Topics in Algebraic Geometry

Course Description and Grading Breakdown

The first part of the course will deal with the basic theory of toric varieties, with an emphasis on their use as a source of examples.  Later on, we will discuss logarithmic geometry and how it can be understood as a generalization of toric geometry.  Time permitting, we may discuss Mumford's work using log smooth geometry to prove the semistable reduction theorem in characteristic zero and construct toroidal compactifications of moduli spaces of abelian varieties.  It should be possible to follow the course if you have taken Math 130a.

For the first part of the course I will be loosely following the online notes of David Cox available here, as well as Fulton's classic book.

Course Meeting Time and Location
Tuesday and Thursday
2:30 - 3:55 pm
255 Linde

Course Instructor Contact Information and Office Hours
279 Linde Hall

Course Schedule and Textbook


Course Policies
Late work - 

 Date PostedAssignment Due Date 

Midterm and Final Exam

Collaboration Table
You may consult:  
Course textbook (including answers in the back)YESYES
Other booksYESNO
Solution manualsNONO
Your notes (taken in class)YESYES
Class notes of othersYESNO
Your hand copies of class notes of othersYESYES
Photocopies of class notes of othersYESNO
Electronic copies of class notes of othersYESNO
Course handoutsYESYES
Your returned homework / examsYESYES
Solutions to homework / exams (posted on webpage)YESYES
Homework / exams of previous yearsNONO
Solutions to homework / exams of previous yearsNONO
Emails from TAsYESNO
You may:

Discuss problems with othersYESNO
Look at communal materials while writing up solutionsYESNO
Look at individual written work of othersNONO
Post about problems onlineNONO
For computational aids, you may use:


* You may use a computer or calculator while doing the homework, but may not refer to this as justification for your work.  For example, "by Mathematica" is not an acceptable justification for deriving one equation from another.  Also, since computers and calculators will not be allowed on the exams, it's best not to get too dependent on them.