Browse real student projects, abstracts, and awards.
ISEF · 2026
Mathematics
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
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…
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…
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
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…
ISEF · 2026
Mathematics
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
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
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
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…
ISEF · 2026
Mathematics
Arithmetic performance depends on the neural processing across distinct brain regions. This study investigates whether clustering coefficients (CCs), a graph theory metric for centrality, re…
ISEF · 2026
Mathematics
Two - qubit gates drive the power of quantum circuits, but finding new universal gates remains challenging. In this study, we developed an evolutionary computational framework to systematica…
ISEF · 2026
Mathematics
This project investigated a cryptographic framework for cybersecurity utilizing a pair of a field-defining monic irreducible polynomial f(x) and an associated multiplier polynomial k(x) as a…
ISEF · 2026
Mathematics
This project investigates how player market value in professional soccer is shaped by long-term ability and short-term seasonal performance. Transfer markets often show inconsistencies betwe…
ISEF · 2026
Mathematics
Traffic congestion is one of the most persistent urban challenges in the United States, costing Atlanta-area commuters over 65 hours and approximately $1,164 per driver in 2024. Traffic cong…
ISEF · 2026
Mathematics
Purpose: A set of two new operators contribute to the development of a new theorem on jumpability that, together with a six-fold characterization of dimensional-expansions, are used to estab…
ISEF · 2026
Mathematics
One of the central open problems in operator theory and PT-symmetric quantum mechanics is how to construct metric operators explicitly for non-Hermitian operators acting in spaces with an in…