13 citations · 42 across the 19 of their papers we have counts for
22 papers
Algebraic loops, braids, and tropicalization
Konstantin Jakob, Masoud Kamgarpour, Ian Le
Let be a smooth complex algebraic variety. We develop a tropical framework for studying algebraic loops, i.e., free homotopy classes in associated with formal…
Counting points on braid varieties and the Deligne--Simpson problem
Masoud Kamgarpour, Bailey Whitbread
We solve the isoclinic Deligne--Simpson problem for exceptional groups, completing a program initiated by Sage et al. and Jakob--Yun. As a by-product, we obtain new examples of phy…
Counting points on generic character varieties
Masoud Kamgarpour, GyeongHyeon Nam, Bailey Whitbread +1
We count points on character varieties associated with punctured surfaces and regular semisimple generic conjugacy classes in reductive groups. We find that the number of points ar…
Differential Galois groups of -connections with Coxeter singularities
Masoud Kamgarpour, Daniel S. Sage
A fundamental theorem of Katz \cite{Katz87} determines the differential Galois groups of rank connections on algebraic curves with slope at a singularity, where $\gcd(r,n…
Arithmetic geometry of character varieties with regular monodromy
Masoud Kamgarpour, GyeongHyeon Nam, Anna Puskás
We study character varieties arising as moduli of representations of an orientable surface group into a reductive group . We first show that if acts freely on the represen…
Character stacks are PORC count
Nick Bridger, Masoud Kamgarpour
We compute the number of points over finite fields of the character stack associated to a compact surface group and a reductive group with connected centre. We find that the answer…