Background Reading and References

The PDF file TDA Background Reading gives a brief two page introduction to the topic, with links to several downloadable papers and an extensive list of others. Two good starting points are

Some more specific references to topics in lectures (full citations to be added):

  •  Papers by Bubenik on Persistence Landscapes, for example The Persistence Landscape and Some of its Properties at, also available here
  • The Ring of Algebraic Functions on Persistence Bar Codes by Aaron Adcock, Eric Carlsson and Gunnar Carlsson in Topology, Homotopy and Applications 18(1) (2013), DOI: 10.4310/HHA.2016.v18.n1.a21