We overview recent theoretical developments in the search for QCD critical point at finite temperature and density, including from lattice QCD, effective QCD theories, and proton number cumulants in heavy-ion collisions. We summarize the available constraints and predictions for the critical point location and discuss future challenges and opportunities.
Comment: 7 pages, 2 figures. Proceedings of the XXXth International Conference on Ultrarelativistic Nucleus-Nucleus Collisions (Quark Matter 2023), Houston, Texas, USA, September 3-9, 2023