Browse 769 real Mathematics projects from past science fairs, with abstracts, awards and links to the original entries.
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…
CSEF · 2026
Mathematical Sciences (Junior Division)
A Computer Vision Based Human Computer Interaction System Using Nose Movement for Assistive Control Abstract: Many people with physical disabilities have difficulty using computers and games…
ISEF · 2026
Mathematics
Currently, seqNMF is the leading algorithm for extracting repeated temporal motifs from neuronal recordings. However, it is computationally expensive, requiring manual regularization tuning…
ISEF · 2026
Mathematics
This project proposes a fully model-free, parameter-free framework for time-series forecasting based on discretization and relative transition frequency matrices (RTFMs). Existing time-serie…
ISEF · 2026
Mathematics
This research aims to characterize divisor topologies within the framework of tau-factorization where tau is a symmetric relation on the set of non-zero, non-unit elements of an integral dom…
ISEF · 2026
Mathematics
Strategic system stability depends on sustained cooperation, yet these frameworks frequently undergo phase transitions into competitive or destructive states. This research utilizes an entro…
CSEF · 2026
Mathematical Sciences (Senior Division)
Approximating values of the sine function has challenged mathematicians for centuries, leading to a wide variety of formulas and techniques. Efficient approximations for trigonometric functi…
ISEF · 2026
Mathematics
Given P, a set of clients (points) in the plane, the task is to open a facility and connect each client to this facility while minimizing the connecting cost. If one assumes that this cost i…
ISEF · 2026
Mathematics
Fractals are geometric objects that are characterized by self-similarity and non-integer dimension. They appear in ideal mathematical constructions and in natural systems. This project exami…
ISEF · 2026
Mathematics
Globally, water scarcity affects 75% of the population. Agriculture accounts for 70% of global freshwater withdrawals, and farmers use unreliable, reactive irrigation systems. This project i…
CSEF · 2026
Mathematical Sciences (Senior Division) Second Award
Our modern digital security rests on the difficulty and structure of prime factorization—a principle that has powered number theory for centuries. To understand the strengths and weaknesses…
ISEF · 2026
Mathematics
This research establishes a transformative paradigm in analytic number theory by replacing stochastic prime gap analysis with a deterministic framework to enhance cryptographic efficiency. W…
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
The purpose of this study is to investigate the maximum growth M(n) of Collatz orbits and to propose that its variability is structured rather than random. A total of 832,000 values were ana…
CSEF · 2026
Mathematical Sciences (Senior Division)
We present a systematic empirical analysis of the Deep BSDE method applied to multi-asset European basket option pricing under the Heston stochastic volatility model. Through 120 experiments…
CSEF · 2026
Mathematical Sciences (Senior Division) Third Award
When the number of qubits in a quantum system becomes extremely large, the system exhibits continuous, rather than discretized, behavior. These macroscopic systems are of interest at the int…
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…
CSEF · 2026
Mathematical Sciences (Junior Division)
This work explores the development of an algorithm for visualizing the behavior of the slime mold *Physarum polycephalum* within the Blender software environment. This organism is of particu…
ISEF · 2026
Mathematics
The classical Josephus problem involves eliminating individuals in a circle based on a fixed skip number. This research uses a similar rule, allowing skip numbers to vary according to a perm…
ISEF · 2026
Mathematics
Classical graph coprime labelings given by Gallian (2009) are static and unchanging, thus inadaptable to real-world systems. We introduce dynamic coprime labeling (DCL), a novel extension of…
ISEF · 2026
Mathematics
Early-stage identification of Alzheimer's disease is regarded as a critical factor for effective disease and intervention management. Structural changes of the brain are difficult to quantif…
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
Stochastic matrices model finite Markov chains and arise in applications such as search engine algorithms and population dynamics. Their eigenvalues determine long-term behavior, making it a…
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
Benzenoids are organic compounds composed of hexagonal six-carbon benzene rings with no adjacent double bonds. A Kekulé structure models a benzenoid as a collection of selected edges (repres…
ISEF · 2026
Mathematics
An infinite iterated function system (IFS) associated with local inverse branches of the Riemann xi-function near its simple zeros is constructed. Throughout, all zeros of the xi-function ar…
ISEF · 2026
Mathematics
Vigneras (1979) proved the existence and recursive properties of the Multi Gamma Hierarchy, as well as a general version of the Bohr-Mollerup theorem for discrete cases. In this project, we…
ISEF · 2026
Mathematics
Gerrymandering is the process when congressional district maps are redrawn to benefit a certain political party. This process undermines democracy while giving disproportionate advantage to…
ISEF · 2026
Mathematics
The Monty Hall problem refers to a question that was asked in the television game, “Let’s Make a Deal”, whose host is Monty Hall. In this question a contestant chooses between three doors, o…
CSEF · 2026
Mathematical Sciences (Junior Division) Third Award
In protein-coding DNA, 61 sense codons encode 20 standard amino acids, allowing multiple synonymous codons for the same protein sequence. Codon selection influences translation rate, ribosom…