TeXlyre: A local-first LaTeX and Typst web editor

TeXlyre is a new open-source web editor for LaTeX and Typst — two systems used to write and typeset technical, academic, and scientific documents (papers, theses, books). LaTeX is the decades-old standard in math, physics, and computer science; Typst is a newer, faster alternative gaining traction. "Local-first" means the editor runs in your browser and keeps your files on your own machine, not on a cloud server — appealing to privacy-conscious users and offline workflows. Existing popular editors include Overleaf (cloud-based LaTeX editor, widely used but requires internet and subscription for full features) and Typst's own official app. TeXlyre competes by offering both LaTeX and Typst support, a free self-hosted or local setup, and a modern interface built on web technologies.