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We suggest the future detection of neutrinos from a Galactic core-collapsesupernova can be used to infer the progenitor's inner mass density structure.We present the results from 20 axisymmetric core-collapse supernova simulationsperformed with progenitors spanning initial masses in the range 11--30Msun, andfocus on their connections to the progenitor compactness. The compactness is ameasure of the mass density profile of the progenitor core and recentinvestigations have suggested its salient connections to the outcomes of corecollapse. Our simulations confirm a correlation between the neutrinos emittedduring the accretion phase and the progenitor's compactness, and that the ratioof observed neutrino events during the first hundreds of milliseconds providesa promising handle on the progenitor's inner structure. Neutrino flavor mixingduring the accretion phase remains a large source of uncertainty.

Estimating the core compactness of massive stars with Galactic supernova neutrinos