Title

Classifications on VnS1 and Tn via Symmetry Groups

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Subject Area

Mathematics

Description

Adam Banatwala ’22, Mathematics and Finance
Jensen Barry ’22, Mathematics
Mackenzie Maude ’22, Mathematics and Art History
Shannon Rooney ’21, Mathematics and Studio Art
Faculty Mentor: Dr. Joanna Su, Mathematics

During 2020, our research group applied group theory to topological spaces, focusing on 1- and 2-dimensional orientable surfaces without boundaries. As part of the research, students apply knowledge from calculus, geometry, linear algebra, abstract algebra, general topology, and algebraic topology. The students established a relationship between the order of these symmetry groups on VnS1 and Tn. Mathematicians can use these results to classify different classes of surfaces, which is a significant area of interest in topology. Their result is now a 151-page paper entitled “Classifications on VnS1 and Tn via Symmetry Groups” that is ready for submission for publication.

Publisher

Providence College

Date

4-29-2021

Start Date

4-29-2021 12:00 AM

Type

Presentation

.mp4

Language

English

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