Course Schedule and Office Hours#
The course schedule is maintained below. Note that this schedule is subject to change during the semester, so check back often!
Course Schedule#
Date |
Lec. |
Topic (Planned) |
Reading |
Notes |
HW Presenter |
|---|---|---|---|---|---|
T 8/26 |
Overview of course, Basic Topology Definitions |
1.1, 1.2, 1.3 |
N/A |
||
Th 8/28 |
Morse theory |
1.4, 1.5 |
Sona |
||
T 9/2 |
Simplicial complex basics |
2.1 |
Dawson |
||
Th 9/4 |
Complexes from point clouds |
2.2, 2.3 |
Jared |
||
T 9/9 |
Homology Part 1 |
2.4 |
Patience |
||
Th 9/11 |
Homology Part 2 |
2.5 |
Ian |
||
T 9/16 |
Python and homology |
EH IV.2 |
Bring laptop, download files from here |
Atoshi & Zhengrong |
|
Th 9/18 |
Filtrations, Betti curves, Induced maps |
2.5.1, 3.1 |
Ishika |
||
T 9/23 |
No class |
Watch an AATRN video and post about it on the slack channel |
|||
Th 9/25 |
No class |
||||
T 9/30 |
Filtrations & Persistence |
3.1, EH VII.1 |
None |
||
Th 10/2 |
Persistence algorithm |
3.1, EH VII.1 |
Jannik |
||
T 10/7 |
Persistence with Python |
None |
|||
Th 10/9 |
Persistence of point clouds |
Kevin, Patience, Nic |
|||
T 10/14 |
Bottleneck and Wasserstein Distance, Stability |
FIX |
Eugene |
||
Th 10/16 |
ML and Persistence |
13.1 |
|||
T 10/21 |
No class, Fall break |
||||
Th 10/23 |
TDA-ML Pipelines in Python |
13.1 |
|||
T 10/28 |
Liz in Australia, No Class |
||||
Th 10/30 |
No class |
||||
T 11/4 |
PL functions and Reeb Graphs |
3.1, 7.1 |
|||
Th 11/6 |
17 |
Distances for Reeb graphs |
My survey paper |
||
T 11/11 |
18 |
Mapper - Theory |
9.1/9.3 |
||
Th 11/13 |
19 |
Mapper - Practice |
|||
T 11/18 |
20 |
Directional Transform and the ECT |
|||
Th 11/20 |
21 |
ECT and PHT |
|||
T 11/25 |
22 |
Discrete Morse Theory |
|||
Th 11/27 |
No class - Thanksgiving |
||||
T 12/2 |
23 |
Multiparameter Persistence |
|||
Th 12/4 |
24 |
Merge Trees |
Office hours#
I will hold office hours by appointment. You can find a time that I am available at elizabethmunch.com/officehours.