Fall 2024  MATH 818 G100
Algebra and Geometry (4)
Class Number: 5504
Delivery Method: In Person
Overview

Course Times + Location:
Sep 4 – Dec 3, 2024: Wed, Fri, 2:30–4:20 p.m.
Burnaby

Instructor:
Katrina Honigs
khonigs@sfu.ca
1 778 7824841
Description
CALENDAR DESCRIPTION:
An introduction to algebraic geometry with supporting commutative algebra. Possible topics include Hilbert basis theorem, Hilbert's Nullstellensatz, Groebner bases, ideal decomposition, local rings, dimension, tangent and cotangent spaces, differentials, varieties, morphisms, rational maps, nonsingularity, intersections in projective space, cohomology theory, curves, surfaces, homological algebra.
COURSE DETAILS:
The following topics will be covered:
 Hilbert's basis theorem
 Nullstellensatz and the Zariski topology
 Basic notions of affine and projective varieties
 Morphisms and rational maps between varieties
 Differentials and singularities
 Weil divisors and valuation rings
 The RiemannRoch theorem for curves
COURSELEVEL EDUCATIONAL GOALS:
Grading
 Assignments 60%
 Exam 40%
Materials
REQUIRED READING:
REQUIRED READING NOTES:
Your personalized Course Material list, including digital and physical textbooks, are available through the SFU Bookstore website by simply entering your Computing ID at: shop.sfu.ca/coursematerials/mypersonalizedcoursematerials.
Graduate Studies Notes:
Important dates and deadlines for graduate students are found here: http://www.sfu.ca/deangradstudies/current/important_dates/guidelines.html. The deadline to drop a course with a 100% refund is the end of week 2. The deadline to drop with no notation on your transcript is the end of week 3.
Registrar Notes:
ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS
SFU’s Academic Integrity website http://www.sfu.ca/students/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating. Check out the site for more information and videos that help explain the issues in plain English.
Each student is responsible for his or her conduct as it affects the university community. Academic dishonesty, in whatever form, is ultimately destructive of the values of the university. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the university. http://www.sfu.ca/policies/gazette/student/s1001.html
RELIGIOUS ACCOMMODATION
Students with a faith background who may need accommodations during the term are encouraged to assess their needs as soon as possible and review the Multifaith religious accommodations website. The page outlines ways they begin working toward an accommodation and ensure solutions can be reached in a timely fashion.