The heavy fermion systems present a unique platform in which strong electronic correlations give rise to a host of novel, and often competing, electronic and magnetic ground states. Amongst a number of potential experimental tools at our disposal, measurements of the Hall effect have emerged as a particularly important one in discerning the nature and evolution of the Fermi surfaces of these enigmatic metals. In this article, we present a comprehensive review of Hall effect measurements in the heavy-fermion materials, and examine the success it has had in contributing to our current understanding of strongly correlated matter. Particular emphasis is placed on its utility in the investigation of quantum critical phenomena which are thought to drive many of the exotic electronic ground states in these systems. This is achieved by the description of measurements of the Hall effect across the putative zero-temperature instability in the archetypal heavy-fermion metal YbRh 2 Si 2 . Using the CeM In 5 (with M = Co, Ir) family of systems as a paradigm, the influence of (antiferro-)magnetic fluctuations on the Hall effect is also illustrated. This is compared to prior Hall effect measurements in the cuprates and other strongly correlated systems to emphasize on the generality of the unusual magnetotransport in materials with non-Fermi liquid behavior. Advances in Physics Hallreview7x 7. Comparison to Hall effect of other correlated materials 62 7.1. Copper oxide superconductors and related systems 62 7.1.1. Cuprates 62 7.1.2. Comparison of cuprates and heavy-fermion systems 67 7.1.3. Hall effect in oxy-pnictides and related systems 69 7.2. Other systems of related interest 70 7.3. Colossal magnetoresistive manganites 70 8. Summary 73 9. AppendixAdvances in Physics Hallreview7x 6 a) b) T N SDW non-FL LFL δ T c δ T 0 T T N antiferromagnetic order * LFL T non-FL LFL δ T c δ T 0 Figure 1. Comparison of quantum criticality in a) the spin-density wave (SDW) and b) the locally critical scenario.δ refers to an external control parameter for tuning the material to its QCP at δc. The hatched areas indicate phase space regions within which the heavy quasi-particles are formed, whereas the arrows illustrate the existence of local magnetic moments. In the local scenario (b) the quasi-particles themselves break apart at δc. At finite temperatures the quasiparticles disintegrate within a crossover range indicated by the T * line. T LFL marks the temperature below which LFL behavior is found, whereas T 0 denotes the onset temperature for initial Kondo screening.