3 papers
math.GT2026
The Geometric P=W conjecture and Thurston's compactification
Ashwin Ayilliath-Kutteri, Mohammad Farajzadeh-Tehrani, Charles Frohman
In this paper, we use new results together with established facts about Thurston's compactification of Teichmüller space to address the geometric P=W conjecture for $\mathrm{SL}(2…
math.AG2026
On compactifications of the SL(2,C) character varieties of punctured surfaces
Mohammad Farajzadeh-Tehrani, Charles Frohman
This paper addresses some conjectures and questions regarding the absolute and relative compactifications of the $\SL(2,\C)$-character variety of an -punctured Riemann surface w…
math.AG2025
What is a stable log map?
Mohammad Farajzadeh-Tehrani, Mohan Swaminathan
Let be a smooth projective variety over with a simple normal crossings divisor . We compare the notions of stable log maps to in algebraic geom…