Course Schedule and Office Hours

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

1

Overview of course, Basic Topology Definitions

1.1, 1.2, 1.3

N/A

Th 8/28

2

Morse theory

1.4, 1.5

Sona

T 9/2

3

Simplicial complex basics

2.1

Dawson

Th 9/4

4

Complexes from point clouds

2.2, 2.3

Jared

T 9/9

5

Homology Part 1

2.4

Patience

Th 9/11

6

Homology Part 2

2.5

Ian

T 9/16

7

Python and homology

EH IV.2

Bring laptop, download files from here

Atoshi & Zhengrong

Th 9/18

8

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

9

Filtrations & Persistence

3.1, EH VII.1

None

Th 10/2

10

Persistence algorithm

3.1, EH VII.1

Jannik

T 10/7

11

Persistence with Python

None

Th 10/9

12

Persistence of point clouds

Kevin, Patience, Nic

T 10/14

13

Bottleneck and Wasserstein Distance, Stability

FIX

Eugene

Th 10/16

14

ML and Persistence

13.1

T 10/21

No class, Fall break

Th 10/23

15

TDA-ML Pipelines in Python

13.1

T 10/28

Liz in Australia, No Class

Th 10/30

No class

T 11/4

16

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.