Apeksha Sanghi

activity

20242026

collaborators

3 papers

math.NT2026

Weighted Fruit Diophantine Equations and Hyperelliptic Curves

Jewel Mahajan, Apeksha Sanghi

We study the weighted fruit Diophantine equation $a x^{d} - c (m^{2} y^{2} + n^{2} z^{2}) + x y z - b = 0$ , generalising previous work by Majumdar--Sury, Vaishya--Sharma, and Pra…

math.GT2025

Liftability of periodic mapping classes under alternating covers

Apeksha Sanghi, Kashyap Rajeevsarathy, Rajesh Dey

Let $S_{g}$ be the closed orientable surface of genus $g \geq 2$ , and let $Mod (S_{g})$ be the mapping class group of $S_{g}$ . Let $A_{n}$ denote the alternating group on $n$ lette…

math.GT2024

Orderability of big mapping class groups

Pravin Kumar, Apeksha Sanghi, Mahender Singh

We give an alternate proof of the left-orderability of the mapping class group of a connected oriented infinite-type surface with a non-empty boundary. Our main strategy involves t…