Flexible and efficient persistent homology computation.

What C# can do for studying Finite Groups, quotient groups, semi-direct products, homomorphisms, automorphisms group, characters table, minimalistic rings and fields manipulations, polynomials factoring, fields extensions and many more...

R package porting Ripser-based persistent homology calculation engines from C++ via Rcpp. Currently ports Ripser (Vietoris-Rips complex) and Cubical Ripser (cubical complex).

A python CICY toolkit

Basic abstractions and methods for computations in terms of group algebra Z[G] and automatic construction of cocycle translations for computation of cup-product.

An implementation of the Atiyah-Bott formula for the moduli space of genus 0 stable maps.

Computes cohomology groups of certain chain complexes associated to pure or mixed states. For pure states this cohomology is a measure of entanglement. For more information see https://arxiv.org/abs/1901.02011.

Computes the ranks of cohomology groups of certain chain complexes associated to pure or mixed states. For pure states this cohomology is a measure of entanglement. For more information see https://arxiv.org/abs/1901.02011.

Cognosis branch of Morphological Source Code (MSC), implemented in Python3 for contemporary hardware. Operates as a quantized kernel of agentic motility, akin to a Hilbert space kernel; augmented by an AdS/CFT-dual Noetherian jet space enabling topos-invariant syntax-lift/lower, morphological differentiation, and morphosemantic integration.

Ontogeny and pedagogy of Morphological Source Code (MSC), implemented in Python3 for contemporary hardware. Operates as a quantized kernel of agentic motility, akin to a Hilbert space kernel; augmented by an AdS/CFT-dual Noetherian jet space enabling topos-invariant syntax-lift/lower, morphological differentiation, and morphosemantic integration.

Convergence-theoretic reformulation of the Hodge Conjecture for K3 surfaces, with flow-based projection methods, numerical experiments, and symbolic generalizations to abelian varieties and Calabi–Yau threefolds.

The M Conjecture proposes a collapse-theoretic foundation for understanding: Motives Mirror Symmetry The category of motives 𝕄_mot By reinterpreting them as functorially-generated fixed points of structural degeneration in the AK Collapse Theory.

A set of scripts for parsing definitions of graded (co)algebras.

A UI build around scikit's ripser module to provide more insight into persistence cohomology.

A Python script to compute cohomology of irreducible homogeneous vector bundles on rational homogeneous varieties.

a Julia package for computing the homology of (co)chain complexes

Persistent cohomology operations and Gromov-Hausdorff estimates

my personal Mathematica packages