Previous research:
- Luke Brown, Giovanni Ferrer, Gamal Mograby, Luke G. Rogers, Karuna Sangam, Harmonic Gradients on Higher-Dimensional Sierpiński Gaskets. Fractals Vol. 28, No. 06, 2050108 (2020). (Published version) (arXiv)
- Karuna Sangam, Homeomorphisms of the Sierpiński Carpet, (2018). (Bard College archives)
Recently, I have been thinking about knot theory, 3- and 4-manifolds, and Heegard Floer homology.