|Lectures||TTh 12:30–2:00, Evans 47|
|Office Hours||TTh 11–12:30|
excluding university holidays.
Please email me to set up a time to meet if you cannot make any of these times.
|Prerequisites||Math 254A and 256A; 256B or current enrollment in 256B may be required|
|Catalog Description||Valuations, units, and ideals in number fields, ramification theory, quadratic and cyclotomic fields, topics from class field theory, zeta-functions and L-series, distribution of primes, modular forms, quadratic forms, diophantine equations, p-adic analysis, and transcendental numbers.|
|Syllabus||I plan to cover the more advanced topic of Arakelov theory, including applications to diophantine problems.|
|Grading||Grades will be based on homework assignments, and possibly in-class quizzes. There will be no final exam, but the last problem set will be due sometime during the week of final exams.|
|Homework||Weekly or biweekly, assigned in class|
|1||January 22||Solution to Hartshorne II Ex. 3.15||download|
|2||January 24||Nonsingular projective curves and their function fields||dvi|
|3||January 29||Chapter 0: Preliminary material (for reference only)||dvi|
|4||January 29||Chapter 1: Heights||dvi|
|5||March 7||Chapter 2: Weil function||dvi|
|6||April 4||Chapter 3: Models|
Solutions will be posted on bCourses after each assignment has been graded.
|15||Wednesday, 5/15 5pm||dvi||Revised 5/11|
Last updated 11 May 2019