Gunja Sachdeva

activity

20242026

collaborators

4 papers

q-bio.QM2026

$p$ -adic Bi-Filtrations for Topological Machine Learning on Genomic Sequences

Tirtharaj Dash, Gunja Sachdeva

We introduce pVR, a topological machine learning framework for alignment-free genomic sequence classification that combines $p$ -adic numbers with topological data analysis. Each DN…

math.RT2025

A finite Linear Dependence of Discrete Series Multiplicities

Kaustabh Mondal, Gunja Sachdeva

Let $G$ be a connected semisimple simply connected Lie group with a compact Cartan subgroup and let $Γ$ be a uniform lattice in $G$ . Let $G_{d}$ denote the set of equivalen…

math.RT2024

On Infinitesimal $τ$ -Isospectrality of Locally Symmetric Spaces

Chandrasheel Bhagwat, Kaustabh Mondal, Gunja Sachdeva

Let $(τ, V_{τ})$ be a finite dimensional representation of a maximal compact subgroup $K$ of a connected non-compact semisimple Lie group $G$ , and let $Γ$ be a uniform torsion-free l…

math.NT2024

Algebraicity of ratios of special $L$ -values for $GL (n)$

Ankit Rai, Gunja Sachdeva

We prove, under certain assumptions, algebraicity of the ratio $L (m, Π \times χ) / L (m, Π \times χ^{'})$ , where $Π$ is a cuspidal automorphic cohomological unitary representation of $\mat…

p-adic Bi-Filtrations for Topological Machine Learning on Genomic Sequences

A finite Linear Dependence of Discrete Series Multiplicities

On Infinitesimal τ-Isospectrality of Locally Symmetric Spaces

Algebraicity of ratios of special L-values for GL(n)

$p$ -adic Bi-Filtrations for Topological Machine Learning on Genomic Sequences

On Infinitesimal $τ$ -Isospectrality of Locally Symmetric Spaces

Algebraicity of ratios of special $L$ -values for $GL (n)$