Claudio Pellegrini, a professor of thermal and fluid sciences at the Federal University of São João del-Rei in Brazil, has calculated the optimal shape for a beer glass to keep the beer cold for as long as possible. He has written a paper describing his analysis of beer glass shapes and posted it on the arXiv preprint server.
Used a bunch of assumptions like keeping a normal shape and no thermal resistance from the glass and no heat transfer from the bottom and came to the conclusion that regular beer glasses are fine. No, they didn’t even show what the “optimal” beer glass looked like.