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Global observables such as the pseudorapidity distributions of particlemultiplicities in the final state are crucial to shed light into the physicsprocesses involved in hadronic collisions. In proton$-$lead (p$-$Pb) collisionsat Large Hadron Collider (LHC) energies, such measurements provide an importantbaseline to understand lead$-$lead (Pb$-$Pb) results by disentangling hotnuclear matter effects from the ones due to the cold nuclear matter.Multiplicity measurements can also put constraints on theoretical modelsdescribing the initial stages of the collision, e.g., to what degree thenucleon and the nuclei interact as dilute (partons) or dense (CGC-like) fields.The study of inclusive photon multiplicity aims to provide complementarymeasurements to those obtained with charged particles.  In these proceedings, the pseudorapidity distributions of inclusive photonsat forward pseudorapidity ($2.3 < \eta_{\rm lab} < 3.9$) in pp and p$-$Pbcollisions at $\sqrt{s_{\rm NN}}$ = 5.02 TeV are presented. The data sampleswere collected using the Photon Multiplicity Detector (PMD) of ALICE. Themultiplicity dependence of photon production in p$-$Pb collisions is presentedand a comparison with charged-particle distributions measured atmid-pseudorapidity is shown. The results are also compared with predictionsfrom Monte Carlo event generators.

Inclusive photon multiplicity at forward pseudorapidities in pp and p$-$Pb collisions at $\sqrt{s_{\rm NN}}$ = 5.02 TeV with ALICE