Mechanical modulation of recoilless nuclear transitions allows the dynamic control of $\gamma$-ray emission and absorption. Accessing modulation frequencies well above the nuclear linewidth enables coherent manipulation of the nuclear response. Here we demonstrate high-frequency control via efficient coupling of a film of enriched ${}^{57}\mathrm{Fe}$ to a 97.9 MHz surface acoustic wave, nearly 2 orders of magnitude higher than the nuclear linewidth. The mechanical drive produces a comb of absorption sidebands in the Mössbauer spectrum, reflecting the periodic time modulation of the nuclear transitions. This constitutes the highest frequency mechanically driven Mössbauer resonance to date. Our solid-state, monolithic platform establishes a new interface between nuclear transitions and high-frequency acoustics, with applications in $\gamma$-ray quantum optics and precision nuclear spectroscopy.

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• Atomic, optical & lattice clocks
• Light-matter interaction
• Optomechanics
• Gamma-ray techniques
• Mössbauer spectroscopy
• Surface acoustic wave