In our panel, we explore two distinct yet fascinating applications of data science and analytics in mathematics and statistics. First, we discuss the development of parameters for chaos theory, with applications spanning biology, power systems, digital healthcare, and physics. Second, we analyze quantified musical sheets, drawing comparisons between Renaissance music in terms of harmony, melody, and notes. Through these two topics, we demonstrate the broad reach of topological data analysis (TDA) and the mechanics of Renaissance music, from scientific inquiry to the exploration of musical structures.

Moderator: Caedyn Busche, Associate Director, Career Exploration

A New Exponent for Chaos: Exploring Dynamical Systems
Zainab Mustafa ’26, Economics and Math double major

Chaos in Mathematical Billiards
Umnia Hameed ’26, Computer Science and Mathematics double major

Mapping Renaissance Musical Networks: Statistical Analysis of Mass-Model Similarities
Sanskiriti Giri ’26, Economics and Data Science double major

Exploring Collision Dynamics in Mushroom Billiards Using Topological Data Analysis
Ama Abrokwa '26, Computer Science