Personal Website - Niny AM
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Updated
May 12, 2024 - HTML
Personal Website - Niny AM
Chain complexes in Julia
Studying biomolecules with persistence homology
RIVET is a tool for Topological Data Analysis, in particular the interactive visualization of two-parameter persistent homology.
New formulas for cup-i products and fast computation of Steenrod squares.
Manipulation of binary tree topologies
We cover some of the the most important concepts of algebraic topology in order to explore how deep neural networks operate in their hidden layers and why they are so amazingly efficient
Software for computing the thickness-breadth balls of topological holes from a 3D volumetric object represented by polygonal mesh of its surface.
Drafts of textbooks. One on the math inspired by supersymmetric field theories. One on low dimensional (below 3+1) integrable physics.
This package provides tools to work with Sullivan forms, Dupont forms, and the Dupont contraction from Sullivan to Dupont forms. In particular, it allows for the computation of the transferred homotopy commutative structure on Dupont forms.
Algorithm I made accompanying my Master's thesis.
Extensive learning notes on mathematics
Literate programming approach for LAR in Julia, source of https://github.com/cvdlab/LARLIB.jl
A 2021 Vacation Scholarship project titled "Axiomatic Homology and the Borsuk-Ulam Theorem."
An axiomatic characterization of Steenrod cup-i products
Estimation of Neural Network Dimension using Algebraic Topology and Lie Theory.
A repository for my undergraduate final year project
A set of scripts for parsing definitions of graded (co)algebras.
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