Expository Papers and Notes

I enjoy writing mathematics for readers outside my immediate research area, from undergraduates to the mathematically curious public. Here are some of the products of this enjoyment.

• Who is Number One: A College Football Question

• A Fair Coin's Unfair Habit

• "Duz Tahtanin Otesinde" (Beyond the Flat Board), forthcoming in Matematik Dunyasi (in Turkish). An expository article on playing tic-tac-toe on topological surfaces such as the torus, Mobius strip, and projective plane, leading to the classification of compact surfaces.

• English translation of the 1992 paper "Sur une Question de B. Mazur" by A. Kraus and J. Oesterlé

• Intuitive Construction of the p-adic Integers for Freshman Students

• A Friendly Walk toward Dirichlet's Theorem on Primes in Arithmetic Progressions

• An Invitation to the Representation Theory of the Symmetric Group via Young Tableaux

• Gödel Incompleteness, Paris-Harrington, and Bolzano-Weierstrass

Slides from my selected talks:

• Beyond the Grid: A Tic-Tac-Toe Playground for Creative and Flexible Thinking

• Beyond Theorem-Proof-Example: Differentiating College Math to Spark Creativity and Motivation

• A Deformation-Theoretic Approach to the Frey-Mazur Conjecture

• Non-Existence of an 11-torsion Rational Point of an Elliptic Curve