10 of the 39 Mathematics projects at ISEF 2026 won a Grand Award. Here's every one, with its abstract.
ISEF · 2026
Mathematics First Award
An equation f(x)=a, where f is a complex meromorphic function and a is a parameter, is solvable in elementary functions if the inverse map x=f^{-1}(a) can be expressed as a finite compositio…
ISEF · 2026
Mathematics Second Award
I investigated whether quandle colorings (homomorphisms) can detect causality for links realized as skies in a (2+1)-dimensional globally hyperbolic spacetime X. I built on the Allen–Swenber…
ISEF · 2026
Mathematics Second Award
Cryptographic systems securing global communications depend on computationally hard mathematical problems. Yet, the divisibility structure of combinatorial objects like Pascal’s Triangle rem…
ISEF · 2026
Mathematics Third Award
What does a resistor network, the popular British game show Countdown, and a function from number theory have in common? These seemingly unrelated concepts share a fundamental, mathematical…
ISEF · 2026
Mathematics Third Award
Disease outbreaks are dynamical systems that can abruptly cross critical transitions and escalate into epidemics. While early warning of epidemics is essential for life-saving interventions,…
ISEF · 2026
Mathematics Third Award
This project focuses on the Repelling Propellers Problem, an unsolved problem proposed by Professor James Propp. The question investigates how same-sign, equally charged/spaced points behave…
ISEF · 2026
Mathematics Fourth Award
Gerrymandering poses a significant threat to American democracy. Current identification methods, e.g. Polsby-Popper and Reock scores are highly sensitive to physical geography and unreliable…
ISEF · 2026
Mathematics Fourth Award
Brain aneurysms are balloon-like bulges in brain arteries, where abnormal blood flow is believed to influence whether an aneurysm grows or ruptures. This project studies a mathematical model…
ISEF · 2026
Mathematics Fourth Award
The theory of isogonal cubics is a powerful tool in proving the relations of angles. A part of the theory is deduced from Newton's theorems on conics. It is known that Newton's theorems can…
ISEF · 2026
Mathematics Fourth Award
This paper investigates invariants for distinguishing virtual knots. The existing H_MJ polynomial suffers from a structural weakness: when its base polynomial evaluates to zero, essential cr…