What school is Badiou? I've always ignored him as a Zizek-type philosophiser. Is the book any good? The title sounds puzzling.
Continental, post-Marxist, with strong grounding in math, logic, and Platonism. Or post-Platonism if you like.
He’s part of the Generation that was influenced by May ‘68 events in France, but he has declined to be lumped in with the postmodernists in general.
Even so, other reference points would be Lacan and Deleuze, also Sartre and Hegel, and Cantor.
He has influenced Zizek.
Some people might throw all of this out and point to the Sokal hoax, but Badiou has read so much across so many fields - the lines of thought are really engaging though difficult. Not Pomo BS in my opinion (even though I enjoyed Derrida years ago too - so I’m biased for, not against...).
I think it’s worth a try and maybe 2-3 tries. ; )
Shorter works include Polemics and Metapolitics. But Being and Event and Logics of Worlds (B&E II) are where the framework is laid out in intricate detail. Also Theory of the Subject.
There are lots of other choices and starting points too. Bon appetit!