Potential Master’s Thesis Projects

Topics & Reading List

Studies in TAG: Topology, Algebra, & Geometry

  1. Covering Spaces pdf This paper is the product of an REU, exhibiting a nice connection between topology & Galois theory.

  2. A Primer on Mapping Class Groups pdf A Research Textbook

  3. Intro to Mapping Class Groups pdf A nice reformulation of the first few chapters of the Primer above.

  4. Andrea Clark’s Thesis pdf More to be done here.

  5. Mobius Transformations

  • Indra’s Pearls Beautiful book of fractals that touches on topology, algebra & complex analysis.
  • Dated website on the text Indra’s Pearls.
  • Short overview pdf
  • Detailed notes that serve as a textbook. pdf

Computations, Data and Visualizations on Manifolds

  1. Contribute to GeomStats pdf

    • Riemannian geometry in Python.

  2. Computations with any topic in the TAG section.

  3. Represent data on manifolds & use the underlying geometry to tell you something about the data.

  4. Visualizations of geometric structures on surfaces. parallel transport