{"id":1109,"date":"2020-11-30T20:46:14","date_gmt":"2020-12-01T01:46:14","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/sin\/?page_id=1109"},"modified":"2026-03-19T08:10:56","modified_gmt":"2026-03-19T12:10:56","slug":"mat4930-2221-25227-special-topics-in-math-abstract-algebra-2","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/sin\/mat4930-2221-25227-special-topics-in-math-abstract-algebra-2\/","title":{"rendered":"MAT4930\/2221\/25227 (Special Topics in Math)"},"content":{"rendered":"\r\n
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MAT4930\/2221\/25227 (Special Topics in Math)<\/h1>\n\n\n\n
\n<\/header>\n\n\n\n

Instructor<\/h3>\n\n\n\n

Prof.\u00a0 Peter\u00a0 Sin\u00a0<\/a><\/p>\n\n\n\n

Time and Location<\/h3>\n\n\n\n

MWF 5 (11.45am-12.35pm), Online\u00a0 (Lit 217) (A Zoom link will be provided here.)<\/p>\n\n\n\n

Office Hours:<\/h3>\n\n\n\n

TBA (A Zoom link will be provided here.)<\/p>\n\n\n\n

Description and Goals<\/h3>\n\n\n\n

A second course in Abstract Algebra, focusing on Galois Theory, the algebraic
\ntheory of fields and polynomial equations. Introduces concepts of abstract algebra
\nused in settling famous historical problems including the problems of angle trisection
\nand duplication of cubes by ruler and compass constructions, and the insolubility of
\npolynomial equations of the fifth degree. Topics include: field extensions;
\nthe Galois group; the Galois correspondence; radical extensions; algebraically closed fields, finite fields; and historical background.<\/p>\n\n\n\n\n\n

Prerequisites\u00a0<\/span>
\nMAS4105, MAS4301.<\/span><\/p>\n\n\n\n

Textboook<\/h3>\n\n\n\n

Galois Theory, Fourth Edition, by Ian Stewart, CRC press, 2015. You can also use earlier editions, but<\/span><\/p>\n\n\n\n\n\n

the fourth edition is especially\u00a0 recommended\u00a0 for its compelling historical content .<\/span><\/p>\n\n\n\n\n\n

Syllabus
\nMAT4930syllabus<\/a><\/p>\n\n\n\n

Class Format<\/h3>\n\n\n\n

The class will be conducted synchronously by means of Zoom meetings at the scheduled times. All class announcements and assignments will use the appropriate Canvas mechanisms. Please make sure you have an up-to-date version of Zoom. You will not need a camera
\nto attend the classes.<\/p>\n\n\n\n\n\n

It is not planned for any classes to be recorded, but there may arise exceptional circumstances in which recording would make sense. In that case, the following will apply.<\/p>\n\n\n\n\n\n

Our class sessions may be audio-visually recorded for students in the class to refer back and for enrolled students who are unable to attend live. Students who participate with their camera engaged or utilize a profile image are agreeing to have their video or image recorded. If you are unwilling to consent to have your profile or video image recorded, be sure to keep your camera off and do not use a profile image. Likewise, students who un-mute during class and participate orally are agreeing to have their voice recorded. If you are not willing to consent to have your voice recorded during class, you will need to keep your mute button activated and communicate exclusively using the \u201cchat\u201d feature, which allows students to type questions and comments live. The chat will not be recorded or shared. As in all courses, unauthorized recording and unauthorized sharing of recorded materials by students or any other party is prohibited.<\/em><\/p>\n\n\n\n

Course Schedule<\/h3>\n\n\n\n