The primary research interest of the author is Spectral Algebraic Geometry. This page also contains less recent, but more extensive, work on higher category theory, along with some early study-notes from various elementary textbooks. Please be advised that the majority of notes and documents presented here are unpolished, and in particular, not error-free.
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An exposé on stable
- Colimits and Kan extensions
- Euler chararacteristic
- Simplicial sets
- The fundamental groupoid
- Mapping spaces in higher category theory
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The Thomason model structure on
𝕒 𝕥 -
A comprehensive study of
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Joins in
𝕒 𝕥 𝕠 𝕡 -
Properties of
- Enrichment in category theory
- Monoidal categories
- An outline for studying higher category theory
- Notes from Goldblatt's Topoi book
- Morphisms of schemes
- Properties of schemes
- Schemes II
- Schemes I
- Sheaves
- Algebraic Geometry: Homework
- Notes from Hartshorne
- Abelian Categories
- Category Theory: Homework
- Adjunctions
- Universal Arrows, Yoneda Lemma, Limits
- Natural Transforms, Products, Free Categories
- Modules of fractions, Primary decomposition
- Commutative Algebra: Homework
- Rings: Homework
- Rings and Algebras
- Linear Algebra
- Ideals, Modules, Tensor products
- Cellular Homology
- General Topology
- Fundamental Group, Singular Homology, Excision