Algebra

Lecturer:   Juniorprof. Dr. Simon Brandhorst

Office hours: Fridays 11:30 - 12:30 in E2.4 Room 222 and in MS-Teams.  Please send an e-mail to make an appointment.

Assistant:  Stevell Muller

Office hours: Mondays 11:00 - 12:00 in E2.4 Room 221

Tutor:         Bastian Heinen

Dates:

Lecture:

  • Wednesdays 10:15-11:45 building E2.4, Lecture hall IV;
  • Thursdays 10:15-11:45 building E2.4, Seminar room 6.

Problem session:

  • Tuesdays 10:00-12:00 building E2.4, Seminar room 6.

Topics: groups, rings and fields, categories. In particular:

  1. elementary Category theory
  2. group operations, Sylow-Theorems, solvable groups,
  3. rings and ideals, factorial rings, polynomial rings and the lemma of Gauß,
  4. algebraic and transcendental field extensions, degree of a field extension, Galois theory and solvability by radicals.

Prerequisites: Linear Algebra I+II

Literature:

Our Library has compiled an online collection of books for your convenience.

Exam criteria:

Problem sheets are posed every week. You should team up with another student, solve the exercises and hand in your solutions the following week. We will correct and grade them.

Each student should present the solution to one of the homework exercises in front of their classmates during the problem session. This will not be graded but it is required to register for the final exam.

To pass you need to meet the following criteria: obtain at least 50% of the total points in the problem sheets, present the solution to one homework exercise and pass the finial exam.