Best AI Tools for Writing a Math Thesis in LaTeX?

I'm currently writing a mathematics thesis in LaTeX and have been using VS Code with GitHub Copilot for assistance. While Copilot is helpful for generating small snippets and boilerplate code, I feel it lacks the deeper understanding needed for more complex mathematical typesetting and structure.

Are there any AI tools specifically tailored for LaTeX, or perhaps more advanced than Copilot, that can:

Help with complex math typesetting and formatting? Suggest improvements to document structure? Provide feedback or automate parts of the writing process, like creating tables of contents, references, or well-structured proofs? Support working with external papers—for example, summarizing content, extracting references, or integrating relevant ideas into my thesis? Also, is it possible to integrate VS Code with a more powerful AI system for this purpose? If so, how? I'm curious if there are workflows or tools that could make thesis writing smoother and more productive.

Would love to hear your recommendations and experiences!