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We apply a small magnetic field to strongly interacting matter with a gravitydual description as an electron star. These systems are both metallic andquantum critical at low energies. The resulting quantum oscillations are shownto be of the Kosevich-Lifshitz form characteristic of Fermi liquid theory. Itis seen that only fermions at a single radius in the electron star contributeto the oscillations. We proceed to show that the Fermi surface area extractedfrom the quantum oscillations does not obey the simplest statement of theLuttinger theorem, that is, it is not universally proportional to the totalcharge density. It follows that our system is a non-Fermi liquid thatnonetheless exhibits Kosevich-Lifshitz quantum oscillations. We explain how theLuttinger count is recovered via a field theoretic description involving acontinuum of `smeared' fermionic excitations.

Holographically smeared Fermi surface: Quantum oscillations and Luttinger count in electron stars