More specifically, I am interested in learning more about the analytic behavior of Sato-Shintani type zeta functions associated to various prehomogeneous vector spaces.
with R. Takloo-Bighash, On A Multiple Dirichlet Series Associated to Binary Cubic Forms II, in preparation
with R. Takloo-Bighash, A two variable zeta function associated to the space of binary forms of degree d, preprint
with R. Hough, Subconvexity of Hecke character twisted Sato-Shintani zeta functions over an arbitrary base field, in preparation
with R. Hough, q-aspect subconvexity of Sato-Shintani zeta functions, in preparation
with R. Hough, Subconvexity of twisted Shintani zeta functions, submitted, Preprint
with R. Hough, Subconvexity of all Sato-Shintani zeta functions, in preparation
with R. Hough, Subconvexity of Shintani's zeta functions. Trans. AMS, 2022, Preprint
with R. Hough, Lower order terms in the shape of cubic fields, in preparation
with R. Hough, Eisenstein series twisted Shintani zeta functions, submitted, Preprint
with R. Takloo-Bighash, On A Multiple Dirichlet Series Associated to Binary Cubic Forms. J. of Number Theory, 2021, Article
Periodicity of Multidimensional Continued Fractions, Preprint