Presenter(s)

    Jacob D. Biesecker-Mast, Jasmine George, Michael Thomas Siegrist, MaryRose Schertler

    Comments

    Presentation: 10:45-12:00, Kennedy Union Ballroom

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    Download Project (233 KB)

    Description

    Polygons can transformed into surfaces via projective maps that work akin to gluing. If each vertex of a polygon is mapped to a single point, there is a classification theorem that assigns a fundamental group to the corresponding surface. This project will explore this classification theorem on generators of squares, and specifically how the fundamental group operates on the torus.

    Publication Date

    4-17-2024

    Project Designation

    Course Project - MTH 471 01

    Primary Advisor

    Jun Li

    Primary Advisor's Department

    Mathematics

    Keywords

    Stander Symposium, College of Arts and Sciences

    Classification of Surfaces with Fundamental Groups

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