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…
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…
Mathematical Sciences (Senior Division)
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…
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…
Mathematical Sciences (Senior Division)
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…
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…
Mathematical Sciences (Junior Division)
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…
Mathematical Sciences (Junior Division)
We use AI in daily life, sometimes involuntarily (such as Google Search Overview). However, some AI models might be more reliable or structured than others. In this project, we tested six di…
Mathematical Sciences (Senior Division)
Alzheimer’s disease (AD) affects 55 million people worldwide and is a major contributor to the global burden on healthcare systems, families, and caregivers. It has been found that detectabl…
Mathematical Sciences (Junior Division)
Humans inherently communicate through body movement. Therefore bodily expressions serve as a powerful but often subconscious channel for emotion and social signaling. Despite progress in vis…
Mathematical Sciences (Junior Division)
Artificial intelligence (AI) has become quite common and can be found doing many different things. Around 73% of Americans show a willingness to incorporate AI into their daily lives (Pew Re…
Mathematical Sciences (Junior Division)
Purpose: The knowledge of the relationship between an integer n and its divisors aids number-theoretic research in integer partitions, prime number search, and subset sum problems. Prior wor…
Mathematical Sciences (Junior Division)
This project explores the simplified question: “How can we use computer model variables to predict the effectiveness of social distancing compliance using autonomous dotted agents to simulat…
Mathematical Sciences (Senior Division)
The research goal is to develop an original method to fill some long-term existing gaps in statistical inferences on the self-similar stochastic processes. Self-similar processes are stochas…
Mathematical Sciences (Senior Division)
The spin representation is a mathematical object parametrizing the spin states of multiple-electron systems, introduced by Cartan in 1913 and applied to physics by Dirac in 1928. It has a du…
Mathematical Sciences (Senior Division)
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…
Mathematical Sciences (Senior Division)
Airlines have increasingly introduced flexible refund policies that allow passengers to cancel tickets and receive time-limited travel credits. These policies introduce additional uncertaint…
Mathematical Sciences (Junior Division)
VisionSpeak: A Wearable Edge-AI System That Describes the World Through Synthesized Speech for the Visually Impaired Shreyan Biswas Our project aims to enhance independent mobility and safet…
Mathematical Sciences (Junior Division)
The objective of this experiment was to investigate how common materials, specifically, metal, wood, and cardboard, affect the strength and speed of Wifi. As wireless technology becomes more…
Mathematical Sciences
Second Award
Mathematical Sciences
Second Award
Mathematical Sciences
Honorable_mention Award
Mathematical Sciences
First Award
Mathematical Sciences
Fourth Award
Mathematical Sciences
Third Award
Mathematical Sciences
Honorable_mention Award
Mathematical Sciences
Third Award
Mathematical Sciences
Second Award
Mathematical Sciences
Fourth Award
Mathematical Sciences
Honorable_mention Award