Kaushal Verma

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math.CV2026

Rigidity of the escaping set of polynomial automorphisms of $C^{2}$

Sayani Bera, Kaushal Verma

Let $H$ be a polynomial automorphism of $C^{2}$ of positive entropy and degree $d \geq 2$ . We prove that the escaping set $U^{+}$ (or equivalently, the non-escaping set $K^{+}$ ),…

math.CV2023

Weighted Szegő Kernels on Planar Domains

Aakanksha Jain, Kaushal Verma

We study properties of weighted Szegő and Garabedian kernels on planar domains. Motivated by the unweighted case as explained in Bell's work, the starting point is a weighted Kerzm…

math.CV2023

Regularity of the leafwise Poincare metric on singular holomorphic foliations

Sahil Gehlawat, Kaushal Verma

Let $F$ be a smooth Riemann surface foliation on $M ∖ E$ , where $M$ is a complex manifold and the singular set $E \subset M$ is an analytic set of codimension at l…

Rigidity of the escaping set of polynomial automorphisms of C2

Weighted Szegő Kernels on Planar Domains

Regularity of the leafwise Poincare metric on singular holomorphic foliations

Rigidity of the escaping set of polynomial automorphisms of $C^{2}$