The unrestricted finite factorization property
Jonathan Du · Mountain View, California
Ninth Place ($50,000) · Regeneron Science Talent Search · 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 with no application attached is a hard sell that succeeded anyway, which is a useful thing to know: a result that advances a field is allowed to be its own justification.
- Factorization theory
- Commutative ring analysis
- Construction of counterexamples
- Proof of finiteness conditions
- Pure mathematics does not need an application to be a strong project — it needs a result
- Be able to state your theorem in one sentence to someone outside your area
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