Sumit Roy

collaborators

4 papers

math.DG2026

Quadratic one-forms on logarithmic Higgs moduli

Sumit Roy

Let $C$ be a compact Riemann surface of genus at least two, and let $G$ be a connected complex reductive group. We study quadratic one-forms associated to logarithmic $G$ -Higgs bun…

math.OC2026

A mathematical model to predict growth and treatment for UPS cancer

Sumit Roy

We propose a mathematical model for the growth and treatment of Undifferentiated Pleomorphic Sarcoma (UPS) using a system of nonlinear differential equations. The model combines Go…

math.AG2026

Semiprojectivity and very stability in moduli of symplectic and orthogonal parabolic Higgs bundles

Sumit Roy

Let $X$ be a compact Riemann surface of genus $g \geq 2$ , and let $D \subset X$ be a fixed finite subset. We prove the semiprojectivity of the moduli space of semistable symplectic…

eess.SP2025

LEO Downlink Channel Model Revisited: Scattering Geometry-Inspired Derivation

Kuan-Po Chiu, Sumit Roy

This paper presents a new derivation of LEO-to-ground receiver channel model to address a clear gap in the prior art: the lack of an appropriate geometry aware characterization of…