2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/201071We study conformal gravity in d=2+1, where the Cotton tensor is equated to a--necessarily traceless--matter stress tensor, for us that of the improved scalar field. We first solve this system exactly in the $pp$ wave regime, then show it to be equivalent to topologically massive gravity.6 pages. Dedicated to Andrzej Staruszkiewicz, a pioneer in d=3 gravity, on his 65th birthdayGeneral Relativity and Quantum CosmologyHigh Energy Physics - Theorytext