Mathematical Writings

Papers

• Constructing vector-valued automorphic forms on unitary groups (with Pavel Čoupek, Ellen Eischen, Claire Frechette, Serin Hong, Si Ying Lee, David Marcil).
  Arxiv
• Limit Points of Commuting Probabilities of Finite Groups.
  Arxiv Journal Article
• Formalizing Galois Theory (with Patrick Lutz).
  Arxiv Journal Article
• Counting Parabolic Double Cosets in Symmetric Groups.
  Arxiv Journal Article
• Classical Limits of Unbounded Quantities by Strict Quantization (with Benjamin Feintzeig, Robin Gates-Redburg, Jonah Librande, Rory Soiffer).
  Arxiv Journal Article
• Classical limits of gauge-invariant states and the choice of algebra for strict quantization (with Benjamin Feintzeig).
  Journal Article
• Doppelgangers: the Ur-Operation and Posets of Bounded Height (with Max Hopkins and Zander Kelley).
  Arxiv FPSAC Extended Abstract

Notes

• Dedekind Schemes.
• Commuting Probability.
• The Cyclotomic Z_p extension of Q.
• Dirichlet Series.
• Tetration.
• Overview of Algebraic Number Theory.
• Number theory from the perspective of the Fibonacci sequence.
• Galois group of x^n-2.
• A discussion of Burnside's normal p-complement theorem and related topics.
• A generalization of Problem 4.2.7 in Folland's Advanced Calculus.
• Pisot-Vijayaraghavan numbers.