## Finished

- Notes on the
*Yang-Mills equations on holomorphic bundles*(HYM connections, stable bundles, Donaldson-Uhlenbeck-Yau theorem and applications). (In Spanish). - Notes from an introductory talk on the
*Geometric Langlands Program*. (In Spanish). - Slides from an introductory talk on
*Category Theory*. (In Spanish). - Notes on several topics in
*Local Algebra*(depth, Auslander-Buchsbaum and completions). - Notes on
*Elliptic Operators*(in Spanish). (Basically a rip-off of Warner). - Recopilation of material for a course on
*Data Science*that I taught. - Notes on
*Principal Bundles*(in Spanish). Slides (in Spanish). - Notes on
*Hodge Theory*(in Spanish). File 1, File 2. - Mini-course on
*Symplectic Geometry and Classical Mechanics*.

## Unfinished

- Notes on
*Homological Algebra*(in Spanish). - Notes on the
*Hitchin-Kobayashi*correspondence for Higgs bundles over Riemann surfaces (in Spanish). - Notes on Riemann surfaces (in Spanish). Two versions: 1, 2.
- Notes on
*Coherent Sheaves*in complex analytic and algebraic geometry (in Spanish).

For more projects you can also check out my Github page.

## Translations and typesets

I have started making some translations (usually from French to English) of papers that I find interesting and that I think can be useful to other people. I also interested in typesetting in LaTeX old notes and books that are written on a typewriter. Some of the following are translations AND typesets. Most are unfinished, you can collaborate on them through Github.

*A finiteness theorem concerning compact analytic varieties*. English translation of a French paper by H. Cartan and J.-P. Serre.*Vector bundles over algebraic curves*. English translation of a French book by C. S. Seshadri. The French original is available here. You can contribute through the Github repository.

## Donate!

If you found some of the material provided here useful, you can always thank me by donating to the following Bitcoin address: `bc1qjpqpzfutycmrs9c0j84rjdxg29vfrs907kwedj`