First of all, sorry to hear that you've lost your ability to type for a few months. That must be frustrating, and I hope you recover quickly. Something similar to me happened during my PhDPh.D. and I couldn't type for about 3 months. Here are the tasks that I usually find myself needing to type.
- Speech to text programs are very good nowadays. A colleague of mine always dictates his emails, due to carpal tunnel. Here are instructions for gmail and here for outlook.
- This one is tricky. If you have trouble writing on the blackboard, then consider recording a lecture where you talk through the important points in whatever book you're teaching from. Loom is a great free resource for this. It records your screen and your face (if you want) and you can scroll through the reading and talk through the important bits. If I couldn't type, I'd assign problems from the book instead of writing my own, and I'd devote class time to having students work in small groups instead of me writing on the board.
- Certainly you can dictate paragraphs of text (e.g., for the introduction) as in (1). But, references are hard and latexLaTeX is hard. Thomas Kojar has suggested a resource for speech to latexLaTeX. Another alternative would be to have zoomZoom meetings with co-authors to explain things and let them bear the brunt of the typing. If you can write by hand and not type (e.g., if a concussion is preventing you from looking at screens) then one option is so write things by hand and send pictures to your co-authors. If you don't have coauthors, this toolis a discussion of tools that can convert a photo of math into latexLaTeX. Specifically, it links to mathpixMathPix. Yet another alternative is to get a new speech to text program in which you can define your own speech commands, like latexLaTeX shortcuts, as described in as described hereKeks Dose's answer to What is the status of generating LaTeX from handwriting (i.e., OCR)?. The other answers there might help too.
- I would just drop non-esssentialessential activities like this. For letters of recommendation I'd use speech to text, or try to get the person to ask someone else considering my inability to type at the moment. For referee reports, I'd tell the journal of the delay and leave it up to them if they wanted to replace me with another referee.