MAT 535 — Spring 2026 Problem Sets MAT 535 — Spring 2026 Schedule MAT 535 — Spring 2026 Exams

MAT 535 Course Webpage
Algebra II
Tu Th 9:30 AM — 10:50 AM, Physics P—130

Spring 2026
  • Problem sets
  • Exams
  • Syllabus
  • Course Announcements
  • Course Description
  • Prerequisites
  • Text
  • Lectures
  • Office Hours
  • Grading System
  • 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 and/or in recitation).

    Course Description The description in the graduate bulletin: Vector spaces: Cayley-Hamilton Theorem, Jordan normal form, bilinear forms, signature, tensor products, symmetric and exterior algebras. Homological algebra: categories and functors, universal and free objects, exact sequences, extensions. Representation theory for finite groups: irreducible representations and Schur's Lemma, characters, orthogonality. Galois theory: splitting fields, finite fields, extension fields of various types, Galois polynomial and group, fundamental theorem of Galois theory, symmetric functions.

    Prerequisites For graduate students in the mathematics Ph.D. program, there is no prerequisite. All other students should consult with the instructor regarding prerequisites.

    Text

    David S. Dummitt and Richard M. Foote, Abstract algebra, 3rd ed. available at the University Bookstore @ Stony Brook.

    Lectures The instructor for this course is Jason Starr. All instruction will occur in lectures. There are assigned readings in the course schedule which are to be completed before lecture. During lecture the instructor and the students will discuss the material from those readings, there will be exercises to practice the material, etc. For the lectures to be effective, you must complete the assigned reading from the syllabus before lecture.

    Lecture is held Tuesdays and Thursdays, 9:30 — 10:50AM in Physic P—130.

    Office hours are Thursday 11AM — 12NOON; 12:30 — 1:30 PM (advising hour); and 1:30 — 2:30 PM in Math Tower 4—108.

    Grading System The relative significance of exams and problem sets in determining final grades is as follows.

    Midterms 1 (26 Feb) — 2 (9 April).
    		40% (= 20% x 2)
    Problem Sets 1 — 5.
    		30% (= 3% x 10)
    Final Exam.
    		30%

    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.

    Student Accessibility Support Center (SASC) statement

    If you have a physical, psychological, medical, or learning disability that may impact your course work, please contact the Student Accessibility Support Center, Stony Brook Union Suite 107, (631) 632-6748 or at sasc@Stonybrook.edu. They will determine with you what accommodations are necessary and appropriate. All information and documentation is confidential. Student Accessibility Support Center Students who require assistance during emergency evacuation are encouraged to discuss their needs with their professors and SASC. For procedures and information go to the following website: Evacuation guide for people with physical disablilities

    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 instance of academic dishonesty to the Academic Judiciary. For more comprehensive information on academic integrity, including categories of academic dishonesty, please refer to the academic judiciary website at Academic Judiciary

    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 Judicial Affairs any disruptive behavior that interrupts their ability to teach, compromises the safety of the learning environment, or inhibits students' ability to learn. Further information about most academic matters can be found in the Undergraduate Bulletin, the Undergraduate Class Schedule, and the Faculty-Employee Handbook.

    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