MATHEMATICS 511D1, INTRODUCTION TO ALGEBRAIC GEOMETRY, SPRING 2016
Instructor: Sheldon Katz
Office and Hours: Wednesdays at 2 and Thursdays at 11, 301 Altgeld Hall, or by appointment
Phone/email: 2656258, katz AT math.uiuc.edu
Time and location: MWF 1111:50, 341 Altgeld Hall
Text: I. Shafarevich, Basic Algebraic Geometry, Volume 1: Varieties in
Projective
Space, Second Edition, SpringerVerlag, BerlinHeidelbergNew York 1994
Course Syllabus is here (last modified 2/28/16 to
include change in midterm date)
Supplementary class notes
Please let me know if you find typos or errors in these notes.
 Notes on sheaves, and regular functions
and maps. The purpose of these notes are to sketch a
unification of the separate treatments of affine, quasiaffine, projective, and
quasiprojective varieties in the main text. New material added 2/7/16
Homework
Warning: We are using the second edition of Shafarevich's book.
Problems in the first or third editions may be different
 Homework 1, due Wednesday, February 3. Note the extension
of the due date that was originally announced, and a minor correction to
the wording one of the homework problems was added on February 2.
 Homework 2, due Wednesday, February 17 Note that
an inconsistent day and date were posted earlier
 Homework 3, due Wednesday, March 2, Note the extension of
the due date that was originally announced.
 Homework 4, due Wednesday, March 30
 Homework 5, due Wednesday, April 13
 Homework 6, due Friday, April 29
Note the extension of
the due date that was originally announced.
 Homework 7, due Friday, May 6
Exams
 Midterm: Friday, March 4 (in class), Shafarevich Chapter I, supplemented by class notes
 Final: Wednesday, May 11, 1:304:30pm
Notes:
 Class on Wednesday, April 27 will be taught by Bill Haboush
 Office hours on Wednesday, April 27 and Thursday, April 28 are cancelled and
rescheduled to Friday, April 29 at 1pm and Friday, May 6 at 1pm
 Office hours will be held as usual for the rest of the week after classes end,
including the makeup time. No hours are scheduled for the week of May 9 but I am
available by appointment.
Seminars and other activities of interest
 Here is some information for students thinking about
working with me as a
thesis advisor

Graduate Student Algebraic Geometry Seminar, Tuesdays at 4pm, 243
Altgeld Hall
 Algebraic Geometry Seminar, Tuesdays at 3pm, 243 Altgeld Hall. Please
let me know
if you would like to be added to the mailing list.
 The Algebraic Geometry brown bag lunch takes place on Tuesdays at noon
in room 277 Illini Union (exceptions: 405 IU on February 9, and 213 IU on
April 5).
This is an informal
brown bag lunch, which will include informal 20 minute presentations
designed to be friendly to grad students. Please let me know
if you would like to be added to the mailing list.
 Graduate Geometry Topology Seminar, Fridays at 4pm, 243 Altgeld Hall
 Algebra, Geometry, and Combinatorics Seminar, Fridays at 4