17 citations · 59 across the 12 of their papers we have counts for
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math.DG2023★ 1 cited
Geometric quantization results for semi-positive line bundles on a Riemann surface
George Marinescu, Nikhil Savale
In earlier work the authors proved the Bergman kernel expansion for semipositive line bundles over a Riemann surface whose curvature vanishes to atmost finite order at each point.…
math.CV2023★ 2 cited
Kähler-Einstein Bergman metrics on pseudoconvex domains of dimension two
Nikhil Savale, Ming Xiao
We prove that a two dimensional pseudoconvex domain of finite type with a Kähler-Einstein Bergman metric is biholomorphic to the unit ball. This answers an old question of Yau for…
math.AP2023
Quantitative version of Weyl's law
Nikhil Savale
We prove a general estimate for the Weyl remainder of an elliptic, semiclassical pseudodifferential operator in terms of volumes of recurrence sets for the Hamilton flow of its pri…