3 papers
math.GT2026
Small genus, small index critical points of the systole function
Ni An, Ferdinand Ihringer, Ingrid Irmer
In this paper the index of a family of critical points of the systole function on Teichmüller space is calculated. The members of this family are interesting in that their existen…
math.GT2026
Length minimization of filling pairs on hyperbolic surfaces
Ni An, Bhola Nath Saha, Bidyut Sanki
A filling pair of a surface is a pair of simple closed curves in minimal position such that the complement of in is a disjoint union of topologica…
math.GT2024
Algebraic aspects of holomorphic quantum modular forms
Ni An, Stavros Garoufalidis, Shana Yunsheng Li
Matrix-valued holomorphic quantum modular forms are intricate objects that arise in successive refinements of the Volume Conjecture of knots and involve three holomorphic, asymptot…