R pipeline for computing persistent homology in topological data analysis. See https://doi.org/10.21105/joss.00860 for more details.

A package for various computations with simplicial complexes, combinatorial codes, directed complexes and their filtrations.

Computing homology groups of simplicial complexes

Software for computing the thickness-breadth balls of topological holes from a 3D volumetric object represented by polygonal mesh of its surface.

Topological Data Analysis using cubical homology. Implements algorithms from Tomasz Kaczynski's Computational Homology. Utilizes the open-source exact linear algebra library LinBox for Smith normal form computations. Uses these TDA methods to compute the cubical homology of grids obtained from cellular automata.

ANUBiS is a C++ library of high-performance algorithms for computing topological invariants of point sets and simplicial topological spaces.

A software for computational topology

Talks I have given at various occasions.

Persistent homology for rings and persistent k-theory modulo finite fields.

Computes polyhedral fundamental domains and homology of the moduli space of unlabeled networks on n vertices. Generalizes to polyhedral region X, finite group G with linear action.

A header-only library for computing simplicial homology of meshes.