Compactly Supported Cohomology
A Computation a Day: the Brauer Group of a Number Ring
A Computation a Day: a Pullback Pushforward
A Computation a Day: a (Harder) Pullback Pushforward
Weird examples
These are usually very short posts writing down some sort of example of ‘weird’ behavior. These usually have very little in the way of background and/or intuition.
Weird Example: Pullback of Noetherian is Not Noetherian
Weird Example: Pullback of Very Ample by Finite is not Very Ample
Weird example: finite maps don’t preserve projectivity
Short blurbs
These are just short posts about something random. Once again, no real intention of discussing background material and/or intuition.
Topological Genus Agrees with Arithmetic Genus
What Information is Contained in an ‘Infinitesimal Neighborhood’ of a Point?
Classifying One-dimensional Algebraic Groups
Classifying one dimensional groups (II)
Hodge Symmetry in Characteristic Zero
A Class Field Theoretic Phenomenon
Morphisms of a ‘Set Theoretic Nature’
Kummer Theory and the Weak Mordell-Weil Theorem
Maps from Simply Connected Projective Varieties to Curves
Objects with no rational models
Expositions
These are usually longer posts, usually with the intent of giving an introduction and/or overview of a particular topic. These usually focus on giving sufficiently much background and intuition as to elucidate whatever their subject matter may be.
Fundamental of (Abelian) Group Cohomology
Group Schemes and Affine Group Schemes
An Invitation to $p$-adic Hodge Theory, or: How I Learned to Stop Worrying and Love Period Rings
Some Examples of Geometric Galois Representations
The Tate Conjecture Over Finite Fields
Algebraic de Rham Cohomology and the Degeneration of the Hodge Spectral Sequence
Another basic viewpoint on etale cohomology
Local Class Field Theory: a Discussion
Galois Groups of Local and Global Fields
A smattering of representation theory
A ‘brief’ discussion about torsors
The Fontaine-Winterberger theorem: going full tilt
Some motivation for p-adic Hodge theory
Some notes on automorphic representations
Reductive groups: a rapid introduction
Around abelian schemes over the integers
Shimura varieties
The Langlands conjecture and the cohomology of Shimura varieties
Hard Arithmetic 