MAT 614 Course Webpage
Topics in Algebraic Geometry: Using Algebraic Geometry
Tu Th 11:30AM 12:50PM, Math Tower 4130
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).
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.
Students should have passed the graduate algebra sequence. A basic
understanding of the language of modern algebraic geometry will also
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.
The instructor for this course is
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 4130.
to the current office hours.
As discussed at the first class meeting, grading will be based on
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)
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.
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
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
is explicitly amended by SBU, during Fall 2021 "disruptive
behavior" will include refusal to wear a mask during classes.
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4-108 Math Tower
Department of Mathematics
Stony Brook University
Stony Brook, NY 11794-3651