Russain reflexive pronoun

Hi,

I want a native speaker of Russian to examine the following sentence
first:

1. Professor poprosil assistenta chitat' svoj doklad.

This means "The professor asked the assistant to read self's report.

Now, what is the word for "me" in Russian, if I want to replace
"assistenta" by it?

And, once we have the Russian word for "me" in place
of "assistenta", can "svoj" refer to "Professor"?

(I was told that svoj in (1) can refer either to "assistenta" or
"professor".)

I'd appreciate your help.

Ray