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Winning projects

What strong projects actually look like — the question they asked, the design that survived review, and the one decision that made the difference.

Archive entries are summaries compiled for study. Read them for how a project was structured, argued, and defended — not as a template to reproduce. Copying someone else's project is the one thing that will end yours.

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The unrestricted finite factorization property

Jonathan Du

Finalist · Regeneron STS 2026

Work in factorization theory on algebraic systems whose elements may factor in many ways or in none, extending the theory of when factorizations are finite.

  • abstract-algebra
  • factorization
  • ring-theory
  • +1
MathematicsPure Mathematics