Course Schedule#
The course schedule is maintained below. Note that this schedule is subject to change during the semester, so check back often!
Readings are from Dey & Wang, Computational Topology for Data Analysis (DW, free online) unless marked otherwise; EH is Edelsbrunner & Harer, Computational Topology: An Introduction. See the Textbook page for details.
Course Schedule#
Date |
Lec. |
Topic (Planned) |
Reading |
Notes |
Due |
|---|---|---|---|---|---|
16/9 |
Overview of course; basic topology definitions |
DW 1.1–1.3 |
HW 1 posted |
||
23/9 |
Manifolds and Morse theory |
DW 1.4, 1.5 |
Problem presentations begin |
||
30/9 |
Simplicial complexes |
DW 2.1–2.3 |
HW 1 |
||
7/10 |
4 |
Homology |
DW 2.4, 2.5 |
Final project introduced; paper list posted. HW 2 posted |
|
14/10 |
5 |
Computing homology |
DW 2.5.1, 3.1; EH IV.2 |
Bring laptop |
|
21/10 |
6 |
Persistent homology |
DW 3.2, 3.3; EH VII.1 |
HW 2 |
|
28/10 |
7 |
Persistence in practice |
DW 3.5, 6.1 |
Bring laptop. HW 3 posted |
Project proposal |
4/11 |
8 |
Distances between diagrams |
DW 3.4; EH VIII.2 |
Proposal feedback returned |
|
11/11 |
9 |
Persistence and ML |
DW 13.1, 13.3 |
Bring laptop |
HW 3 |
18/11 |
10 |
Reeb graphs and merge trees |
DW 7.1–7.3 |
HW 4 posted |
|
25/11 |
11 |
Mapper |
DW 9.1, 9.3 |
Bring laptop |
|
2/12 |
12 |
Directional transforms |
Presentation schedule posted |
HW 4 |
|
9/12 |
13 |
Discrete Morse theory, multiparameter persistence |
DW 10.1, 10.2, 11.1; Multiparameter survey |
||
16/12 |
Final project presentations |
Send slides by Tue 12/15 |
Project presentation |
||
23/12 |
No class |
Final report |
Homework and project deliverables are due at 23:59 on the date listed. Problem presentations take place at the start of every class from Lecture 2 onward; the presenter list will be posted here once enrollment has settled.
Key Dates#
Homework (posted two weeks before the due date): HW 1 due 9/30, HW 2 due 10/21, HW 3 due 11/11, HW 4 due 12/2.
Final project
10/7 — project introduced in class; suggested paper list posted
10/28 — project proposal due
11/4 — written feedback on proposals returned
week of 11/18 — optional check-in meetings, by appointment
12/2 — presentation schedule posted
12/16 — project presentations in class (slides by 12/15)
12/23 — final report due
Office Hours#
Office hours are by appointment - email me to set up a time.