Department of Mathematics

Categories, Symmetries and Manifolds

Math 4800

This course meets MW 3:00-4:20.

We "meet" on Zoom. Contact me for access.

Syllabus for the course

Ideas for Possible Projects

Introduction and Preview of Coming Attractions

Sets. A Tale of Two Categories

Abelian Groups. Symmetries of Cyclic Groups

Metric Spaces. Orthogonal Transformations

Vector Spaces. Eigenvectors and eigenvalues

Groups. Conjugacy Classes. Unitary Groups.

Group Representations

G-Linear Maps and Characters

Topological Spaces

August 24 Class Notes

August 26 Class Notes

August 31 Class Notes

September 2 Class Notes

September 9 Class Notes

September 14 Class Notes

September 16 Class Notes

September 21 Class Notes

September 23 Class Notes

September 28 Class Notes

September 30 Class Notes

October 5 Class Notes

October 7 Class Notes

October 12 Class Notes

October 14 Class Notes

October 26 Class Notes

October 28 Class Notes

November 9 Class Notes

November 11 Class Notes

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