What is the difference?: Good luck on/with/at/in your ～
Hello,
When I say
"Good luck 【①on ②with③at ④in】 your work",
What is the difference? The meaning will change?

Question

What is the difference?: Good luck on/with/at/in your ～
Hello,
When I say 
"Good luck 【①on ②with③at ④in】  your work",
What is the difference? The meaning will change?

Answer

Mika:

I do not think that the meaning really changes.  You actually can use any of these    in this particular sentence and it works fine.

GL  On    your   work,  
 GL   With  your work,  
 GL     At  your work, 
GL      In your work

For  ordinary  conversation,  wishing good luck any of the 4 ways will serve.

by the way Mika:
Good luck  with   your   English studies.
Good luck at your   English studies. Good luck   in your  English  studies.
Good luck  on your studies.