MAT 544 — Fall 2016 Problem Sets MAT 544 — Fall 2016 Syllabus

MAT 544 Course Webpage
Algebra III: Commutative Algebra, Homological Algebra, Representation Theory.
Tu Th 2:30PM — 3:50PM, Library W4535

Fall 2016

  • Problem sets
  • Syllabus

  • Course Announcements
  • Course Description
  • Prerequisites
  • Text
  • Course Learning Objectives
  • Course Outcomes / Key Skills
  • Lectures
  • Office Hours
  • Grading System
  • Hand-backs
  • Oral presentation
  • Disability Support Services
  • Academic Integrity
  • Critical Incident Management

  • Course Announcements Announcements about the course will be posted here. Please check the site regularly for announcements (which will also be given in lecture).

    Course Description The course will have three (very related) components. First we will give an overview of commutative algebra through the basics of dimension theory. Next we will review homological algebra from Algebra II, and we will survey advanced topics through spectral sequences. Finally, we will outline the structure theory of finite dimensional complex representations of finite groups and of semisimple Lie algebras. The emphasis will be on statements of results and use of the results in applications.

    Prerequisites Students should have passed the graduate algebra sequence. Any student who has not passed the graduate algebra sequence should speak with me at the beginning of the semester.

    Text There is no required textbook. Lectures will draw on the following references.

    Course Learning Objectives

    The course learning objectives include the following. Each of these is an important learning objective for all advanced mathematics and applied mathematics courses. Each is amplified with specific examples.

    Course Outcomes / Key Skills

    The course outcomes / key skills include the following.

    Lectures The instructor for this course is Jason Starr. All instruction will occur in lectures. A tentative schedule will be posted in the syllabus.

    Lecture is held Tuesdays and Thursdays, 2:30 PM — 3:50PM in Library W4535.

    Office Hours Office hours for Jason Starr are scheduled as follows.

    Grading System The letter grade for the course is based on class participation, weekly problem sets, and a final oral report by each student.

    Oral presentation
    Every student will give an oral presentation of approximately 20 minutes during office hours in the last few weeks of the semester. The topic of the presentation is to be determined by the student and instructor jointly. It may be on anything related to the course but not directly covered during lecture or on problem sets, e.g., a skipped section of the textbook, an interesting sequence of (unassigned) textbook problems, related material from another algebra textbook, etc. The topic should be discussed with the instructor and approved no later than November 15th.

    Hand-backs Graded problem sets and exams will be handed back in lecture. If you cannot attend the lecture in which a problem set or exam is handed back, it is your responsibility to contact the instructor and arrange a time to pick up the work (typically in office hours).

    Students are responsible for collecting any graded work by the end of the semester.

    Required Syllabi Statements
    The University Senate Undergraduate and Graduate Councils have authorized that the following required statements appear in all teaching syllabi (graduate and undergraduate courses) on the Stony Brook Campus.

    Americans with Disabilities Act.
    If you have a physical, psychological, medical or learning disability that may impact your course work, please contact Disability Support Services, ECC (Educational Communications Center) Building, Room 128, (631) 632-6748. They will determine with you what accommodations, if any, are necessary and appropriate. All information and documentation is confidential.

    Students who require assistance during emergency evacuation are encouraged to discuss their needs with their professors and Disability Support Services. For procedures and information go to the following website:

    Academic Integrity Each student must pursue his or her academic goals honestly and be personally accountable for all submitted work. Representing another person's work as your own is always wrong. Faculty is required to report any suspected instances of academic dishonesty to the Academic Judiciary. Faculty in the Health Sciences Center (School of Health Technology Management, Nursing, Social Welfare, Dental Medicine) and School of Medicine are required to follow their school-specific procedures. For more comprehensive information on academic integrity, including categories of academic dishonesty please refer to the academic judiciary website at

    Critical Incident Management Stony Brook University expects students to respect the rights, privileges, and property of other people. Faculty are required to report to the Office of University Community Standards any disruptive behavior that interrupts their ability to teach, compromises the safety of the learning environment, or inhibits students' ability to learn. Faculty in the HSC Schools and the School of Medicine are required to follow their school-specific procedures.

    Back to my home page.

    Jason Starr
    4-108 Math Tower
    Department of Mathematics
    Stony Brook University
    Stony Brook, NY 11794-3651
    Phone: 631-632-8270
    Fax: 631-632-7631
    Jason Starr