Author

Pradip Kumar

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Preprint Oct 2026

Ramification and Finiteness of Equivariant Minimal Surfaces

Let $S$ be a closed oriented surface of genus $g$, with $g\ \geq \ 2$, and let $\mathcal X_0^{\mathrm{good}}$ be the good locus of $\operatorname{PU}(2,\,1)$ representations with Toledo invariant zero. For $1\ \leq \ b\ \leq\ 2g-3$, we show that representations admitting an equivariant minimal map of total ramification...

Indranil Biswas, Satyajit Guin, Pradip Kumar · 0 citations

Preprint Aug 2026

On the complete maximal maps and their singularities

This article investigates the global structure of maximal surfaces (space-like immersions with zero mean curvature) in Lorentz-Minkowski $3$-space $\mathbb{E}^3_1$, especially focusing on the interplay between genus, the number of singular components--loci, and simple ends. We construct complete maximal maps with arbit...

Rivu Bardhan, Indranil Biswas, Pradip Kumar et al. · 0 citations