The speaker describes mathematical intuition as recognizing likely geometric relationships or algebraic structure from a problem.

“look at one object or one example then you basically say okay now I think I can invent some new methods and you can invent some new theory and lastly it's like intuition so you look at the for example the geometry you look at the geometry problems and you kind of already know okay these these two lines are parallel or these two lines are perpendicular or even just look at algebra problems and you know like okay this”

“This group has this structure.”