Research
Research
I am interested in both theoretical and applied aspects of Topological Data Analysis and Topological Robotics. On the theoretical side, in particular, I am currently developing my understanding and pursuing my research in the following topics:
projective and injective modules over the incidence algebra on a (locally-finite) poset;
exact structures of persistence modules over a (locally-finite) poset.
Persistent Homology of Configuration Spaces of Trees arXiv: 2310.05303, October 2023.
Notes on Pointwise Finite-Dimensional 2-Parameter Persistence Modules arXiv: 2404.13877, April 2024.Â