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 |
|---|---|---|---|---|---|
16/09 |
Overview of course; basic topology definitions |
DW 1.1–1.3 |
HW 1 posted |
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23/09 |
Simplicial complexes |
DW 2.1–2.3 |
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30/09 |
Homology |
DW 2.4, 2.5 |
HW 1 |
||
07/10 |
Computing homology and filtrations |
DW 2.5.1, 3.1; EH IV.2 |
HW 2 posted |
||
14/10 |
5 |
Persistent homology |
DW 3.2, 3.3; EH VII.1 |
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21/10 |
6 |
Reeb graphs and merge trees |
DW 7.1, 7.2 |
Final project introduced; paper list posted. |
HW 2 |
28/10 |
7 |
Mapper |
DW 9.1, 9.3 |
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04/11 |
8 |
Persistence in practice |
DW 3.5, 6.1 |
HW 3 |
Project proposal |
11/11 |
9 |
Persistence and Machine Learning |
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18/11 |
10 |
Distances and stability |
DW 3.4; EH VIII.2 |
HW 3 |
|
25/11 |
11 |
Persistence and machine learning |
DW 13.1, 13.3 |
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02/12 |
12 |
Directional transforms |
Presentation schedule posted |
||
09/12 |
13 |
Discrete Morse theory, multiparameter persistence |
DW 10.1, 10.2, 11.1; Multiparameter survey |
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16/12 |
Final project presentations |
Send slides by Tue 15/12 |
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 01/10, HW 2 due 21/10.
Final project
21/10 – project introduced in class; suggested paper list posted
22/10 to 3/11 – proposal appointments (book a slot with me)
11/11 – written proposal due (accepted only after your appointment)
18/11 – written feedback on proposals returned
02/12 – presentation schedule posted
16/12 – project presentations in class (slides by 15/12)
23/12 – final report due
Office Hours#
Office hours are by appointment; email me to set up a time.