Let $\psi$ be a Hecke chacter. Kaufman (1979) and Sohne (1996) proved a $t$-aspect subconvex bound for $L(s,\psi)$, while recently Michel-Venkatesh (2010) proved a uniform subconvex bound in all aspects. Wu (2016) followed Michel-Venkatesh to prove a conditional Burgess bound in conductor aspect. We follow recent methods developed by Munshi to prove a Weyl bound in $t$-aspect for Hecke character L-functions of imaginary quadratic fields, and a hybrid bound in conductor aspect as strong as the Weyl bound.
11/13/2017 - Claire Burrin (Rutgers) - TBA