Capt. Stern is on the top floor of the museum. You can't get in though, because there is a line of Grunts blocking the entrance.
So first, you need to go to his Shipyard (still in Slateport) and talk to the guy north of the door. His name is Dock, and he'll tell you to deliver the Goods to Stern.
When you go back to the museum, the Grunts are gone.
You need $50 to get into the museum.
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You have to beat the Dewford Gym then go in the museum in Slateport where there was a long line of Team Aqua, he's on the second floor.
go to the big brown building and talk to the bald guy sat at the table on the ground floor after talking to him the museum is no longer blocked by team aqua/magma, go to the top floor and he is the scientist
You can't find a Dawnstone in Pokemon Emerald
he is the champion in emerald
You can´t find it on Emerald