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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.

2 projects in Mathematics

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Solvability of Equations in Elementary Functions

Nikola Veselinov

First place · Regeneron ISEF 2026

A new theorem giving conditions under which an equation cannot be solved in elementary functions, developed by combining ideas from topology, symmetry and Galois theory.

  • pure-mathematics
  • galois-theory
  • topology
  • +1
advanced

Memory and Selfishness in the Prisoners Dilemma

Cory Seelenfreund

Third place · Regeneron ISEF 2025

Simulation and mathematical modelling of how memory length and degree of self-interest change outcomes in the iterated prisoner's dilemma, framed around implications for AI agent design.

  • game-theory
  • prisoners-dilemma
  • agent-based-modelling
  • +1