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The Cornell Electron Storage Ring operates with seven bunches per beam and 11ma per bunch to yield a peak luminosity of 1×1032cm−2 s−1 in each of two interaction areas of the γ(5s) resonance. The corresponding daily integrated luminosity is 4.7pb−1. An electrostatic orbit distortion separates the beams at the 12 parasitic crossings. The beam‐beam limit can be upgraded by the elimination of one of the two interaction regions, doubling of the number of bunches per beam from 7 to 14, and enhancing the beam width at the interaction point. Currents of about 300ma/beam will be required to operate the reconfigured machine at its beam‐beam limit. The scheme of upgrades is expected to yield a factor of five increase in CESR luminosity to more than 5×1032cm−2 s−1.