Browse real student projects, abstracts, and awards.
ISEF · 2024
Mathematics
We introduce the slice rank polynomial method with its origins from the Cap Set problem and focus on two applications. We look into colorings of R^n with no more than 2^O(n) monochromatic eq…
ISEF · 2024
Mathematics
Math helps us in solving physical, biological, chemical and everyday problems which require the use of high degree polynomial equations. Unfortunately, solving these types of equations is no…
ISEF · 2024
Mathematics First Award
A mathematical billiard system is one composed of a planar or multidimensional surface and a moving object whose trajectory is defined by its initial position and speed vector, along with so…
ISEF · 2024
Mathematics
Knot theory, counting a knot invariant for a knot L has been long studied. Using an algebraic structure called quandle, we calculate the knot invariant, in other words coloring of the knot.…
ISEF · 2024
Mathematics Fourth Award
Hensel’s Lemma is the foundation of p-adic number theory and, as discovered in this study, a possible way to revolutionize the math behind elliptic curve cryptography. It works by lifting a…
ISEF · 2024
Mathematics Fourth Award
An important step towards the classification of finite-dimensional pointed Hopf algebras, which are algebraic structures with a wide range of fundamental applications to mathematics and phys…
ISEF · 2024
Mathematics Third Award
This project aims to help restore ancient Greek musical tradition and, thus, give us a better understanding of Greek culture by digitally reconstructing the chelys, a tortoise-shell lyre ove…