In the phrase:

> 
> дом Ивана
> 
> 
> 

"Иван" is in the genitive, which means that the above translates to "Ivan's house". Following this pattern, if I wanted to say "my house", I should logically be able to do that by using я in the genitive:

> 
> дом меня
> 
> 
> 

However, in practice I always hear it as "мой дом". Is it *ever* possible to use "дом меня" to mean "my house"? If so, how is it different to "мой дом"?