MAT 614 — Fall 2021 Problem Sets MAT 614 — Fall 2021 Schedule

MAT 614 Course Webpage
Topics in Algebraic Geometry: Using Algebraic Geometry
Tu Th 11:30AM — 12:50PM, Math Tower 4—130

Fall 2021

  • Problem sets
  • Syllabus

  • Course Announcements
  • Course Description
  • Prerequisites
  • Text
  • Lectures
  • Office Hours
  • 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 How do we use the language of varieties, schemes, sheaves and cohomology to solve the type of algebraic geometry problem that arises often in pure mathematics? This course will survey and illustrate a number of techniques for using algebraic geometry to solve problems: intersection theory, parameter spaces, moduli spaces, algebraic stacks, Hodge theory, deformation theory, etc. The choice of topics will be finalized with input from the students.

    Prerequisites Students should have passed the graduate algebra sequence. A basic understanding of the language of modern algebraic geometry will also be essential.

    Text There is no required textbook. Our approach will be to survey techniques with only a brief overview of proofs, but with links to the literature. The list of references will grow as the semester progresses.

    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, 11:30 AM — 12:50PM in Math Tower 4—130.

    Office Hours Here is a link to the current office hours.

    Grading System As discussed at the first class meeting, grading will be based on class participation.

    Disability Support Services

    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 They will determine with you what accommodations 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 the Student Accessibility Support Center. For procedures and information go to the following website: and search Fire Safety and Evacuation and Disabilities.

    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 Student Conduct and Community Standards any disruptive behavior that interrupts their ability to teach, compromises the safety of the learning environment, or inhibits students' ability to learn. Until/unless the latest COVID guidance is explicitly amended by SBU, during Fall 2021 "disruptive behavior" will include refusal to wear a mask during classes.

    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