Pranav Haridas

activity

20142026

collaborators

5 papers

math.GT2026

Geometric Monodromy of Mixed Braid Groups and the Multivariate Burau Representation

Athira E, Pranav Haridas

We study the monodromy action of the mixed braid group $B_{n, P}$ on the first cohomology of cyclic branched covers of $P^{1}$ , which are mutually determined by a p…

math.CV2018

A $1$ -point Quadrature domain of order $1$ not biholomorphic to a balanced domain

Pranav Haridas, Jaikrishnan Janardhanan

It is known that if $f : D_{1} \to D_{2}$ is a polynomial biholomorphism with polynomial inverse and constant Jacobian then $D_{1}$ is a $1$ -point Quadrature domain (the Bergman span cont…

math.CV2018

A note on the smoothness of the Minkowski function

Pranav Haridas, Jaikrishnan Janardhanan

The Minkowski function is a crucial tool used in the study of balanced domains and, more generally, quasi-balanced domains in several complex variables. If a quasi-balanced domain…

math.CV2016

Comments on the Green's function of a planar domain

Diganta Borah, Pranav Haridas, Kaushal Verma

We study several quantities associated to the Green's function of a multiply connected domain in the complex plane. Among them are some intrinsic properties such as geodesics, curv…

math.CV2014

Quadrature domains in $C^{n}$

Pranav Haridas, Kaushal Verma

We prove two density theorems for quadrature domains in $C^{n}$ , $n \geq 2$ . It is shown that quadrature domains are dense in the class of all product domains of the form $D…