Teaching Tools:
Frequency Analysis Tool
A frequency analysis tool for substitution ciphers developed for use in the 2020 Summer Math Camp at Dartmouth
L-R Rule
An interactive example of Remmel and Whitney's combinatorial rule for expanding the product of Schur functions
Mystery Set Operation
A tool for students to experiment with a set operation by providing two sets to test.
Student Work:
Costello Divisibility: A Comedic Division Algorithm
In the Spring term of 2025 I mentored Sam Thiel in a project they proposed based on an Abbot and Costello bit.
Magical Mathematics
In the Winter term of 2023 I mentored Sofia Goncalves reading out of the book Magical Mathematics.
Winter Term 2024: Tabletop Games
In the Oberlin Winter term of 2024 I supervised a few students designing games.
Miscellany:
Fibonacci Split
A little game inspired by an identity among Fibonacci numbers.
Pie Art
Mathematical art in the form of pie including the arctic circle theorem, aperiodic monotiles, and pentagonal tilings.
Puzzles
Mathematically-inspired puzzles like group-theoretic Sudoku
@the_tile_files
An Instagram account run by Beth Anne Castellano and me inspired by our interest in tiling art