“Brain Storm” is episode sixteen of season five of Stargate: Atlantis.
Rodney invites Dr. Keller to accompany him to a physics presentation back on Earth – basically, on a date (of the Rodney kind) – being held by an old acquaintance of his.
The presentation includes a demonstration of a new technology that is supposed to help prevent global warming; a technology Rodney claims has been stolen from his research – something that he has apparently got a habit of doing.
The demonstration goes horribly wrong, and Rodney has to save the day.
This episode is mostly about Rodney and Jennifer, with only Ronon and Sheppard of the rest of the regular cast appearing, very briefly, at the beginning.
There are appearances by both Bill Nye and Neil deGrasse Tyson as (hopefully fictionalised) versions of themselves (Stephen Hawking doesn’t actually appear in the episode, even though it seems as he may have). Bill Nye has a fairly substantial role (interestingly, all three have appeared as themselves on The Big Bang Theory).