Honors College Senior Thesis Presentations

Title

Quantum Dimension Polynomials: A Networked-Numbers Game Approach

Presenter Information

Nicholas GaubatzFollow

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.

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Honors College Senior Thesis Presentations

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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.