Gaming with math nerds

[primeideal]

"Let's invite [Joe]."
"Which Joe?"
"You know...Joe...our friend."
"Joe? What's his last name?"
"Joe...[Smith]?" (There is a Joe Smith but this is not the Joe we're thinking of.)
"Not the Rubik's cube guy?" (This is Joe Smith.)
"I mean, [David] is the Rubik's cube guy." (David is one of the people already here.)
"Joe. [Alex]' husband."
"Alex my age?"
"Girl Alex."
"Oh..."
"Joe! Who lived in a van!"
"Ohhh, Joe from the van!"
"Yeah, Joe Brown."
"From now on his name is Joe In-The-Van."