activity
20162026
most citedExistence of maximal surface containing given curve and special singularity

5 citations · 27 across the 22 of their papers we have counts for

collaborators

23 papers

math.RT2026

-Oper Structures on a Formal Punctured Disc

Rudrendra Kashyap, Rahul Singh

Let be a connected reductive complex algebraic group and let be not a root of unity. We prove that every -connection on a formal punctured disc…

math.AG2026

Spectral and Logarithmic Atiyah Classes for Higgs Bundles

Pradip Kumar, Sai Rasmi Ranjan Mohanty, Savita Rani +1

For a regular semisimple Higgs bundle with a smooth spectral curve, we prove that, over the \etale\ locus, the Atiyah class of the underlying bundle is induced by the Atiyah class…

math.AG2023

Characteristic cycles of IH sheaves of simply laced minuscule Schubert varieties are irreducible

Leonardo C. Mihalcea, Rahul Singh

Let be a complex cominuscule flag manifold of type . We prove that each characteristic cycle of the intersection homology (IH) complex of a Schubert variety in …

math.AG2022

Conormal Varieties of covexillary Schubert Varieties

Rahul Singh

A permutation is called covexillary if it avoids the pattern . We construct an open embedding of a covexillary matrix Schubert variety into a Grassmannian Schubert variety. A…

math.AG2021

Equivariant Chevalley, Giambelli, and Monk Formulae for the Peterson Variety

Rebecca Goldin, Rahul Singh

We present a formula for the Poincaré dual in the flag manifold of the equivariant fundamental class of any regular nilpotent or regular semisimple Hessenberg variety as a polynomi…

math.AG2021

Counting Parabolic Principal G-bundles with Nilpotent Sections over

Rahul Singh

Let be a split connected reductive group over and let be the projective line over . Firstly, we give an explicit formula for the num…