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math.CO2026
On determinants of resistance matrices
Harry Richman, Farbod Shokrieh, Chenxi Wu
We prove a new combinatorial identity for the determinant of the resistance matrix of a finite graph, which involves counts of spanning trees and forests. This generalizes a result…
math.NT2026
Integral torsion points on abelian varieties over function fields
Robin de Jong, Nicole Looper, Farbod Shokrieh
We prove an analogue, over global function fields, of a conjecture due to Su-Ion Ih concerning the non-Zariski density of torsion points on abelian varieties that are integral with…