The combination of ferromagnets with topological superconductors or insulators allows for new phases of matter that support excitations such as chiral edge modes and Majorana fermions. EuS, a wide-bandgap ferromagnetic insulator with a Curie temperature around 16 K, and SrTiO 3 (STO), an important substrate for engineering heterostructures, may support these phases. We present scanning superconducting quantum interference device measurements of EuS grown epitaxially on STO that reveal micron-scale variations in ferromagnetism and paramagnetism. These variations are oriented along the STO crystal axes and only change their configuration upon thermal cycling above the STO cubic-to-tetragonal structural transition temperature at 105 K, indicating that the observed magnetic features are due to coupling between EuS and the STO tetragonal structure. We speculate that the STO tetragonal distortions may strain the EuS, altering the magnetic anisotropy on a micron scale. This result demonstrates that local variation in the induced magnetic order from EuS grown on STO needs to be considered when engineering new phases of matter that require spatially homogeneous exchange. EuS is a well-studied wide-bandgap ferromagnetic insulator with a NaCl-type structure (lattice constant of 5.94Å) and a bulk Curie temperature of 16.8 K [1][2][3]. It has historically been used as an efficient spin filter to spin-polarize charge currents. [4][5][6][7][8][9]. Because EuS is considered a simple Heisenberg ferromagnet (a ferromagnet that can orient in any threedimensional (3D) direction [10]), it has long been considered a model system to test theories of magnetism [11][12][13][14]. EuS has been of recent interest because it may induce magnetic order in topologically nontrivial systems [15,16]. For example, 3D topologically insulating Bi 2 Se 3 [17][18][19][20][21] has been combined with EuS to induce high-temperature ferromagnetism in the Bi 2 Se 3 [22]. Additional potential applications include the creation of topological superconductivity to produce zeroenergy Majorana fermion modes [23,24], the topological magnetoelectric effect [25,26], a magnetic monopole [27], and the quantum anomalous Hall effect [28,29]. In the latter example, one could grow a heterostructure of EuS/topological insulator/EuS with the intention of breaking time reversal symmetry on the top and bottom surface states in order to observe chiral edge modes [25].SrTiO 3 (STO) is a common substrate for growing new heterostructures such as high-temperature superconductors [30][31][32], ferroelectrics [33,34], and electronic systems with high spin-orbit coupling [35]. STO is a perovskite band insulator with a cubic unit cell. Excitingly, it becomes an unconventional superconductor when doped [36,37], and the interface between STO and another perovskite band insulator, LaAlO 3 , is both conducting [38,39] At 105 K, STO undergoes a cubic-to-tetragonal structural phase transition because of small rotations of the Ti-O octahedra that causes the unit cell to elongate along one ...