In the coming years, the Nuclotron at JINR in Dubna will deliver gold beams with energies of up to 3.8A GeV and intensities of up to 2.5∙106 ions/s. These beams are well suited for experiments devoted to the study of the properties of dense baryonic matter, such as the equation-of-state and new microscopic degrees-of-freedom which might emerge at neutron star core densities. The relevant observables in heavy-ion collisions at these energies include the yields and multi-differential distributions of (multi-) strange particles, the collective flow of identified particles, fluctuation of conserved quantities, and hypernuclei. In order to measure these observables in Au+Au collisions with rates of up to 50 kHz, the existing BM@N setup in the Nuclotron target hall will be upgraded with a highly granulated and fast hybrid tracking system, and a forward calorimeter for event plane determination. The BM@N physics program, the detector upgrades, and some results of physics performance studies will be presented.