MAT 215C, Spring 2021


Instructor: Eugene Gorsky, egorskiy AT
Office hours: F 3-4pm on zoom.
If you have a question and cannot come at office hours, write me an email to schedule an appointment.


The textbook for the course is "Algebraic Topology" by Allen Hatcher.

Online instruction

All instruction for this course will be done online until further notice. We will use Zoom as a main tool for lectures. You can either download and install the Zoom app, or joint using web browser.
Resources: Getting Started on Zoom, System Requirements (including list of supported browsers).

All lectures will be done live on Zoom at scheduled class time (MWF 2:10-3:00), Zoom room will open at 2:00.
You should be able to access Zoom directly from Canvas

Lectures will be automatically recorded and uploaded to Canvas, along with the lecture notes.

Please remember that my lectures and course materials are protected by U.S. copyright law and by University policy. I am the exclusive owner of the copyright in those materials I create. You may take notes and make copies of course materials for your own use. You may also share those materials with another student who is enrolled in or auditing this course. You may not reproduce, distribute or display (post/upload) lecture notes or recordings or course materials in any other way - whether or not a fee is charged - without my express prior written consent. You also may not allow others to do so. If you do so, you may be subject to student conduct proceedings under the UC Davis Code of Academic Conduct.

Code of Academic Conduct

The Code of Academic Conduct exists to support high standards of behavior and to ensure fair evaluation of student learning. Students who violate the Code of Academic Conduct are subject to disciplinary sanctions that include censure, probation, suspension, deferred separation or dismissal from the University of California. The code can be found at this link , or here . Cheating will be taken extremely seriously, and will be referred to Student Judicial Affairs.

In particular, it is OK to discuss homework problems with others, but you have to write the solutions in your own words . You cannot copy solutions from other students, books or the Internet.

For the midterms and the final, you are not allowed to discuss problems with anyone else or search the Internet. It follows exactly the same rules as the in class exam. If we observe that your solutions match someone else's or some Internet resource, your exam grade will be annuled.

Academic Participation Requirements

The campus requires students to verify that they have begun each course for which they are registered via the Academic Participation program. This program also encourages students to acknowledge their responsibilities regarding academic integrity and the Code of Academic Conduct, reinforcing our campus culture of honesty.

MyUCDavis will notify students online and through email on the first day of instruction to complete their Academic Participation verification no later than the quarter add deadline. Failing to verify academic participation by this deadline may result in a reduction of the financial aid award.

Please see more details by this link .

Final grade

The grade will be 100% based on the homeworks, the lowest homework score is dropped. There will be no midterms or final exam.


1. Cohomology. HW 1

2. Kunneth formula, cup product. HW 2

3. Manifolds, orientation, fundamental class. HW 3 , HW 4 , HW 5

4. Poincare duality, intersection form. HW 6 , HW 7

5. De Rham cohomology. HW 8

6. Vector bundles. HW 9

Disability Services

Any student with a documented disability who needs to arrange reasonable accommodations must contact the Student Disability Center (SDC). Faculty are authorized to provide only the accommodations requested by the SDC. If you have any questions, please contact the SDC at (530)752-3184 or