I have just finished this translation! [Here][1] is the TeX source, and [here is a (live) PDF][2]. Hopefully there shouldn't be too many mistakes :-) [1]: https://github.com/thosgood/translations/blob/master/the-riemann-roch-theorem/the-riemann-roch-theorem.tex [2]: https://latex.aslushnikov.com/compile?git=https%3A%2F%2Fgithub.com%2Fthosgood%2Ftranslations&target=the-riemann-roch-theorem%2Fthe-riemann-roch-theorem.tex&command=pdflatex&trackId=1595186565526