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.

1 project in Mathematics

advanced

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

Mathematics