CS 6170: Computational Topology 
Scribe Information 
Scribe Template:
Each student is required to scribe for at least one lecture. The scribe LaTex template can be found here.

Final Project Presentations 
Please contact the TA to sign up as soon as possible.

Schedule (subject to change, guest lectures marked with a *) 







1  1/10  Introduction  Special Topics  Lecture 01  
1/12  Basics: graphs, connected components  A.I  Lecture 02 
Scribe 02 Tim Sodergren 

2  1/17  Basics: topological spaces, unionfind  A.II  Lecture 03 
Scribe 03 Jessica Lohse 

1/19 
Complexes on data; Application: sensor networks 
A.III  Lecture 04  [Quiz 1] [Quiz 1 Solution] 
Scribe 04 Jadon Wagstaff 

3  1/24  Simplicial Complexes  A.III  Lecture 05 
Scribe 05 Prem Narayanan 

1/26  VietorisRips, Cech, Delaunay and Alpha Complexes  B.IV  Lecture 06 
Scribe 06 Sam Leventhal 

4  1/31  Homotopy equivalence, manifold  A.II  Lecture 07 
Scribe 07 Avani Sharma and Navid Farhoudi 

2/2  Homology  B.IV  Lecture 08 
Scribe 08 Celeste Hollenbeck 

5  2/7 
Persistent homology in a nutshell; Application: TDA for brain networks* 
Special Topics  Lecture 09  [Youtube: Introduction to Persistent Homology By Matthew Wright] [Persistent Homology of Complex Networks] [Kernel Partial Least Squares Regression for Relating Functional Brain Network Topology to Clinical Measures of Behavior] 
Scribe 09 Vipin Jose 
2/9  Cohomology in a nutshell, dimension reduction with circular coordinates; Application: memory reference frame analysis*  Special Topics  Lecture 10  [Topological Analysis and Visualization of Cyclical Behavior in Memory Reference Traces ] [Branching and Circular Features in High Dimensional Data] [Persistent Cohomology and Circular Coordinates] 
Scribe 10 Adam Conkey 

6  2/14  Computing persistent homology  C.VII  Lecture 11 
Scribe 11 Kevin Childers 

2/16  Computing homology  B.IV  Lecture 12 
Scribe 12 Waiming Tai 

7  2/21  Computing homology and persistent homology, revisited  Lecture 13 
Scribe 13 Sahar Mehrpour 

2/23  Duality between homology and cohomology  B.V  Lecture 14  [Quiz 2] [Quiz 2 Solution] 
Scribe 14 Drew McClelland 

8  2/28  Persistent homology for large data: software packages*  Special Topics  Lecture 15 
[Miniproject 1 (Due Mar 21)] [Project Description] [Datasets] 
Scribe 15 Paul English 
3/2  Persistent homology for large data: spectral sequence, clear and compress*  Special Topics  Lecture 16  [Persistent Homology Computation with a Twist] [Clear and Compress: Computing Persistent Homology in Chunks] [Distributed Computation of Persistent Homology] 
Scribe 16 Zahra Fahimfar 

9  3/7  Morse function  B.VI  Lecture 17 
Scribe 17 Yiliang Shi and Benwei Shi 

3/9  Morse lemma and Reeb graph  B.VI  Lecture 18 
Scribe 18 Mohammed Musaddiq and Justin Boyer 

10  3/14  Happy Spring Break!  Start thinking about final project no later than this date!  
3/16  Happy Spring Break!  
11  3/21  Piecewise linear function and computing Reeb graph  B.VI  Lecture 19 
Scribe 19 Adam Brown 

3/23  Multivariate data analysis: mapper  Special Topics  Lecture 20  [Topological Methods for the Analysis of High Dimensional Data Sets and 3D Object Recognition] [Extracting Insights from the Shape of Complex Data Using Topology] [Topology based data analysis identifies a subgroup of breast cancers with a unique mutational profile and excellent survival] 
Scribe 20 Gurupragaash Annasamymani 

12  3/28  More on mapper  Special Topics  Lecture 21 
[Final Project Proposal Due] Start final project no later than this date! 
Scribe 21 Zhimin Li 
3/30  Stability of persistence diagrams 
C.IX Special Topics 
Lecture 22  [Stability of Persistence Diagrams] 
Scribe 22 Ramkashyap Seethamraju 

13  4/4  Elevation for protein docking  Special Topics  Lecture 23  [Extreme Elevation on a 2Manifold] [Coarse and Reliable Geometric Alignment for Protein Docking] [Computing Elevation Maxima by Searching the Gauss Sphere ] 
Scribe 23 Will Usher 
4/6  More on Elevation function; Reeb space  Special Topics  Lecture 24  [Quiz 3] [Quiz 3 Solution] [Elevation in a nutshell] 
Scribe 24 Di Wang 

14  4/11  Data Science for Topologists  Special Topics  Lecture 25  [Data Science for Topologists: By Jennifer Gamble] [Topological Complexity in Protein Structure: By Erica Flapan] Talks at AWM Research Symposium WinCompTop Special Session: Applications of Topology and Geometry April 89, 2017 
Scribe 25 Qi Wu 
4/13  TDA for vector field data  Special Topics  Lecture 26  [Robustness for VF Simplification] 
Scribe 26 Michael Matheny 

15  4/18  Persistent local homology and its applications  Special Topics  Lecture 27  [Local Homology Transfer and Stratification Learning] 
Scribe 27 Pavol Klacansky 
4/20  Persistent local homology and its applications  Special Topics  Lecture 28  [Exploring Persistent Local Homology in Topological Data Analysis] 
Scribe 28 Matthew Territo 

16  4/25 
MorseSmale Complexes Scalable TDA via sparsification* 
Special Topics  Lecture 29  [Quiz 4] [ Hierarchical MorseSmale Complexes for Piecewise Linear 2Manifolds ] [Lecture notes by Guoning Chen] [MSC in nutshell] [A Geometric Perspective on Sparse Filtrations] 
Scribe 29 Sheyne Anderson and Dietrich Geisler 
17  5/1  Final Project Presentation Day 1  1:00 p.m.  5:30 p.m. WEB 3840  
5/2  Final Project Presentation Day 2  1:00 p.m.  5:30 p.m. WEB 3840  
5/3 
Final Project Due 11:59 p.m. (Report and Source Code) 
Resources 
TDA Classes on the Web: Other TDA Resources on the Web: Topology Classes/Books on the Web: 