Browse real student projects, abstracts, and awards.
ISEF · 2026
Mathematics
Urban accessibility optimization is a pressing challenge for sustainable urban development. Classical graph-theoretical methods, such as the Steiner tree problem, provide a framework for con…
ISEF · 2026
Mathematics
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
Modern financial markets are complex, interconnected systems where localized stress can amplify into system-wide instability. Traditional risk measures, such as volatility indices, quantify…
ISEF · 2026
Mathematics
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
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
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…
ISEF · 2026
Mathematics
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
Airlines have increasingly adopted flexible refund policies that allow passengers to cancel tickets in exchange for time-limited travel credits. While these policies reduce customer risk, th…
ISEF · 2026
Mathematics
Understanding interactions between the spread of multiple pathogens during an epidemic is crucial to assessing the severity of infections in living communities. I created two novel Multiplex…