Papers, proofs, coursework, and projects in mathematics and data science.
How much more often are Black, Hispanic and Asian mortgage applicants denied than White applicants in the 2025 HMDA data, and how much of each gap survives controls for income, debt-to-income, loan-to-value, loan type, state and lender?
Two proofs of e^(iπ) + 1 = 0: from the power series for exp, sin and cos, and from the circle group.
Three proofs that phi is irrational: descent from phi = 1 + 1/phi, the rational root test, and its endless continued fraction.
Galois tables of GF(p²): three theorems on the symmetry between twin tables, and two measures, Arnold's and our own, of how randomly the logarithms are spread.