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We construct the halo mass function (HMF) from the GAMA galaxy groupcatalogue over the mass range 10^12.7M_sol to 10^15.5M_sol, and find goodagreement with the expectation from LambdaCDM. In comparison to previousstudies, this result extends the mass range over which the HMF has now beenmeasured over by an order of magnitude. We combine the GAMA DR4 HMF withsimilar data from the SDSS DR12 and REFLEX II surveys, and fit a four-parameterMurray-Robotham-Power (MRP) function, valid at z~0.1, yielding: a densitynormalisation of: log10 (phi Mpc^3)=-3.96[+0.55,-0.82], a high mass turn-overof: log10(M/M_sol)=14.13[+0.43,-0.40], a low mass power law slope of:alpha=-1.68[+0.21,-0.24] , and a high mass softening parameter of: beta=0.63[+0.25,-0.11]. If we fold in the constraint on Omega_M from Planck 2018Cosmology, we are able to reduce these uncertainties further, but this relieson the assumption that the power-law trend can be extrapolated from10^12.7M_sol to zero mass. Throughout, we highlight the effort needed toimprove on our HMF measurement: improved halo mass estimates that do not relyon calibration to simulations; reduced halo mass uncertainties needed tomitigate the strong Eddington Bias that arises from the steepness of the HMFlow mass slope; and deeper wider area spectroscopic surveys. To our halo masslimit of 10^12.7 M_sol, we are directly resolving (`seeing') 41+/-5 per cent ofthe total mass density, i.e. Omega_[M>12.7]=0.128+/-0.016, opening the door forthe direct construction of 3D dark matter mass maps at Mpc resolution.

An empirical measurement of the Halo Mass Function from the combination of GAMA DR4, SDSS DR12, and REFLEX II data