I am new here but very interested in learning the Turkish language.  How do I say

"I think of you and I forget the world" ?

Thanks and I look forward to contributing as I learn more

Wellcome wilf. Your sentence would be like this :

 " I think of you and I forget the world "

" Seni düşünür ve dünyayı unuturum.´ 

Seni düşündüğümde dünyayı unuturum? 

 Seni düşündüğümde dünyayı unuturum = I forget the world when I think of you

Agree. But I read the original English as meaning that there is a connection between the two statements. The reason s/he forgets the world is they think of you.

Another alternative acceptable translation could be:

seni düşünüp dünyayı unuturum

Yes, there is definitely a connection between the statements. 

"I forget the world when I think of you" is a better way of saying it.

Thank you for all the help

You are welcome