I am posting this as a way to report a bug and help some players potentially facing the same problems.

Playing the campaign, I could not stop having endless crashes at random times.

Eventually, I found that any resolutions higher than 1920x1080 would lead to crashes. (I have a 1440p screen + G-Sync, so I was playing at a higher resolution)

Restricting my self to a resolution of 1920x1080 resolved all my problems.

Note that I have an high end machine and 1440p is in no way a tough requirement for it. I am highly suspecting a bug with the game engine that just crashes at higher resolution than 1920x1080.

While I can enjoy the game now, a fix would still be welcomed.