5/2/23: Another better late than never: forgot to tell you here about
extra office hours: 5-6 p.m. CDT. It was announced earlier on the
Outlines page. The standard Zoom link for office hours: Zoom
here.
5/2/23: Another better late than never: forgot to tell you here about
extra office hours: 5-6 p.m. CDT. It was announced earlier on the
Outlines page. The standard Zoom link for office hours: Zoom
here.
5/2/23: Better late than never: talking to Miranda, I have realized
that Vakil's exercise 18.4.C, which is on HW6, is somewhat sloppily
worded. It is actually meant that the divisor of a nonzero rational
section of an invertible sheaf (i.e., line bundle) is defined when the
section does not have poles and zeros at singular closed points
of the curve. And nonzero, more precisely, is meant to
be nonvanishing on each irreducible component of the curve.
4/24/23: HW7 is posted, due Wednesday, May 3.
4/19/23: The slides from Wednesday, April 19, Zoom class are posed on
the Outlines page, which may be accessed from the main course web
page.
4/14/23: As I told you in class, HW6 will be due Monday, April 24.
4/14/23: I have to cancel my office hours on Monday and Tuesday, April
17-18, as I plan to be still driving to Stony Brook. I will hold
make-up office hours on Wednesday, April 19, 12-12:50 p.m., and
Thursday, April 20, 1:05-1:55 p.m.
4/14/23: I have replaced 21.7.C with 18.5.A on HW6 and reduced the
reading assignment in Section 21.7.
4/12/23: I have posted recordings of April 10 and 12 lectures on
Canvas under Media Gallery.
4/11/23: HW6 is posted, due Friday, April 21.
4/11/23: I would like to remind you that I will be participating in a
program on SuperGeometry and SuperModuli at the Simons Center for
Geometry and Physics in Stony Brook NY starting from April 19 through
the end of the semester. I am canceling the Monday, April 17, course
meeting, as I will be traveling to Stony Brook. And then all the
subsequent course meetings will be happening online, on Zoom. The Zoom
links we had in place this semester will work.
4/10/23: Sorry, I forgot to mention that HW5 is based on Vakil's text
version of 12/31/2022. From now on, let us switch to the April 1,
2023, version. I hope it is not a joke!
4/7/23: As per the anonymous blackboard suggestion, the due date for
HW5 is postponed further to Sunday, April 9. Weekends are the best
workdays for a mathematician. Get used to that!
4/3/23: I have just updated the reading assignment in HW5 to include
only relevant subsections (and avoid the irrelevant ideals).
4/1/23: HW5 is posted, due on Friday, April 7. It is 6 problems, but
they should be pretty easy. Sorry for the delay in posting it.
4/1/23: I have posted a recording of 3/31/23 lecture on Canvas.
3/29/23: I will be out of town starting from April 17 through the
end of the semester, participating in the program
on SuperGeometry
and SuperModuli at the Simons Center for Geometry and Physics
in Stony Brook, NY. All class meetings and office hours will be
happening on Zoom then.
3/29/23: I also have to cancel my office hours this Friday and move
the Friday course meeting to 1:30-2:25 p.m. It's all related to the
visit of Mike Hill, perhaps, the best topologist in his generation
(2006 Ph.D.). The classroom will be the same Amundson Hall 116. My
impression is that it is available before our standard class
meeting. Mike Hill is going to give a colloquium talk on Group
actions, algebra up to homotopy, and flavors of commutativity on
Friday, 2:30-3:30, in Lind Hall 325. I am sure it will be
enlightening, entertaining, and reasonably comprehensible. He is a
great speaker.
3/27/23: I have to move my tomorrow's (Tuesday, 03/28) office hours to
1:25-2:15 because of a unusually scheduled faculty meeting. As always,
Tuesday office hours happen on Zoom only.
3/26/23: I have added more clarifications on the material of Friday
lecture (why the sum in div φ is finite and how divisors
correspond to line bundles) to the document posted Saturday early
morning.
3/25/23: I am writing a clarification and correction of the
proposition we had in class about the ring homomorphism: K(X) →
K(OX,p), as well as a recap of what was done quickly at the
end of the class. The link to a pdf file will be posted on the
Homework page, with links here and
on Class
Outlines.
3/22/23: On the occasion of going slower than planned, the due date
for HW4 is postponed further to Monday, March 27.
3/19/23: I would like to move my Tuesday's office hours this week 20
minutes earlier than usual, to 12-12:50, because of a committee
meeting. I will hold these office hours in my office and online at the same time.
3/17/23: On the occasion of St. Patrick's Day, the due date for HW4 is
postponed to Friday, March 24.
3/12/23: Homework 4 is posted -- 6 problems again. Due Wed, March
2. Should you have any question or need a hint, do not hesitate to
ask. I apologize for the delay.
2/28/23: Because too many people feel overwhelmed before the break,
the due date for HW3 is postponed to March 3.
2/26/23: Apart from the hint I added to Homework 3 a few days ago, I
am just about to add a correction to Vakil's typo in 22.2.U, noticed
by Connor: it should be
p1*ΩX/Z⊕p2*ΩY/Z.
2/19/23: Homework 3 is posted -- 6 problems. Due Wed, March 1. Should
you have any question or need a hint, do not hesitate to ask. I
apologize for the delay.
2/8/23: I would like to dedicate February 14 to my loved ones, so I am
moving my office hours for this Tuesday (tomorrow) to 10-11
am. However, if you would like to talk to me some other time, I will
be happy to interrupt the Valentine Day festivities and meet with you
personally, especially give that I love talking to you folks. Any
other day will work, too. Just drop me a line or talk to me after
class.
2/8/23: I have adjusted the course outline and reading assignment in
HW2.
2/7/23: The slides and recording from Monday, February 6, Zoom class
are posed on Canvas.
2/4/23: Homework 2 is posted -- 6 problems. Due Wed, Feb 15. Should
you have any question or need a hint, do not hesitate to ask. I
apologize for the delay (I was planning to post it on Friday night. A
few things popped up and prevented me to do that.)
2/2/23: I will have to work remotely this coming Monday, February 6. I
will be doing the Monday class meeting on Zoom, as well as office
hours, 12:50-1:40 on Zoom.
1/27/23: I wanted to finish this week at 14.9-14.10, which is what is
needed to do homework problem 14.12, but I have only covered Chapter
14 through 14.7. We will surely discuss 14.9-14.10 on Monday. I have
added a hint to Problem 14.12 on the homework. Make sure to reload
the pdf page to see the latest version of the homework.
1/21/23: Homework 1 is posted -- 7 problems. Due Wed, Feb 1. Should
you have any question or need a hint, do not hesitate to ask.
1/20/23: Here are instructions on how to submit your homework. (The
first one is due by 11:59 pm on Wednesday, February 1.) Please submit
homework electronically on Gradescope at
https://www.gradescope.com/courses/500650.
If you do not have a Gradescope account, you may sign up for one using
your umn.edu address or access it through Canvas. I will not maintain
the Canvas page. Please submit homework directly to Gradescope.
1/20/23: I broadcast each class meeting on Zoom, so that you are able
to stay at home, should you get sick or need to quarantine. It is the
same link for all the class meetings:
Join Lecture on Zoom
https://umn.zoom.us/j/92246209888?pwd=Y3I0d2FrMTM2aHdGdWJGcmU4eFc1QT09
Meeting ID: 922 4620 9888
Passcode: uf9vSg
I also have a Zoom link for office hours:
Join Office Hours on Zoom
https://umn.zoom.us/j/96063441796?pwd=dnN0TC9Dc3NmRFVTS0l5Nk1VZlBSZz09
Meeting ID: 960 6344 1796
Passcode: 4WGRVf
My Monday and Friday office hours will take place in my
office VinH 324 and on Zoom, while my Tuesday office hours will be
held mostly on Zoom.
1/20/23: I recommend the following way to study for this class. Attend
each class, take notes, participate in class actively. After each
class, review your notes and study the corresponding part of the
textbook. You can find out which part of the text has been covered by
referring to the Class Outlines page. Then do the assigned homework
problems pertinent to that material. I also encourage you to work
in study groups on the homework, as most of you did in the
first term. Here is a guide
on How to
Form a Successful Study Group.
1/20/23: If you need to register for this course and the system
prevents you from doing that, please send a message to Stephanie
Lawson at ugrad@math.umn.edu and ask for a permission number. If
permission is granted, go to OneStop and register.
Last modified: (2023-05-02 17:09:45 CDT)