Honors College Senior Thesis Presentations
Quantum Dimension Polynomials: A Networked-Numbers Game Approach
Academic Level at Time of Presentation
Senior
Major
Mathematics
Minor
Computer Science
List all Project Mentors & Advisor(s)
Dr. Rob Donnelly
Presentation Format
Oral Presentation
Abstract/Description
The Networked-Numbers Game–a mathematical "game" played on a simple graph–is incredibly approachable and yet surprisingly rich in content. On the other hand, Quantum Dimension Polynomials (QDPs)–enumerative expressions traditionally understood through root systems–are complicated to derive and often inaccessible to undergraduates. An overview of the Networked-Numbers Game, a theorem providing closed-form expressions of some QDPs, and an example of a QDP are provided.
Spring Scholars Week 2022 Event
Honors College Senior Thesis Presentations
Quantum Dimension Polynomials: A Networked-Numbers Game Approach
The Networked-Numbers Game–a mathematical "game" played on a simple graph–is incredibly approachable and yet surprisingly rich in content. On the other hand, Quantum Dimension Polynomials (QDPs)–enumerative expressions traditionally understood through root systems–are complicated to derive and often inaccessible to undergraduates. An overview of the Networked-Numbers Game, a theorem providing closed-form expressions of some QDPs, and an example of a QDP are provided.