Some of My Favorite Theorems/Topics
- Fundamental Theorem of Galois Theory
- Kummer Theory
- Guillot, A Gentle Course in Local Class Field Theory.
- Class Field Theory
- Neukirch, Algebraic Number Theory.
- Neukirch et al., Cohomology of Number Fields.
- Hochschild, Local Class Field Theory (1950).
- Galois Deformations
- Mazur, Deforming Galois Representations (1989).
- Pseudorepresentations
- Taylor, Galois representations associated to Siegel modular forms of low weight (1991).
- Every profinite group is a Galois group.
- Waterhouse, Profinite Groups are Galois Groups (1974).
- Every group of order n is cyclic if and only if n is coprime with the Euler totient function of n.
- Jungnickel, On the Uniqueness of the Cyclic Group of Order n (1992).
- The projective limit of non-empty finite sets is non-empty.
Conferences Where We Might Have Met
- RTG 2025 Workshop and Retreat "Arithmetic Statistics" - The Ohio State University
- KOALA 2025 - The Ohio State University
- MAGNTS 2025 - The Ohio State University
- KOALA 2024 - University of Kentucky
- RTG 2024 Workshop and Retreat "Local Systems in Algebraic Geometry" - The Ohio State University
- KOI Combinatorics Lectures Fall 2023 - The Ohio State University
- MAGNTS 2023 - University of Michigan
- KOALA 2023 - The Ohio State University
- MAGNTS 2022 - University of Illinois Chicago