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Open-source mathematics software system

GSoC Participation History

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Classification of Maximal Exceptional Sequences on Smooth Fano Toric Varieties

This project will enhance SageMath to systematically handle maximal exceptional sequences on smooth Fano toric varieties. We will add new Fano...

Topics:mlai

Poincaré normal form of Riemann matrices

The project aims to compute the Poincaré normal form of Riemann matrices in SageMath. This computation enables the decomposition of theta functions...

Topics:aiui

On the Implementation of the O(|E|⋅√|V|) Micali-Vazirani Algorithm

Matchings and perfect matchings have received considerable attention in graph theory as well as in other related domains (such as, but not limited...

Topics:ai

The Boson-Fermion Correspondence and Vertex Operators

The boson-fermion correspondence is an isomorphism of two representations of the Heisenberg algebra. It can be stated as a way to construct a special...

Topics:ai

Functionalities for Krylov methods over exact fields

This project aims to add Krylov subspace methods for matrices over exact fields: representation of the kernel, co-kernel of a matrix of univariate...

Topics:ai
advanced

Paths and cycles enumeration methods in graphs

This project focuses on enumeartion of k shotest simple paths. This problem has practical applications in various networks, such as road and...

Topics:aiui

Self Paired Hopf Algebra on Double Posets

This project implements the combinatorial Hopf algebra of double posets. A double poset is a set with two partial orders, and their isomorphism...

Topics:aiui

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