I am interested in geometric group theory and geometric topology. In particular, my research concerns right-angled Artin groups, mapping class groups, braid groups, arrangement groups, and quantum representations.
My research lies at the meeting ground of algebra, number theory and algebraic geometry. More precisely, I am primarily interested in various properties of algebraic groups over non-algebraically closed fields, with special focus on local and global fields. I also study linear representations of finitely generated groups using the technique of representation varieties and try to understand the phenomenon of representation rigidity.
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