We were never taught the notations, he would just pull out dozens of glyphs from his vast experience in mathematics - not the standard notations you might find

We were never taught the notations, he would just pull out dozens of glyphs from his vast experience in mathematics - not the standard notations you might find in a text book. I won't deny that I could've researched these topics deeply in my own time enough to keep up with the graduate student, but I myself had no interest in being a graduate math student just to pass the course.