Browse real student projects, abstracts, and awards.
ISEF · 2024
Mathematics
Abortion is a surgical procedure that is performed on pregnant women in which a fetus inside the uterus is terminated. There are many factors to consider when studying the reason behind why…
ISEF · 2024
Mathematics Third Award
The cryptocurrency Ethereum utilizes zero-knowledge rollups (ZKR) to improve its scalability. ZKRs processes thousands of Ethereum transactions in a batch and uses zk-SNARKs (zero-knowledge…
ISEF · 2024
Mathematics
Federated learning is a new and exciting field of topic that has arisen in the world of machine learning. This field is new and exciting because it offers innovative solutions that address m…
ISEF · 2024
Mathematics
Partitions of integers n are different representations of n as a sum of positive integers. They have applications in a variety of maths and physics topics including distribution problems and…
ISEF · 2024
Mathematics
As factorization theory of rings is already well-studied, it is natural to generalize the scope of factorization theory from rings to monoids. Puiseux monoids (i.e. additive monoids over a s…
ISEF · 2024
Mathematics
Legendre's Formula and Fine's Theorem use number theory to analyze combinatorics functions. Legendre's formula finds the exponent of a prime (p) dividing the factorial of any integer (n); Fi…
ISEF · 2024
Mathematics
Quasi-stationary distributions underlie a great number of fundamental phenomena and are valuable tools in molecular biology and neuroscience, where they are used to model interactions betwee…
ISEF · 2024
Mathematics
This study introduces a new solution approach to the Gauss Circle Problem by utilizing Pick's Theorem. Our approach involves examining lattice points within and on the circumference of the c…
ISEF · 2024
Mathematics
This project looked at two prevalent neurodevelopment disorders that often exhibit overlapping symptoms, ADHD and Dyslexia. The purpose of this project was to find out if these two disorders…
ISEF · 2024
Mathematics
This project focuses on Packet Radio Networks (PRN), represented as a graph G = (V,E) with V and E as its vertex and edge sets respectively. The vertices represent the set of stations, and t…
ISEF · 2024
Mathematics
In my research project I want to generalise the well-known concept of Riemann integration of functions on sequences in order to obtain a new tool for the investigation of sequences. To do th…
ISEF · 2024
Mathematics Fourth Award
Seventh chords are widely used in music. What are the relationships between different seventh chords? Can these relationships be explained mathematically? This research classifies transforma…
ISEF · 2024
Mathematics
In light of the tremendous scientific development, Algebra between science and sustainability has become one of the most important requirements, and in this study, which aims to Estimate the…
ISEF · 2024
Mathematics
Is a Bessel representation of exponential sums corresponding to divisors obtainable, and if so, viable? In an original expression I derived relating the divisor functions at individual point…
ISEF · 2024
Mathematics Fourth Award
We explore knots. If we allow self-intersections, we get Singular knots. To distinguish different knots, invariant functions are used. A function from the set of knots to a ring is called a…
ISEF · 2024
Mathematics
When many participants are involved, rock-paper-scissors tournaments can take numerous matches to complete. Prior studies attempted to reduce the number of matches by appropriately distribut…
ISEF · 2024
Mathematics
The intersection of p-adic curve theory and ellipse geometry constitutes a field of geometric research. The relevance of elliptic curves is based on the proof of Fermat's last theorem. Geome…
ISEF · 2024
Mathematics Third Award
Multiple Sclerosis (MS), an autoimmune disease affecting millions worldwide, is characterized by its unpredictable course. Mathematics as a tool for predicting MS outcomes and identifying fa…
ISEF · 2024
Mathematics
In this project the intricacies of continued fractions are explored by extending them (through use of recursion) to infinity whilst applying them to the context of repeating arrangements of…
ISEF · 2024
Mathematics
The modern world is on the threshold of a technological revolution in warfare, which requires a rethinking of the simulation of combat operations, considering the increasingly important role…
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…
ISEF · 2023
Mathematics
Certain environmental, social, and genetic factors related to socioeconomic status can significantly impact a person's health. The purpose of this experiment is to analyze how air quality, e…
ISEF · 2023
Mathematics
Pythagoras’ theorem is a foundational theorem in geometry, with many far-reaching implications in other fields. There are many proofs of Pythagoras' theorem - from geometry, trigonometry or…
ISEF · 2023
Mathematics
Bipolar Disorder is a mental health condition characterized by its traits of mood swings/manic episodes. It consists of two varieties, Bipolar One and Bipolar Two, One displaying full Manic…