Shock waves appear in a wide variety in space plasmas where they act to slow down and heat supersonic flows before the plasma can encounter an obstacle. Plasma shocks in the heliosphere and in astrophysical settings are often collisionless, meaning that heating and entropy generation takes place through interactions between the particles and the electromagnetic fields (Krall, 1997;Parks et al., 2017). Due to the collisionless nature of the shock waves, energy is not partitioned equally between the plasma species. Ions, which gain most of the dissipated energy (e.g., Schwartz et al., 1988;Vink et al., 2015), are principally heated by the instability between gyrobunched shock-reflected and the transmitted ions (Sckopke et al., 1983).Electron heating happens in an interplay between the betatron effect through an increase in magnetic field and the electric cross-shock potential (DC fields) on one hand and wave-particle interactions (AC fields) at the shock (Goodrich & Scudder, 1984;Scudder, 1995). Since electron thermal speeds in the solar wind are much greater than the bulk speed, electrons are free to move across the shock along the magnetic field in both directions. The DC fields act to adiabatically inflate the distribution in velocity space, leaving a hole in velocity space. This phase-space inflation is reversible and therefore does not produce entropy (Balikhin et al., 1993;Lindberg et al., 2022). The hole left in velocity is filled by electron scattering by AC fields, which leads to a flat-top electron distribution downstream of the shock (Feldman et al., 1983). Through which processes the non-reversible heating takes place in shocks is not fully understood but short-wavelength electrostatic waves, which likely form from the instability from the inflation of the electron distributions, have been observed at the shock with amplitudes which suggests that they can efficiently scatter electrons (e.g.,