Lien Cartaya

I am a Ph.D. candidate at the Institute of Mathematics, Universidad de Talca, Chile, under the supervision of Professor Stephen Griffeth. I completed my Master’s degree in Mathematics at Universidad de Talca in 2024, also under his supervision, and earned my undergraduate degree in Mathematics from Universidad de La Habana in 2020.

My research lies in representation theory, invariant theory, and non-commutative algebra, with particular interest in reflection groups, rational Cherednik algebras, symplectic reflection algebras, quotient singularities, and diagonal coinvariant rings.

My current work focuses on zero-fiber rings associated with quaternionic reflection groups, combining tools from representation theory, invariant theory, and computational algebra.