Research Focus
Algebra
My primary research focus is the arithmetic of hypergeometric motives and their relationship to automorphic forms. I'm especially interested in the relationship between different aspects of hypergeometric motives, including Galois representations, special values of L-functions, and related objects.
Publications
- Esme Rosen. L-values of certain weight 3 modular forms and transformations of hypergeometric series. Research in the Mathematical Sciences, 13(57), 2026.
- Esme Rosen. Modular Forms and Certain 2 F1(1) Hypergeometric Series. Proceedings of the American Mathematical Society,154(7):2803–2818, 2026.